diff --git a/docs/index.rst b/docs/index.rst index e594c631..7e5166cf 100644 --- a/docs/index.rst +++ b/docs/index.rst @@ -82,11 +82,11 @@ Up to versions 0.1.x this package was called *TimeEvolvingMPO*. :maxdepth: 1 :caption: Tutorials - pages/tutorials/quickstart/quickstart - pages/tutorials/pt_tempo/pt_tempo - pages/tutorials/bath_dynamics/bath_dynamics - pages/tutorials/pt_tebd/pt_tebd - pages/tutorials/mf_tempo/mf_tempo + pages/tutorials/quickstart + pages/tutorials/pt_tempo + pages/tutorials/bath_dynamics + pages/tutorials/pt_tebd + pages/tutorials/mf_tempo .. toctree:: :maxdepth: 1 diff --git a/docs/pages/tutorials/bath_dynamics/bath_dynamics.rst b/docs/pages/tutorials/bath_dynamics.rst similarity index 97% rename from docs/pages/tutorials/bath_dynamics/bath_dynamics.rst rename to docs/pages/tutorials/bath_dynamics.rst index 94b10e43..570ee0d1 100644 --- a/docs/pages/tutorials/bath_dynamics/bath_dynamics.rst +++ b/docs/pages/tutorials/bath_dynamics.rst @@ -157,7 +157,7 @@ matrix elements evolve. -.. image:: output_10_2.png +.. image:: bath_dynamics_files/bath_dynamics_10_2.png Already the process tensor tells us everything we could want to know @@ -254,7 +254,7 @@ frequency, in this case let’s look at ``w = Omega`` and a bandwidth of -.. image:: output_14_2.png +.. image:: bath_dynamics_files/bath_dynamics_14_2.png …that took quite a while. From the expression for :math:`\Delta Q` is @@ -287,14 +287,13 @@ see what happens if we want the energy of another mode now, let’s say -.. image:: output_16_1.png +.. image:: bath_dynamics_files/bath_dynamics_16_1.png Much quicker! This is because the same set of system correlation functions can be used to compute any bath correlation function :math:`\langle \alpha_2(t_2)\alpha_1(t_1)\rangle` where -$:raw-latex:`\alpha`\_2, :raw-latex:`\alpha`\_1 -:raw-latex:`\in `{a_k^:raw-latex:`\dagger`,a_k} $ and +:math:`\alpha_2, \alpha_1 \in \{a_k^\dagger,a_k\}` and :math:`t_1,t_2 < t_N`. So now we see the logic of having a bath_dynamics object, it allows us to conveniently store the calculated system correlation functions and re-use them as we like :) @@ -331,7 +330,7 @@ exchanged over the process so simply look at the final value of -.. image:: output_18_1.png +.. image:: bath_dynamics_files/bath_dynamics_18_1.png This is highly oscillatory, perhaps unsurprising from the dynamics we @@ -366,7 +365,7 @@ we average over the last :math:`n` timesteps where -.. image:: output_20_1.png +.. image:: bath_dynamics_files/bath_dynamics_20_1.png Here, as in the paper, we see heat is absorbed by the system from the @@ -375,4 +374,3 @@ band of the modes in the vicinity of as in a Markovian theory the system would sample the environment purely at its eigensplitting :math:`\tilde{\Omega}`. --------------- diff --git a/docs/pages/tutorials/bath_dynamics/output_10_2.png b/docs/pages/tutorials/bath_dynamics_files/bath_dynamics_10_2.png similarity index 100% rename from docs/pages/tutorials/bath_dynamics/output_10_2.png rename to docs/pages/tutorials/bath_dynamics_files/bath_dynamics_10_2.png diff --git a/docs/pages/tutorials/bath_dynamics/output_14_2.png b/docs/pages/tutorials/bath_dynamics_files/bath_dynamics_14_2.png similarity index 100% rename from docs/pages/tutorials/bath_dynamics/output_14_2.png rename to docs/pages/tutorials/bath_dynamics_files/bath_dynamics_14_2.png diff --git a/docs/pages/tutorials/bath_dynamics/output_16_1.png b/docs/pages/tutorials/bath_dynamics_files/bath_dynamics_16_1.png similarity index 100% rename from docs/pages/tutorials/bath_dynamics/output_16_1.png rename to docs/pages/tutorials/bath_dynamics_files/bath_dynamics_16_1.png diff --git a/docs/pages/tutorials/bath_dynamics/output_18_1.png b/docs/pages/tutorials/bath_dynamics_files/bath_dynamics_18_1.png similarity index 100% rename from docs/pages/tutorials/bath_dynamics/output_18_1.png rename to docs/pages/tutorials/bath_dynamics_files/bath_dynamics_18_1.png diff --git a/docs/pages/tutorials/bath_dynamics/output_20_1.png b/docs/pages/tutorials/bath_dynamics_files/bath_dynamics_20_1.png similarity index 100% rename from docs/pages/tutorials/bath_dynamics/output_20_1.png rename to docs/pages/tutorials/bath_dynamics_files/bath_dynamics_20_1.png diff --git a/docs/pages/tutorials/mf_tempo/mf_tempo.rst b/docs/pages/tutorials/mf_tempo.rst similarity index 97% rename from docs/pages/tutorials/mf_tempo/mf_tempo.rst rename to docs/pages/tutorials/mf_tempo.rst index cbce4851..ba7be9da 100644 --- a/docs/pages/tutorials/mf_tempo/mf_tempo.rst +++ b/docs/pages/tutorials/mf_tempo.rst @@ -36,7 +36,7 @@ We firstly import OQuPy and other useful packages: import matplotlib.pyplot as plt Check the current OQuPy version; mean-field functionality was introduced -in version **0.3.0**. +in version **0.3.0** and revised in its current format in **0.4.0.** .. code:: ipython3 @@ -352,8 +352,8 @@ used to compute the dynamics for an ordinary ``System``: .. parsed-literal:: --> TEMPO-with-field computation: - 100.0% 93 of 93 [########################################] 00:00:19 - Elapsed time: 20.0s + 100.0% 93 of 93 [########################################] 00:00:13 + Elapsed time: 13.3s ``MeanFieldTempo.compute`` returns a ``MeanFieldDynamics`` object @@ -385,12 +385,12 @@ producing the first part of a single line of **Fig. 2a.**: .. parsed-literal:: - + -.. image:: output_34_1.png +.. image:: mf_tempo_files/mf_tempo_34_1.png If you have the time you can calculate the dynamics to @@ -428,8 +428,8 @@ bath via .. parsed-literal:: --> PT-TEMPO computation: - 100.0% 93 of 93 [########################################] 00:00:06 - Elapsed time: 6.6s + 100.0% 93 of 93 [########################################] 00:00:02 + Elapsed time: 2.8s Refer the Time Dependence and PT-TEMPO tutorial for further discussion @@ -482,17 +482,17 @@ using the process tensor (now in a list) calculated above: .. parsed-literal:: --> Compute dynamics with field: - 100.0% 93 of 93 [########################################] 00:00:15 - Elapsed time: 15.0s + 100.0% 93 of 93 [########################################] 00:00:09 + Elapsed time: 9.6s --> Compute dynamics with field: - 100.0% 93 of 93 [########################################] 00:00:14 - Elapsed time: 14.0s + 100.0% 93 of 93 [########################################] 00:00:09 + Elapsed time: 9.9s --> Compute dynamics with field: - 100.0% 93 of 93 [########################################] 00:00:15 - Elapsed time: 15.8s + 100.0% 93 of 93 [########################################] 00:00:09 + Elapsed time: 9.9s --> Compute dynamics with field: - 100.0% 93 of 93 [########################################] 00:00:14 - Elapsed time: 14.6s + 100.0% 93 of 93 [########################################] 00:00:08 + Elapsed time: 8.7s Finally, plotting the results: @@ -513,12 +513,12 @@ Finally, plotting the results: .. parsed-literal:: - + -.. image:: output_43_1.png +.. image:: mf_tempo_files/mf_tempo_43_1.png 5. Summary @@ -535,4 +535,3 @@ dynamics: (process tensor) may be used to calculate ``MeanFieldDynamics`` - ``MeanFieldDynamics`` comprises one of more system ``Dynamics`` and a set of field values ``fields``. - diff --git a/docs/pages/tutorials/mf_tempo/output_34_1.png b/docs/pages/tutorials/mf_tempo/output_34_1.png deleted file mode 100644 index b192e9bc..00000000 Binary files a/docs/pages/tutorials/mf_tempo/output_34_1.png and /dev/null differ diff --git a/docs/pages/tutorials/mf_tempo/output_43_1.png b/docs/pages/tutorials/mf_tempo/output_43_1.png deleted file mode 100644 index 4e22535d..00000000 Binary files a/docs/pages/tutorials/mf_tempo/output_43_1.png and /dev/null differ diff --git a/docs/pages/tutorials/mf_tempo_files/mf_tempo_34_1.png b/docs/pages/tutorials/mf_tempo_files/mf_tempo_34_1.png new file mode 100644 index 00000000..39166466 Binary files /dev/null and b/docs/pages/tutorials/mf_tempo_files/mf_tempo_34_1.png differ diff --git a/docs/pages/tutorials/mf_tempo_files/mf_tempo_43_1.png b/docs/pages/tutorials/mf_tempo_files/mf_tempo_43_1.png new file mode 100644 index 00000000..df3fbeee Binary files /dev/null and b/docs/pages/tutorials/mf_tempo_files/mf_tempo_43_1.png differ diff --git a/docs/pages/tutorials/pt_tebd/pt_tebd.rst b/docs/pages/tutorials/pt_tebd.rst similarity index 96% rename from docs/pages/tutorials/pt_tebd/pt_tebd.rst rename to docs/pages/tutorials/pt_tebd.rst index 9a5b27da..3347a608 100644 --- a/docs/pages/tutorials/pt_tebd/pt_tebd.rst +++ b/docs/pages/tutorials/pt_tebd.rst @@ -69,7 +69,6 @@ density matrices. down_dm = oqupy.operators.spin_dm("z-") mixed_dm = oqupy.operators.spin_dm("mixed") - -------------- Example - Heisenberg spin chain @@ -91,8 +90,6 @@ coupling we first consider the closed chain with the Hamiltonian with :math:`N=5`, :math:`\epsilon=1.0`, :math:`J^x = 1.3`, :math:`J^y = 0.7`, and :math:`J^z = 1.2`. - - .. code:: ipython3 N = 5 @@ -179,7 +176,7 @@ time steps. PT-TEBD computation (closed spin chain): --> PT-TEBD computation: 100.0% 20 of 20 [########################################] 00:00:01 - Elapsed time: 1.1s + Elapsed time: 1.2s The computation returns a results dictionary which in addition to the @@ -208,7 +205,7 @@ We can use the dynamics results to then compute the evolution of the plt.plot( *dynamics.expectations(sz, real=True), color=f"C{site}", linestyle="solid", - label=f"$$") + label=f"$\\langle s_{site}^z \\rangle$") plt.legend() @@ -216,12 +213,12 @@ We can use the dynamics results to then compute the evolution of the .. parsed-literal:: - + -.. image:: output_23_1.png +.. image:: pt_tebd_files/pt_tebd_22_1.png Yay! We can observe how the excitation travels along the chain. @@ -288,7 +285,7 @@ computation (see Tutorial 02 - Time dependence and PT-TEMPO). Process tensor (PT) computation: --> PT-TEMPO computation: 100.0% 20 of 20 [########################################] 00:00:00 - Elapsed time: 0.6s + Elapsed time: 0.4s To see the effect of the environment clearly we start in a fully mixed @@ -326,8 +323,8 @@ keep them free by setting them to ``None``. PT-TEBD computation (open spin chain): --> PT-TEBD computation: - 100.0% 20 of 20 [########################################] 00:00:04 - Elapsed time: 4.3s + 100.0% 20 of 20 [########################################] 00:00:02 + Elapsed time: 2.9s .. code:: ipython3 @@ -335,7 +332,7 @@ keep them free by setting them to ``None``. for site, dyn in results_open['dynamics'].items(): plt.plot(*dyn.expectations(sz, real=True), color=f"C{site}", linestyle="solid", - label=f"$$") + label=f"$\\langle s_{site}^z \\rangle$") plt.legend() @@ -343,12 +340,12 @@ keep them free by setting them to ``None``. .. parsed-literal:: - + -.. image:: output_35_1.png +.. image:: pt_tebd_files/pt_tebd_34_1.png We can see that the environment starts to hybridize with the first spin diff --git a/docs/pages/tutorials/pt_tebd/output_23_1.png b/docs/pages/tutorials/pt_tebd/output_23_1.png deleted file mode 100644 index e532ed3b..00000000 Binary files a/docs/pages/tutorials/pt_tebd/output_23_1.png and /dev/null differ diff --git a/docs/pages/tutorials/pt_tebd/output_35_1.png b/docs/pages/tutorials/pt_tebd/output_35_1.png deleted file mode 100644 index 111591f7..00000000 Binary files a/docs/pages/tutorials/pt_tebd/output_35_1.png and /dev/null differ diff --git a/docs/pages/tutorials/pt_tebd_files/pt_tebd_22_1.png b/docs/pages/tutorials/pt_tebd_files/pt_tebd_22_1.png new file mode 100644 index 00000000..19c0317b Binary files /dev/null and b/docs/pages/tutorials/pt_tebd_files/pt_tebd_22_1.png differ diff --git a/docs/pages/tutorials/pt_tebd_files/pt_tebd_34_1.png b/docs/pages/tutorials/pt_tebd_files/pt_tebd_34_1.png new file mode 100644 index 00000000..32411b26 Binary files /dev/null and b/docs/pages/tutorials/pt_tebd_files/pt_tebd_34_1.png differ diff --git a/docs/pages/tutorials/pt_tempo/pt_tempo.rst b/docs/pages/tutorials/pt_tempo.rst similarity index 96% rename from docs/pages/tutorials/pt_tempo/pt_tempo.rst rename to docs/pages/tutorials/pt_tempo.rst index 3b2d0747..db3547c6 100644 --- a/docs/pages/tutorials/pt_tempo/pt_tempo.rst +++ b/docs/pages/tutorials/pt_tempo.rst @@ -168,12 +168,12 @@ detuning, we can check the shape of the laser pulse. .. parsed-literal:: - + -.. image:: output_16_1.png +.. image:: pt_tempo_files/pt_tempo_16_1.png 3. Create time dependent system object @@ -216,7 +216,7 @@ parameters): --> TEMPO computation: 100.0% 50 of 50 [########################################] 00:00:02 - Elapsed time: 2.3s + Elapsed time: 2.6s and extract the expectation values @@ -230,7 +230,7 @@ for plotting: s_xy = np.sqrt(s_x**2 + s_y**2) plt.plot(t, s_xy, label=r'$\Delta = 0.0$') plt.xlabel(r'$t\,\Omega$') - plt.ylabel(r'$<\sigma_xy>$') + plt.ylabel(r'$<\sigma_{xy}>$') plt.ylim((0.0,1.0)) plt.legend(loc=4) @@ -239,12 +239,12 @@ for plotting: .. parsed-literal:: - + -.. image:: output_23_1.png +.. image:: pt_tempo_files/pt_tempo_23_1.png 5. Using PT-TEMPO to explore many different laser pulses @@ -331,7 +331,7 @@ and plot :math:`\langle\sigma_{xy}\rangle(t)` for each: for t, s_xy, delta in zip(t_list, s_xy_list, deltas): plt.plot(t, s_xy, label=r"$\Delta = $"+f"{delta:0.1f}") plt.xlabel(r'$t/$ps') - plt.ylabel(r'$<\sigma_xy>$') + plt.ylabel(r'$<\sigma_{xy}>$') plt.ylim((0.0,1.0)) plt.legend() @@ -340,11 +340,11 @@ and plot :math:`\langle\sigma_{xy}\rangle(t)` for each: .. parsed-literal:: - + -.. image:: output_31_1.png +.. image:: pt_tempo_files/pt_tempo_31_1.png diff --git a/docs/pages/tutorials/pt_tempo/output_16_1.png b/docs/pages/tutorials/pt_tempo/output_16_1.png deleted file mode 100644 index c0418b9d..00000000 Binary files a/docs/pages/tutorials/pt_tempo/output_16_1.png and /dev/null differ diff --git a/docs/pages/tutorials/pt_tempo/output_23_1.png b/docs/pages/tutorials/pt_tempo/output_23_1.png deleted file mode 100644 index 3406ad7a..00000000 Binary files a/docs/pages/tutorials/pt_tempo/output_23_1.png and /dev/null differ diff --git a/docs/pages/tutorials/pt_tempo/output_31_1.png b/docs/pages/tutorials/pt_tempo/output_31_1.png deleted file mode 100644 index 535a10f0..00000000 Binary files a/docs/pages/tutorials/pt_tempo/output_31_1.png and /dev/null differ diff --git a/docs/pages/tutorials/pt_tempo_files/pt_tempo_16_1.png b/docs/pages/tutorials/pt_tempo_files/pt_tempo_16_1.png new file mode 100644 index 00000000..318dfbf0 Binary files /dev/null and b/docs/pages/tutorials/pt_tempo_files/pt_tempo_16_1.png differ diff --git a/docs/pages/tutorials/pt_tempo_files/pt_tempo_23_1.png b/docs/pages/tutorials/pt_tempo_files/pt_tempo_23_1.png new file mode 100644 index 00000000..ccfb1355 Binary files /dev/null and b/docs/pages/tutorials/pt_tempo_files/pt_tempo_23_1.png differ diff --git a/docs/pages/tutorials/pt_tempo_files/pt_tempo_31_1.png b/docs/pages/tutorials/pt_tempo_files/pt_tempo_31_1.png new file mode 100644 index 00000000..a5370f5e Binary files /dev/null and b/docs/pages/tutorials/pt_tempo_files/pt_tempo_31_1.png differ diff --git a/docs/pages/tutorials/quickstart/quickstart.rst b/docs/pages/tutorials/quickstart.rst similarity index 89% rename from docs/pages/tutorials/quickstart/quickstart.rst rename to docs/pages/tutorials/quickstart.rst index 3fe1450e..8ffac7de 100644 --- a/docs/pages/tutorials/quickstart/quickstart.rst +++ b/docs/pages/tutorials/quickstart.rst @@ -105,27 +105,27 @@ the job - just to have an idea where we are going: plt.plot(t, s_z, label=r'$\alpha=0.3$') plt.xlabel(r'$t\,\Omega$') - plt.ylabel(r'$$') + plt.ylabel(r'$\langle\sigma_z\rangle$') plt.legend() .. parsed-literal:: --> TEMPO computation: - 100.0% 150 of 150 [########################################] 00:00:13 - Elapsed time: 13.6s + 100.0% 150 of 150 [########################################] 00:00:08 + Elapsed time: 8.5s .. parsed-literal:: - + -.. image:: output_9_2.png +.. image:: quickstart_files/quickstart_9_2.png 1. The model and its parameters @@ -230,7 +230,7 @@ to :math:`t=5\,\Omega^{-1}` .. parsed-literal:: - ../oqupy/tempo.py:833: UserWarning: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually. + /home/pip/documents/saints/phd/tempo/OQuPy/tutorials/../oqupy/tempo.py:850: UserWarning: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually. warnings.warn(GUESS_WARNING_MSG, UserWarning) WARNING: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually. @@ -238,8 +238,8 @@ to :math:`t=5\,\Omega^{-1}` .. parsed-literal:: --> TEMPO computation: - 100.0% 80 of 80 [########################################] 00:00:06 - Elapsed time: 6.8s + 100.0% 80 of 80 [########################################] 00:00:04 + Elapsed time: 4.3s and plot the result: @@ -249,7 +249,7 @@ and plot the result: t_1, z_1 = dynamics_1.expectations(0.5*sigma_z, real=True) plt.plot(t_1, z_1, label=r'$\alpha=0.3$') plt.xlabel(r'$t\,\Omega$') - plt.ylabel(r'$$') + plt.ylabel(r'$\langle\sigma_z\rangle$') plt.legend() @@ -257,12 +257,12 @@ and plot the result: .. parsed-literal:: - + -.. image:: output_24_1.png +.. image:: quickstart_files/quickstart_24_1.png Yay! This looks like the plot in figure 2a [Strathearn2018]. @@ -315,7 +315,7 @@ whether it satisfies the above requirements: .. parsed-literal:: - ../oqupy/tempo.py:833: UserWarning: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually. + /home/pip/documents/saints/phd/tempo/OQuPy/tutorials/../oqupy/tempo.py:850: UserWarning: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually. warnings.warn(GUESS_WARNING_MSG, UserWarning) WARNING: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually. @@ -347,7 +347,7 @@ whether it satisfies the above requirements: -.. image:: output_31_1.png +.. image:: quickstart_files/quickstart_31_1.png In this plot you see the real and imaginary part of the environments @@ -397,7 +397,7 @@ and check again with the helper function: -.. image:: output_36_1.png +.. image:: quickstart_files/quickstart_36_1.png We could feed this object into the ``oqupy.tempo_compute()`` function to @@ -426,15 +426,15 @@ We can start by computing the dynamics up to time .. parsed-literal:: --> TEMPO computation: - 100.0% 50 of 50 [########################################] 00:00:03 - Elapsed time: 3.1s + 100.0% 50 of 50 [########################################] 00:00:01 + Elapsed time: 1.9s .. parsed-literal:: - + @@ -445,7 +445,7 @@ then get and plot the dynamics of expecatation values, dynamics_2 = tempo.get_dynamics() plt.plot(*dynamics_2.expectations(0.5*sigma_z, real=True), label=r'$\alpha=0.3$') plt.xlabel(r'$t\,\Omega$') - plt.ylabel(r'$$') + plt.ylabel(r'$\langle\sigma_z\rangle$') plt.legend() @@ -453,12 +453,12 @@ then get and plot the dynamics of expecatation values, .. parsed-literal:: - + -.. image:: output_42_1.png +.. image:: quickstart_files/quickstart_42_1.png then continue the computation to :math:`15.0\,\Omega^{-1}`, @@ -471,15 +471,15 @@ then continue the computation to :math:`15.0\,\Omega^{-1}`, .. parsed-literal:: --> TEMPO computation: - 100.0% 100 of 100 [########################################] 00:00:13 - Elapsed time: 13.9s + 100.0% 100 of 100 [########################################] 00:00:06 + Elapsed time: 6.1s .. parsed-literal:: - + @@ -490,7 +490,7 @@ and then again get and plot the dynamics of expecatation values. dynamics_2 = tempo.get_dynamics() plt.plot(*dynamics_2.expectations(0.5*sigma_z, real=True), label=r'$\alpha=0.3$') plt.xlabel(r'$t\,\Omega$') - plt.ylabel(r'$$') + plt.ylabel(r'$\langle\sigma_z\rangle$') plt.legend() @@ -498,12 +498,12 @@ and then again get and plot the dynamics of expecatation values. .. parsed-literal:: - + -.. image:: output_46_1.png +.. image:: quickstart_files/quickstart_46_1.png Finally, we note: to validate the accuracy the result **it vital to @@ -513,5 +513,3 @@ simulation with slightly “better” parameters (smaller ``dt``, larger ``dkmax``, smaller ``epsrel``) and to consider the difference of the result as an estimate of the upper bound of the accuracy of the simulation. - --------------- diff --git a/docs/pages/tutorials/quickstart/output_24_1.png b/docs/pages/tutorials/quickstart/output_24_1.png deleted file mode 100644 index f1f42127..00000000 Binary files a/docs/pages/tutorials/quickstart/output_24_1.png and /dev/null differ diff --git a/docs/pages/tutorials/quickstart/output_31_1.png b/docs/pages/tutorials/quickstart/output_31_1.png deleted file mode 100644 index 1be1353b..00000000 Binary files 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b/docs/pages/tutorials/quickstart_files/quickstart_42_1.png new file mode 100644 index 00000000..6fc65bfe Binary files /dev/null and b/docs/pages/tutorials/quickstart_files/quickstart_42_1.png differ diff --git a/docs/pages/tutorials/quickstart_files/quickstart_46_1.png b/docs/pages/tutorials/quickstart_files/quickstart_46_1.png new file mode 100644 index 00000000..8bc50b00 Binary files /dev/null and b/docs/pages/tutorials/quickstart_files/quickstart_46_1.png differ diff --git a/docs/pages/tutorials/quickstart_files/quickstart_9_2.png b/docs/pages/tutorials/quickstart_files/quickstart_9_2.png new file mode 100644 index 00000000..1c5b4c1d Binary files /dev/null and b/docs/pages/tutorials/quickstart_files/quickstart_9_2.png differ diff --git a/tutorials/mf_tempo.ipynb b/tutorials/mf_tempo.ipynb index 77d9c21b..990ca80b 100644 --- a/tutorials/mf_tempo.ipynb +++ b/tutorials/mf_tempo.ipynb @@ -51,7 +51,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Check the current OQuPy version; mean-field functionality was introduced in version **0.3.0**." + "Check the current OQuPy version; mean-field functionality was introduced in version **0.3.0** and revised in its current format in **0.4.0.**" ] }, { @@ -62,7 +62,7 @@ { "data": { "text/plain": [ - "'0.3.1'" + "'0.4.0'" ] }, "execution_count": 2, @@ -398,7 +398,7 @@ "text": [ "--> TEMPO-with-field computation:\n", "100.0% 93 of 93 [########################################] 00:00:13\n", - "Elapsed time: 13.8s\n" + "Elapsed time: 13.3s\n" ] } ], @@ -447,7 +447,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 15, @@ -505,8 +505,8 @@ "output_type": "stream", "text": [ "--> PT-TEMPO computation:\n", - "100.0% 93 of 93 [########################################] 00:00:03\n", - "Elapsed time: 3.3s\n" + "100.0% 93 of 93 [########################################] 00:00:02\n", + "Elapsed time: 2.8s\n" ] } ], @@ -557,7 +557,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -565,7 +565,17 @@ "output_type": "stream", "text": [ "--> Compute dynamics with field:\n", - " 87.1% 81 of 93 [##################################------] 00:00:08" + "100.0% 93 of 93 [########################################] 00:00:09\n", + "Elapsed time: 9.6s\n", + "--> Compute dynamics with field:\n", + "100.0% 93 of 93 [########################################] 00:00:09\n", + "Elapsed time: 9.9s\n", + "--> Compute dynamics with field:\n", + "100.0% 93 of 93 [########################################] 00:00:09\n", + "Elapsed time: 9.9s\n", + "--> Compute dynamics with field:\n", + "100.0% 93 of 93 [########################################] 00:00:08\n", + "Elapsed time: 8.7s\n" ] } ], @@ -595,11 +605,34 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": { "scrolled": true }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "for i,n in enumerate(n_list):\n", " ratio = pump_ratios[i]\n", @@ -623,13 +656,6 @@ "- `oqupy.MeanFieldTempo.compute` or `.compute_dynamics_with_field` (process tensor) may be used to calculate `MeanFieldDynamics`\n", "- `MeanFieldDynamics` comprises one of more system `Dynamics` and a set of field values `fields`." ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { @@ -651,7 +677,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.6" + "version": "3.10.8" }, "widgets": { "application/vnd.jupyter.widget-state+json": { diff --git a/tutorials/pt_tebd.ipynb b/tutorials/pt_tebd.ipynb index 5d97f8bd..e44c4e6a 100644 --- a/tutorials/pt_tebd.ipynb +++ b/tutorials/pt_tebd.ipynb @@ -64,7 +64,7 @@ { "data": { "text/plain": [ - "'0.3.0'" + "'0.4.0'" ] }, "execution_count": 2, @@ -94,7 +94,7 @@ "sz = 0.5 * oqupy.operators.sigma(\"z\")\n", "up_dm = oqupy.operators.spin_dm(\"z+\")\n", "down_dm = oqupy.operators.spin_dm(\"z-\")\n", - "mixed_dm = oqupy.operators.spin_dm(\"mixed\")\n" + "mixed_dm = oqupy.operators.spin_dm(\"mixed\")" ] }, { @@ -120,11 +120,6 @@ "with $N=5$, $\\epsilon=1.0$, $J^x = 1.3$, $J^y = 0.7$, and $J^z = 1.2$." ] }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [] - }, { "cell_type": "code", "execution_count": 4, @@ -236,7 +231,7 @@ "PT-TEBD computation (closed spin chain):\n", "--> PT-TEBD computation:\n", "100.0% 20 of 20 [########################################] 00:00:01\n", - "Elapsed time: 1.1s\n" + "Elapsed time: 1.2s\n" ] } ], @@ -287,7 +282,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 10, @@ -296,7 +291,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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15gbKq9XC6Irij5oi8DcCXYQQHYQQJmAysLjhBkKIK4DX0cK+sAn2qfiZKzvFMPuedA4WVXL3mxuw1bh8XZKiKKe57MCXUrqBHwNfAruBD6SUWUKIPwghxtVt9jcgBPhQCLFNCLH4LE+nBLCru8by+l0D2ZNfwb1vbcBeq0JfURpqFYuYSymXSSm7Sik7SSmfr/vZ76SUi+tuXyeljJNS9q+7jDv3MyqBamT3drxy5wAyc23c9/ZGqhyN/+dWlLZGLWKutEo39Irn31OuYGt2OdPnbKTG6fF1SYric/6wiLmaPE1pNp9uy+XnC7ZxZacY3rg3HbNR7+uSlDao4QRj+X/+M47dTbumbVCP7sT/5jfn3W748OEsXboUvV5PRkYG27Ztw2QyUV5eTkREBD179uTGG2/EarXyxBNPEBUVxd69e3nqqafOupD5xU6ephZAUZrN+P5JuDySXy7czsPvbub1uwcSZFChr7Q9/rKIuQp8pVlNHJiM2+Pl6Y938ti8rbw6dQAmg+pJVHzjQlrizaHhIuYhISFkZmayZMkSZsyYwQMPPFC/zOHpmnoRc/XOU5rd5MGp/HF8L1bsLuDx+Vtxe7y+LklRWtyJRcz379+P1Wpl8uTJ3HzzzfWLmO/evZuHH36YiRMn8tprrwGoRcyVwHT30DT+7+aefJ6Zz88/2I7H65/HjhSluZxvEfMePXowc+ZMPvjgA77//ntALWKuBLDpwzvg8nj5y+d7MOoFf5/YD51O+LosRWkRF7KI+eLFi3nttde4++671SLmSuB7+JpOPHl9Vz7ekstvPtmJV7X0lTbkXIuYA4wbN47PP/+cefPmNcsi5qqFr7S4n1zbBZfHy79XHcCgF/xxfG+EUC19pW1bs2YNH3/8MQ6Hg5tuuqlZ9qECX/GJn1/fFadHMvPrgwD8YVxv1b2jtGkjRoxgxIgRzboPFfiKTwgheGp0NwBmfn0Qr4Q/jVehryjNSQW+4jMnQl+vg1dWH0RKyfO39lGhryjNRAW+4lNCCH5xQzd0QvCfVQfweuGFCSr0FaU5qMBXfE4IwRPXd0UIwb9X7scjJS/+qC96FfqK0qRU4Ct+4UTo6wT8c8V+pIS/TlShryhNSQW+4ld+dl1XdELw8lf7kFLyt0n9VOgrShNRga/4nZ9e2wWdgL8v34dHSl6a1A+DXp0jqCiXSwW+4pd+PKoLQgj+9uVepISXb1ehryiXS72DFL/12MjOPDW6O4u3H+dnC7apWTaVgNcq1rRVlObyyIhO/Oam7izdkcfj87fhUqGvBCi1pq2iXIAZV3fit2N78NnOPH76/lYV+kpA8oc1bVXgKwHhgas61s+n/+P3tuB0q9BXAsuyZcsYO3YsdrudF198kbVr17Jjxw6WLl0KwE033URUVBQvvPACpaWlwMk59JuKOmirBIzpwzugE/Dckl089t4WXrlTLZeoXJxvP9hHcXZlkz5nTEoIV93e9Zzb+MuaturdogSU+4Z14LlxvfhqVwGPzttMrcvj65IU5bwarmlrsVjIzMxk2LBhzJgxg1dfffWsv9fUa9qqFr4ScO69Mg2dTvB/izKZ9vYGZt+TTqjZ6OuylABwvpZ4czqxpm2/fv3o0qULkydPZteuXfVr2gJUVVVxzTXX8Oyzz3LzzTerNW0VBeDuIe35xx392HSkjMmz1lFkd/i6JEU5p/OtaQvw4osvcvvtt9ffV2vaKkqd265IJtJi4pF3tzBx5g/MvT+D1GiLr8tSlEadb03br776ip49e9a3+NWatopymhHd2vHegxnYalxMeO0Hso7bfF2SopzVuda0XbNmDevWreO9995j9uzZhIeHqzVtFeV0V6RGsvDhodzz5gYmv76OWfekM7RTtK/LUpSL8vzzzwPwzjvvEBMTg07X9O1x1cJXWoXO7UJZ+MiVxIWbufftDXyRmefrkhTlkkybNo2bb765WZ5bBb7SaiRGBPPhQ0PplRjGo/O28P6GY74uSVH8SpMEvhBitBBirxDigBDi6UYeDxJCLKh7fL0QIq0p9qsop4u0mpj3QAZXd43l1x/v5D8r9yOl9HVZiuIXLjvwhRB64BVgDNATmCKE6HnaZtOBMillZ+AfwIuXu19FORuLycDse9KZcEUSL321j2cXZ+H1qtBXlKZo4Q8GDkgpD0kpncB84PSBo+OBOXW3FwLXCiHUMkZKszHqdfx9Uj8evKoDc9Ye5fEF29T8O21Ya/yWdyl/U1MEfhKQ3eB+Tt3PGt1GSukGbMAZwyiEEDOEEJuEEJuKioqaoDSlLdPpBM+M7cmvx3RnyfbjTJ+zkUpH43ORK62X2WympKSkVYW+lJKSkhLMZvNF/Z5fDcuUUs4CZgGkp6e3nn8dxaceuqYTUVYTT3+8kztnr+PtaYOIDgnydVlKC0lOTiYnJ4fW1og0m80kJydf1O80ReDnAikN7ifX/ayxbXKEEAYgHGi6Wf0V5TwmpacQaTHx2HtbmDRzLXPuH0xKlDorty0wGo1NOgFZIGuKLp2NQBchRAchhAmYDCw+bZvFwL11tycCq2Rr+n6lBITresYx74EMiisdTJz5A5m56qxcpW257MCv65P/MfAlsBv4QEqZJYT4gxBiXN1mbwLRQogDwBPAGUM3FaUlpKdF8eHDV6ITgokzf2DR1tO/jDYjrxcqi8CeD141rbPS8oS/NrTT09Plpk2bfF2G0koVVzp4bN4W1h8u5f5hHfj1Td0x6i+x/SMl1JSBPa/ukl93XdDgfj5U5oO37qCxzgChCdolLBHCkuquE07eDokHg6np/milTRBCbJZSpjf2mF8dtFWUlhITEsS7D2Tw52W7eev7w2Qdt/HK1AHEnOtgrtcLx7fA3mVQcqBBsOeDx3nm9uaIulCPh5iu2nVoAgih/V7FcajIhYJM2L8cXNVnPoe1XYMPhASI7ACdr4XY7trzKMpFUC18pc37ZGsOT3+0kyiridfvHkjf5IiTD7qdcPQ72L1UC3p7Hgg9RHXUAvhEoJ9+HRIHxuALL0JKqLXVfQgcB/vxkx8IFQ0+HGrLte3DU6HrDdB1NKQNv7h9Ka3auVr4KvAVBcjMtfHQ3M0UVTr4y80dmRC2Rwv5fV+CwwaGYK1l3eMW6HIDWKJ8U6gtV/s2sO9LOLQG3DVabR1HaB8AXW6E8NNPg1HaEhX4inI+VSVU7lzC3jXv06tmM2bhQgZHIrrdBN3HQseRYPKzYZyuGjjynRb++7+E8rrJ4uL6nGz9Jw0End63dSotSgW+ojSm/Bjs+UxryR/7AaQXGZ7MJvOVvJTdFW/yEP579yDahV7c2Yw+ISUU7akL/+VwbB1ID1iiofN10PVG6HQtBEf4ulKlmanAV5QTpIQ9S+Hbl7UDsADtemqt+O43Q0I/EILF24/z1MIdhJoNvHbXQAa2j/Rt3RerpgwOrNTCf/9XUFOqjQzqeSsMfVRr+Sutkgp8RZFSC77Vf4K87RDdGQbco4V8dKdGf2V3XgUPzd1Mnq2G58b15s6M1BYuuol4PZCzCbI+ga3vgtMOKRkw5FHt79erwXqtiQp8pW079DWs+hPkbICI9jDi19Bn0gUFXXm1k8fnb+PrfUVMGZzCs+N6EWQI4D7x2grYNg/Wz4SyI9pon4wZcMXdqrunlVCBr7RNx9ZpQX/kW20c+9W/hCvuAr3xop7G45W8/NVeXll9kP4pEcy8ayDx4QHQr38uXg/s/RzWvaYNOzVatdcm46GzfuNRAoMKfKVtOb4VVj0PB77STly66kkYOA2MlxfSX2Tm8eQH2wk2Gfj35P5c2Tmmaer1tbztWvDvXKidCdx1tNbPn3aVOrkrAKnAV9qGgixY/WftoGxwJAz7GQx+EEzWJtvF/gI7D83dzKHiKu4aksrTY3oQEtRK+sDtBbDpTdj4JlQXQ1xvGPII9J542R+WSstRga+0bsUHYM0LkPkRBIXC0B9rQWUOa5bd1Tg9vLR8L29+f5jE8GBemNCHq7vGNsu+fMJVCzs/1Fr9hVlgjYX06TB4BljPWLdI8TMq8JXWqewofP1X2P4eGMyQ8TBc+ZMWOwt289EyfrVwOweLqrg9PZlnxvYkPPjijg/4NSnh8Nda8O/7AkyhcOWPYehj2ger4pdU4Cuti8cF374E3/wdhA4GPQDDfw4hLd/KrnV5+NfK/cz65hAxISb+fFsfru0R1+J1NLvCPdqQ1t1LtJO5rvoFpN+vunr8kAp8pfUo2gsfz4C8bdrQyuv/oM0m6WM7csr51cId7Mm3c9sVSfzu5p5EWlvh1Ma5m2HlH7R5fMKSYcTT0G+KGsvvR1TgK4HP64X1r8GK57SDsLf8E3qO93VVp3C6vfx39QFeXX2ACIuJP93ai9G9E3xdVvM49DWsfE77AIjuAqN+q/17qFE9PqcCXwlsZUdh0aPaePGuY+CWf0Go/3ab7DpewS8XbifreAVj+yTw3Phe555nP1BJqc1FtOqP2jw+Cf3h2t9Bp1Eq+H1IBb4SmKTUpgL44tfa/TF/gf5TAyJMXB4vs745xL9W7McapOfZcb0Y1y8REQC1XzSvB3Z8oA2JtR3Txu9f+3tIGeTrytokFfhK4LEXwJKfaqND0q6C8a9AZHtfV3XR9hXY+eXCHWzPLuf6nnE8f2tv2oW10gOdbgdsngPf/A2qCqHbTTDq/yCup68ra1NU4CuBJWsRLP25tuTftb/XhlvqLnG9WT/g8Ure/O4QLy3fR5BBx69v6sGkgckYLnUNXX/nrNKGcn7/b3BUQN/bYeRvIDKt2XYppaTGXUOVq4pKV2X9tdPjJCIogihzFFHmKIINwa3zW1YDKvCVwFBTBst+BTs/gMQr4LbXIbabr6tqMoeKKnn6o51sOFJKhxgrj1/bhVv6JaLXtdIAqi6F7/8J61/Xun0Gz4Crf3FB50m4vC4O2w6zp3QPOfackyHurDwl1Bve9krveZ/XrDcTaY4kyhxVfx1tjj7lZw3vmw2B921MBb7i/w6shE9/rHUFXP1Lbf6bi5zkLBBIKflqVwEvf7WPPfl2urQL4WfXdWVM73h0rTX4K/Jg9fPaLJ1BodoY/sEz6sfwV7uq2Ve2jz2le9hTuofdpbs5UHYAp/fkwvAWg4UQYwhWk1W7Nja4Np16v+Fto96IzWGjtLaUstoySmtLz7zUlJ6yr4bah7Wnd0xv+sT0oXdMb7pHdSdI798H4FXgK/7LWQXL/0+bwyWmG0x4XWvdt3Jer+TzzHz+sWIfBwor6ZEQxs+v68L1PeNab5dDQRaly3/DnuPr2B3Wjr2JvdjtreJoxVEkWg5FBEXQPap7/aVHVA9Sw1Ix6JpvnL+Ukmp39SkfAGWOMgqqC9hTsoedxTspqikCwCAMdInsUv8B0CemDx3CO6D3o2UkVeAr/ilnM3w0XZuXfehj2lhuY7Cvq2pRHq9kyfbj/HPFPo6UVNM3OZyfX9+VEV1jAz74pZTsL9/Pmuw1bC/azp6SPRTWFNY/nuhy010XTPeON9K94w30iO5BnMU/P/AKqgrILM5kZ/FOMksyySrOotJVCWjfPnrF9Dr5TSC6N/HWeJ/9HSrwFf+zdR4s/RmExMNtr0HacF9X5FNuj5ePt+Tyr5X7yS2vYWD7SJ68vmvATcHs9rrZWriV1dmrWX1sNTmVOQB0juh8Squ9W0RXwvd+ro3hr8jVzq+4/rmAOWbjlV6OVBzRPgSKdpJZnMnesr24vC4Aos3RZCRkMCp1FMOThmM1Nt2MreejAl/xHx43LP+tdtZsh6th0pwWm+wsEDjdXj7YlM1/Vx0gv6KWIR2jePKGbgxK89/XqNpVzdrja1mVvYpvcr6h3FGOUWdkSMIQRqaOZETyCGItZ5nnyFWjjej57h9a996Ae7QVyfz4xLqzcXqc7Cvbx87inewo2sH3ud9T5ijDqDMyOGEwo1JGMTJl5NlfizpSSrw2G/qIiEuqQwW+4h+qS+HDe+HwN9p6qtf/Uc3Bcha1Lg/vbzjGK6sPUlzp4KouMTx5Qzf6p0T4ujQASmpK+Drna1YdW8W6vHU4PA7CTGFcnXw1I1NGMixp2MW1aquKtZlPN70J+iAY9rg2M2cTrmXQ0jxeD9uKtrH62GpWZa8i254NQJ+YPoxK1cK/Y3jH+q4f6fViX7GC4pkz0YeH0/7tty9pvyrwFd/Lz4T5d4I9X5sHp/+dvq4oINQ4Pcxdd4TX1hykrNrFiG6xTB6Uyqju7TAZWnYc/xHbEVZlr2L1sdVsL9qORJJoTWRk6khGpoxkQNwAjLrLHFlVchBWPAu7F2vdfSN/oy296EcHRS+FlJKD5QdZnb2aVcdWkVmSCUBqaCojk67h+kNWQt77Euf+/RjbpxLz0MOE33brJR0HUIGv+FbWIlj0CJjD4Y55kDzQ1xUFnEqHm3e+P8w7PxyluNJBhMXIuH6JTBiQTL/k8GY7QFheW87ig4v55MAnHCg/AECPqB6MTB3JqJRRdI3s2jz7PrZe6/rL2QCx3bVunh7jAvoEvIYKqgr4+ugqchd9QJ/P9pJUIsmL1XP41oF0nHA3Q1KGEWy4tAEMKvAV3/B6tfHX3/4dkgfBHe9CaLyvqwpobo+Xbw8U8/GWXJZn5eNwe+kYa+VHA5K59YokkiIuf5STlJIthVv4cN+HfHXkK5xeJ31j+zK2w1hGpowkIaSFZgCVEnZ9qv0fKt4HcX20Fn+3MQExn9LZSJcL25KlFL8+E9fRYxi7dOb4pCv5LLWUb49/j91lp3NEZz4Z/8klPX+zBb4QIgpYAKQBR4DbpZRlp23TH3gNCAM8wPNSygXne24V+AGu1qbNW7/vC7jibhj7Ehj8+4SVQFNR6+LznXl8tCWXDYdLEQKGdoxmwoBkRveOv+i1dm0OG4sPLmbhvoUcsh0ixBjCzR1vZlK3SXSN7NpMf8UF8Hq0Bda//guUHoLEATDyGeh8bUAFv3Q6Kf9kESWzZuHKzSWoZw9iHnmE0GuvRdR9c3F5XGwq2ESVq4rr2l93SftpzsD/K1AqpfyLEOJpIFJK+dRp23QFpJRyvxAiEdgM9JBSlp/ruVXgB7DiAzB/itYfO/ov2kLiAfTGDETHSqr5ZGsuH2/N4WhJNcFGPaN7xzNhQBJXdoo56/QNUkq2Fm7lw30fsvzIcq01H9OXiV0ncmPajViMlhb+S87B44bt72sHd23HICVDa/F3uMav/395HQ7KFy6k5I03ceflYe7bl5hHHiZkxIhm6Q5rzsDfC4yQUuYJIRKANVLKcw6kFUJsByZKKfefazsV+AFq/1ewcLo2+mbSHOhwla8ralOklGw5VsbCzbks3XEce62b+DAzt16RxG1XJNE1LgQhBDaHjSUHl7Bw30IO2g4SYgxhbMexTOo6iW5Rfj4W3u2ErXO1JS7tx6H9cBj1DLS/0teVncJbU0P5Bx9oQV9URPAVVxDz6KNYhw9r1pOymjPwy6WUEXW3BVB24v5Zth8MzAF6SXnumY5U4AcYKbWJslY8B3G9YfK8gJzOuDWpdXlYubuQj7fksGZfER6vl+jo40TEbaGEjXikk97Rvbm92+3+15q/EK5a2DJHW9+4sgA6jtS6enw8D7+3tpay996n5M038ZSUYBk8mJhHH8GSkXHWoPd6JWXVTgrtDgrtDgw6wbBLPOnusgJfCLECaOxI2zPAnIYBL4Qok1JGnuV5EoA1wL1SynVn2WYGMAMgNTV14NGjR89Zm+InnNWw+MeQ+RH0uk2buz6Ax0+3Nk6Pk/d3fcI7mXMpdh4FbxBO2xW4ygYTLFMY0D6S9PZRDEqLpH9qBBZTgJ0b4azWxu9/9w+oLoEuN2hdPS08J5N0uyn/5BOK//sK7oICrFcOJfKhh6nu0ZfCCgeF9lot0E+5rV0XVzpweU5mcd/kcBb/+NLOPvd5l44QIgwt7P8spVx4Ic+tWvgBovwYzJ8K+Tvh2v+D4U/4dX9qW1LhrODDvR8yb/c8imqK6BbZjSndpzCmwxjKqgSbjpSy6UgZG4+UsrfAjpRg0Al6JYUzqH0k6WlRpKdFBs7yjI5K2DALfvi3NtV2t7Ew8tcQ36fJd+X1SkqrneTbaimsqKF21UpiF7xNSGEuxxM78emgW/khNI2SKgeNRWyU1US70CBiQ4NoF2qmXVgQ7RrcTgg3kxx5ad+4mjPw/waUNDhoGyWl/NVp25iAz4ElUsp/Xuhzq8APALlb4L3btZWOfvQGdL3R1xUpQH5VPu/uepeF+xdS5apiaMJQpvWextCEoWftUrDVuNhyrIxNR0rZeKSMbdnlON1ar2vHGCvpaZF0bhdCUoSFxAgzSZHBxFiD/HNK59oKbbqGta+Aw6ZN4THoAW0FrvNMue3yeCmrclJS5aS4UmuN51fUUlhRS0GD24V2B26vpH/RfqZlLaNbeTZHQ+P4eMA4cnum0y7MTFyYWQvx065jQoKa9aS55gz8aOADIBU4ijYss1QIkQ48LKV8QAhxF/A2kNXgV6dJKbed67lV4Pu5vV/AwvvAEgN3LQyYSa9as/1l+3kn6x2WHVqGRHJD2g3c1+s+ekT3uOjncrg9ZOZW1H8AbD5aSlm165RtTHodiRFmEiOCSYoI1q4jtdtJEcHEh5sxG314hmxNGd6NbyE3vYW+IgdncByH025nZ9x4sl3hlFQ5KKnUwr2k0kFJlZPy0/7GE8LMBuLqQjwuzExXWw79vphHeNZWZGwcloceIfH2CZhMvl/DQZ14pTStjW/Asl9CfF+484OAnOiqtZBSsqlgE29nvs23ud8SbAhmQpcJ3N3zbpJCkpp0XxW1LnLLajheXkNueQ25ZXXX5drPCu1ndl/EhgaRGBFMpMWIUa/DZNARpNfV3zYZTt4OMugw6gUmvQ6jQYep7uegTTFR4/JQ7fRQ46y7drmpdp782cnH3fU/q3K6QXoZqdvKPfqvuEa/A5fU86V3EIuMYzhi7U90iNbqjg4xEWU1afet2u0TAR9s0j64HIcPU/Svf2P/4gv0ERFEP/wQkVOmoAvyn24vFfhK0/B6YeWz8P2/oMuNMPEtCArxdVVtksfrYeWxlbyd+TaZJZlEmaO4s/ud3NHtDiLMET6pyen2km+rJae8muPltad8OFTUunC6vTg9XpxuL676a1n/8wulE2AxGQg26bGY9AQb665NeoKNBiymk/etJgPRIVqIR1tNxHtySdj3HsFZ8xG15RDbAwZNh753gDnsrPt0FRRQ/MqrlH/0ESIoiOhp04i6/z70If73/18FvnL53A5tPpzMjyD9fhjzNzXTpQ/Uumv59MCnzNk1h2x7Nqmhqdzb617GdRoXkOuvniCl1ML/tA8Ep8eLlNQHe7BJT5BBd/nj2J3VkPUxbJgNedvAFAL9JkP6dIjrWb+Zx2ajZPZsSue+i/R6ibzjDmIefghDjP+uU6ACX7k81aWw4C44+j1c95w2da0aidOi7E478/fM593d71JaW0qfmD7c1/s+RqWM8qvl9QKOlNrgg42zIfNj8Dig/TC8fe+hdGMZJW+9g9duJ3zcLcT85CeYkpN9XfF5qcBXLl3ZEZg3Sbu+9TXoM9HXFbUp5bXlvLv7Xd7b/R52l53hScOZ3ns6A+MG+uVSgAGtqgS5aQ7l896keIMLd62ekB6xxM64C/OoKdoC7AHgXIGvvpMrZ5e7Bd67Q2v13L0I0ob5uqI2o7immP/t+h8L9iyg2l3NdanX8WDfB+kZ3fP8v6xcNCkl9m83UvSP5TiPegnu3pmkK41Y3Jtg/S9h428gdQh0vg66XA/tegbkt1wV+ErjGg67nLZUDbtsIflV+byT9Q4L9y3E5XUxOm00D/Z5kM6RnX1dWqtV9cMPFL70MrVZWQR16Uzyq68QMnKk9g3K7YTs9XBghXZZ8XvtEpqozdbZ+TroOAKCI3z9Z1wQ1aWjnGnjm7DsF2rYZQvKtmfzVuZbLDqwCCTc0ukWpveZTvswNR9Rc6nJzKLo5Zeo+mEthsQEYn/yU8LH3YLQn+OYSMVxOLASDnwFB9doJ3YJPaQM1sK/83Xa+8aHC7WoPnzlwni9sPI5bRI0NeyyRRy2HeaNnW/w2aHP0AkdE7pM4P7e95MYkujr0lot55EjFP7rX9g/v8yx9B435Gysa/1/BXnbtZ9b22mt/8QBENUBIjtARCoYTE3/xzRCBb5yfmrYZYvaW7qXN3a+wZdHviRIH8SkbpOY1msa7SztfF1aq+UqKKT41VcpX7iwbiz9vUTdf3/TjaWvLKxr/a+Ag6ugpvTkY0IHYckQlaZ9AJz4IDhxfY5zAC6WOmirnFtNmTYB2tHv4bpnYdjPAvKAVCDIKs7i9R2vszp7NVajlel9pnN3z7uJMkf5urRWy1NRQcnsNyidOxfpdmtj6R99pOnH0oe0g/5TtIuU2gdA2WEoPXzq9Z7PoLr41N+1RJ/6ARDfG3qOb9r6UIGvlB2tG3Z5GH70php22Uw25W9i9s7Z/HD8B8JMYTza/1Hu7H4n4UHhvi6t1fLW1lI2bx7Fs2bjtdkIGzuW2Md/iik1tfl3LoR27Cs0Thvdc7raCm2o8+kfCNnrtW/ZKRkq8JUmlru5btilE+7+BNIubf5tpXFSSr4//j2zd8xmS+EWosxR/Hzgz7mj2x1YjWq9gObiramhbMECSt54E09xMdarrqLdEz/H3OPiJ5FrNuYwSOirXU7ndmprQjcDFfht1Z7PtKUIQ2Jh2mdq2GUT8kovq46tYvbO2ewq2UW8NZ5fD/41E7pMCOjpD/ydt6aGsvkLtJWmiouxZGQQ+4+XsQzy7QpYF81g0t6XzfHUzfKsin9bNxO+eBqSBsCU+Vrfo3LZ3F43nx/+nDd3vslB20FSQ1N57srnuKXjLRjPMw+7cum81dUng76kBMvQIcT+8x9Y0hs9btmmqcBvS7weWP5bWPeqthrQj94AU4CtY+qHnB4nnx78lLd2vkVOZQ6dIzrz4lUvckPaDRh06i3WXLzV1ZS9P18L+tJSrFcOJeaxx7AMHOjr0vyW+t/YVjir4eMHYc9SyHgEbnwe1KRbl6XGXcPCfQt5J+sdCqsL6R3dm18O+iUjUkagE7478aa104L+fUrefKsu6K8k5sePYRkwwNel+T0V+G1BZRG8f4c2N87ov8CQR3xdUUCzO+0s2LuAubvmUlpbSnpcOn8c9sdzLiGoXD5vVdXJoC8rwzpsmNaiH9Cyi5UHMhX4rV3RPpg3URsTfMe70ONmX1cUsPKr8nlv93t8uO9DKl2VDEsaxow+MxgQp1qWzclbVUXpe+9R+tbbWtAPH07MY49iuUIF/cVSgd+aHfke5t+pLdw87TNIVn2bl2Jv6V7mZM3h88Of48XLDe1vYFrvafSK7uXr0lo1d3ExZQsWUDb3XTzl5VivuorYxx4luH9/X5fWrKRX4qh2Yw5p+gP9KvBbqx0fwqePQkR7bZHxyDRfVxRQpJSszVvLnKw5/HD8B4INwUzuPpmpPaaSHOr/i2AEsprMLMrmzqVi2TKky0XINdcQ8+gjBPfr5+vSmoWz1k3hUTv5B23kH9Iu0Ukh3PZk039zVIHf2kgJ374Eq/4I7YfDHXPBok7bv1Auj4svjnzBO1nvsK9sHzHBMTw+4HEmdZ2kzoptRtLlwv7VV5TOfZearVvRWSxE3HEHkVPvJKhDB1+X12SklNhLa7VgP1hB/iEbxTmVSK82p1lkgpVOV8SS2DWyWfavAr818bjgsydgy/+gzyQY/woYLnIGwDbK7rTz0b6PmLt7LoXVhXQK78QfrvwDYzuOxaRvmVkO2yJ3aSnlH3xI2fvv4y4owJiaStxvfk34bbehDw2MFabOxeP2UpTdoPV+0EaVzQmAIUhPXFoYA0e3J75jOHEdwjBbm/d8DRX4rUVtBXx4rzZL39W/hJHPqAnQLkB+VT7v7nqXhfsXUuWqIiM+g2eHPsvwpOFqxE0zqt29m9K571KxdCnS6cQ6bBjxzz1LyNVXI3w4l/zlkF6JraiGomN2Co/ZKThso/CIHY/bC0BotJnErpEkdAonvmM40UlWdPqW/VtV4LcGZUe1g7OFu2Hcf2DAPb6uyO/tKd3DO1nv8OXhL5FIbki7gXt73asOxDYj6XZjX7mKsrlzqd60CREcTPiPJhA1dSpBnQNrRS+vV1KeX01Rtp2iY3WXbDuuWg8AOoMgNiWU3iOSSOioBbw1wvfftlXgB7oDK+Gj6driJVM/1BZeUBrl9DhZfnQ5H+z9gK2FW7EYLEzpMYW7etylFhxpRu6yMmwffUTpe+/hPp6HMSmJdk89RcSE29CH+/9xEa/HS1l+NYVHtVAvOmqnOMeO26m13PVGHTHJIXTLiCc2NZTY1FCiEq3oW7j1fiFU4Acqrxe+exlW/Qna9dDG2Ed38nVVfinHnsOH+z5k0YFFlNaWkhqayi/Sf8FtXW4jzNR0C08oJ3kqq6hcvYqKz5ZR+f334HJhGTKE+GeeIWTEiHMvI+hDtVUuSo9XUpJbRenxKoqy7RTnVOJxaeFuCNITmxJCz2GJ9eEeGW9p8a6ZS6UCPxDVVmirU+1ZCr0nwrh/g0lNt9uQx+vh++PfM3/PfL7L/Q4hBCNTRnJ7t9sZkjBETX3QDLy1tVR+/Q0Vy5ZRuWYN0uHAkJBA1D13Ez5uPOZuXX1dYj1nrZvSPC3US3OrKM2rpOR4FdV1B1QBTGY9MSmh9L4midiUUNq1DyW8nQWdLnCP7ajADzSFe2DBVG2xhNF/gYyH1cHZBkpqSvjkwCd8uPdDjlcdJyY4hof6PcSPuvyIeGu8r8trdaTTSdXatdg++4zKFSvxVlejj44mYuJEwsbeRHD//j49COt2eSjLr9aC/bgW6qXHq7CX1NZvYzDqiEq0ktojiqjEEKKSrEQnWrFGBLW6A/cq8ANJ1iew6DGtNX/vEkgb5uuK/IKUkq2FW1mwdwHLjy7H7XUzOH4wT6Y/ycjUkRh1amripiQ9Hqo3bqTis2XYly/HY7OhCw8nbOxNhN10E5ZBgxCGlosW6ZVUljsoL6g+eSnUru0ltZxYtlunF0TGW4jvGE7PYYlEJVqJTrISGh0c0K32i6ECPxB43LDyWfjhP5A8GG6fA2HqIGOVq4qlB5cyf+98DpQfINQYyuRuk5nUbRIdwzv6urxWRUpJzbZtVCz7nIovPsdTVIywWAi99lrCbhpDyLBhCFPzna8gpaS2ykV5QU19oNtOBHthTX0fO2j97BHtgmmXFkbXjHiiEqxEJ4YQHhfslwdSW5IKfH9XWQQL74Mj38KgB+HGP2sr4rRRXullY/5Glh5ayvIjy6l2V9MjqgfPXfkco9NGYzGq+f2biis3l6r1G6hev56q9etx5+cjTCZCrrmGsLFjCbnmanTBwU22P69XUlXuoKK4pu5SS0VxDbYiLeQd1e76bXU6QVhsMBFxFlJ6RBERZyGinYWIOAuWcFOr64ppKpcV+EKIKGABkAYcAW6XUpadZdswYBewSEr548vZb5uRswk+uAeqS+DWmdB/iq8r8pn9ZftZemgpnx36jILqAqxGKzek3cCkrpPoE9NHvcGbgKugoD7cq9dvwJWTA4A+MhLL4MGE/vxnhFx7LfqQkEveR22VC3tJLbaiulAvqa0PeHtJLV6PrN9WCAiJNBMWa6ZzehwR7YLrgz00xtzmW+uX4nJb+E8DK6WUfxFCPF13/6mzbPtH4JvL3F/bICVsfgc+/xWExsP05ZDQOieOOpei6iKWHV7G0kNL2VO6B73QMyxpGL9I/wUjUkao9WEvk7u4uD7cq9evx3n0KAC68HAsg9KJuuceLBkZBHXpfEEHXqWU1NhdVJbVYi+txV5SS2WpA3tZbX2gN2ylAwRZDYTHBBOTHEqnK2IJiwkmLDqYsFgzIZFm9AYV6k3pcgN/PDCi7vYcYA2NBL4QYiAQB3wBqIUmz8VVC8uehK3vQufrYMLsNjX5WbWrmpXHVrL00FLW5a3DK730ju7N04OfZnTaaKKDo31dYsByl5Vp4b5hPVXrN+A8eBAAXUgIlvR0IiZPxpoxmKBu3RodJ+9xeaks14LcXuo4NdjLHNhLa0/pSwcwmHSERpkJjTYT3zGcsJhgwmOCCY0xExYTTFCw6lVuSZf7asdJKfPqbuejhfophBA64CXgLuC6cz2ZEGIGMAMgNTX1MksLQOXHYMHdkLcNrv4VjHi6TSxD6PF6WJ+3nqWHlrLi2Apq3DUkWhOZ3ns6N3e6WR2AvUjemhocBw/h2L//lIs7Px8AYbFgGTiQiNtuxZKRgblHD7zoqCp3UFrmoHJLEZVlDirLHFSVacFeWeagusJ5xr4sYSZCosxEJ4WQ1ieakCizFvB1lyCrQXW3+ZHzBr4QYgXQ2ADmZxrekVJKIYRsZLtHgWVSypzz/cNLKWcBswDS09Mbe67Wa/cSWPxTbaHxKfOh2xhfV9SsvNJLVnEWXx75kmWHl1FUU0SoMZSbOtzELZ1u4Yp2V6iTo85Dulw4jx6tD/Tafftw7N+P61g2J8YiCpMJfaeuyPSrIakL7qQuOENiKaxwa0G+pJbKueuoaSTMTWY91kgzIZFBRCeFNAjzIO12pBm9Uf0bBZLzBr6U8qytciFEgRAiQUqZJ4RIAAob2WwocJUQ4lEgBDAJISqllE9fctWtiS0Hlv0K9n4G8X1g0pxWO0WCy+NiQ/4GVh1bxZrsNRTWFGLQGbgq6Spu6XQLVydfTZDe9xNM+RPpdOIqLMJdkI8rPx9Xds7JgD98GLc04DBF4AiOxJPYGXfn8TgHxOEwhVMjzVRXeamtckMlsBfYWwVUYQo2EBIZREhkELEpIfXBHhIZREiEdtukultancv9F10M3Av8pe7609M3kFJOPXFbCDENSFdhj9aS3zBLmwvH64Hr/wBDHtWWI2xF7E473+Z8y+rs1Xyb+y1VriqCDcEMTxrOyJSRXJ18dZtdWMTrdOIuKMCVl6dd5+fjzi/AVZCPKy+fqpIqqis9OIIicQRF1F+cYT1wJF5FbZIFjzyty88DwW4j1pAgwiKCSIjQQtwaoV1C6oLdZFZh3hZd7r/6X4APhBDTgaPA7QBCiHTgYSnlA5f5/K1T3nat+yZvm3ZgduxLrWoJwvyqfNZkr2HVsVVsLNiI2+smyhzF6LTRjEodRUZCRqtryUsp8VZV4Skvx1NWjsdm026Xl+OxleMpt9XfdhaXUlVSTXWNOCXIHUEROCyJOMy9ccSEIGNP7S4ROrDW9ZlHRpgJiQjCGhl06nV4kOpmUc5KSOmfXeXp6ely06ZNvi6jaTkqYc0LsO5VsMTAmL9ArwkBPxeOlJID5QdYdWwVq7NXk1WSBUBaWBojU0cyKmUUfWL6oPfzA9DS5cJTWYnXbsdTYcdbacdTUYHXXonHftr1iUBvcI3bjUdX18USFHFqy9waiyM4ilpTOE7dmSeHGYxCa4FHmQmJMNe1xoNOubaEmhBtZAoA5dIJITZLKRsdDam+17WUfV/CZ0+CLRsGToPrnoXg5lm3siVUOCvYnL+Z9fnr+Tr7a3IqtZN0+sb25fEBjzMqdZRPRtd4nU68NpsWxDYbHlsFHpsNb8Wp9z0VNrwVdjyVdu3abkfW1JzzuT06I67IRJzhCTjD4nBaO1AbEUltpzBqRTA1niAc7jM/1IKCDVgjg4g40QqvC3ZrxMn7QRY1mkVpfirwm5s9XzuBatenENsd7vsC2g/1dVUXrcZdw9bCrWzI28CG/A1klWThlV7MejPp8enc3+d+RiSPINYS22T7lFLitdlwl5TgLinBU1KCu6QUd0kxnpJS3KUleMtteCpOhHjFuUNbCHRhYejDw9GHhaEPC8XQrh26sFBESDi15ggchnBqdBZqpYVqt5Fqh56qakmV3aMd/DyNOdiINTKI8Mggkupb4ycPgFojVH+54j/U/8Tm4vXC5rdgxXPgdsCo38KVjwfMPDgur4vM4kzW5a1jQ94Gthdtx+V1YRAG+sb2ZUbfGWTEZ9A3tu9FL/LtrarCVVCAOz8fV2FhfZB7SorrAr0u3EtLwX1myKLToY+KwhAVhT48HFP71Logj9CCPEILdF14OPqwcERYGA4RTLXLQGWZE3uDseWVpXVjzI864bTezSCLJCRST0iMmfgudQc8o7RW+YmDnwaTf3dTKUpDKvCbQ0EWLHkccjZCh2vg5n/4/VBLj9fD3rK9bMjbwLr8dWwp2EKNuwaBoHtUd+7qcReDEwYzoN2Ac05Q5qms0oYQ5uXXDyV0558YgZKPq6AAb0XFGb8ngoIwREejj4nBGBeHuVdPDFHRGGKi0dddG6Kj0UdHo4+IqD/VX0qJo8qN/ZQAr8We56ByVy2VpRVUlRfh9Z6a5oYgPaGRWtdKdHJIfYBrFzWSRWmd1P/opuSshm/+qk1jbA6H216Hvnf45UFZu9POrpJd7Czeyc6inWwq2ESFUwvijuEdGd9pPBkJGQyKH1Q/bFJKiaekhJqcfThzcnHl5uLKyakbVqiFvLey8ox96aOjMcbHY0xNxTJoEIaEeO1+fDyGdu3QR8egs1oa7cN21rqpLHNgK6ulssCBfU85lWUF9S3zyrLa+rVFT9DpRX1wJ3QJJyRSO2HoxM9Co7Qx5qrPXGlrVOA3heIDsPlt2DYPasqg/1S4/o9g9Y95X5weJ/vK9rGzeCeZxZnsLN7JEdsRZF0fRkpoSv1wyXRrDyJKHDhzcnDtyqYmZy0Vubk4c3Nw5R4/o49cHxWFMSEBY/v2WAZnYEyIxxAXjzE+DkNCgtZHfpZ50t0uD1XlDipzHVSWVdTPz1LZoMvl9Mm2ECeHJkYnWWnfO/qUMA+JUqNZFOVsVOBfKrdTOzt201tw+BvQGaD7zTDkEUgd4rOyvNLL0Yqj9cGeWZzJntI9uLwuAGINkQzVdeEu0ZuOVRbalYPueCHOnCxcucspq6ig4fzWupAQjMnJmNLSCBk2HGNyMsakJIzJSZiSktBZG19L1+X0aPOwHKqksrzBvCzlWphXlTuosbvO+D1ziJGQyCBCo4NJ7ByhDVOs63o5cRBUTYurKJdGBf7FKjsCm+fA1rlQVQQRqXDt76D/XRB6xtxxzarGXcMR2xEO2g5yoOwAmSWZZBVnISvsxJVDSoWRq52xTKtMJbbci6XQjje/ELxF9c9RHRSkBXhKMpYrrjg10JOT0YefehbsiZWHKsudVB2pparcprXSyx1UljqoKj9Ly5yTYR4SEURch/D6IYmhUeogqKK0BBX4F8Ljhv3Ltdb8gRVan3zXMZB+H3Qa1ewzWlY6KzlkO8TB8oMcth3maOE+yo/uQx4vJNYmibVJ4m2CKXYTMWUeTNWeE4UD2ehjYjAlJ2Mc2B1TSgrGlBRMKckYU1IxxMYgdDqklDhr3FSVO7HZHFTZHFStLaPKVkB1ed39cidVFQ687jNP1gsOMxESEURYjNYyt57oYmlwFqgKc0XxLRX451JxHLb8T2vR249DaAJc8xQMuBvCk5t8d+W15RyyHeJQ4W4KDmRScfQAjtxszIUVtLNBrE1ypQ3GVJ/2iyYjxsRETJ1SMSWnYExNwZSSgiEpGREbT63bSLXdSU2Fk9IKp3Z7r5PqjfnU2I9RXeGk2ubEfdpc5gCmYIM2D0u4icSuEVjDg7BGmOqug7CEm7CGqdP5FSUQqMA/ndcLB1dpB2H3fg7SA52uhZv+Bl1Hg/7SXjKX10VBVQH5+Qcpyd5HxfGjVOfl4C4sRJSUYSytItzmItYGvaqhV8OSjHq8cdEYU5MJSukG7VLwRsXhCY3BbYnAKYKoqPZowV3hpDrfSc0+JzX2PNyu3DOLEWC2GrGEmQgONRHXIRxruKku2LVAt4Rrt41BqlWuKK1F2wx8KbV1YksPnXkpOQi15dpcN8N+CgPuhagOZ30qt9dNhb0YW1Eu9tI8KgpyqDh+lNr843gKixAl5QSVVRFicxJZCRa3wGQw005vxm0w49GbqbYm4wiLxJ0cSXHveMrC4hHBUbj0FpxeIw6npLbKjaPKhSwGik/svbLuAkInCA4xEhxmwhJmIjLOot0ONWEJO/nz4FATwSFGdOrAp6K0Oa038KXUpjU4LdC9pQdxlxzFWWvHJQUurw631OOytMNpicMdeiXV8e2pMiRSs6cC5/rXcdmq8VY5kNVORI0X4ZTonTr0Lh1GjwGBCY/eiFdnxKM34dGH4Db0xWUw4wyyUJZiwZsWjFcE4eU80x+7wGDXYfYaMYcYMVuNhLbTrk/cN1sNBJ1y30hQsEENRVQU5ZxaXeDnZW7gs7/vR6IDdHUnPQUj6QOiHyCQQocUOhA65In7pdr9cwqqu5yVRG+QmMx6zNYggiwmwoINGM0GTMF6TGYDpmADJrO+7vq028F6zFajOripKEqzaHWBb4qIQ893IACd0Fq9eh1Cr6u/L3QCoRcInQ6hF+j0OoRBr13rdRjNQZjDQrCEhWGNiCAkIhKT2YTepMNg1GMw6jCYdOgNOgwm7b7epFPjwxVF8WutLvCjk9tz3ztP+LoMRVEUv6OapIqiKG2ECnxFUZQ2QgW+oihKG6ECX1EUpY1Qga8oitJGqMBXFEVpI1TgK4qitBEq8BVFUdoIIeWZc5v7AyFEEXD0Mp4ihgbTjPkRVdfFUXVdHFXXxWmNdbWXUsY29oDfBv7lEkJsklKm+7qO06m6Lo6q6+Koui5OW6tLdekoiqK0ESrwFUVR2ojWHPizfF3AWai6Lo6q6+Koui5Om6qr1fbhK4qiKKdqzS18RVEUpQEV+IqiKG1EQAe+EGK0EGKvEOKAEOLpRh4PEkIsqHt8vRAizU/qmiaEKBJCbKu7PNBCdb0lhCgUQmSe5XEhhPh3Xd07hBAD/KSuEUIIW4PX63ctVFeKEGK1EGKXECJLCPF4I9u0+Gt2gXW1+GsmhDALITYIIbbX1fVcI9u0+HvyAuvyyXuybt96IcRWIcTSRh5r2tdLShmQF0APHAQ6AiZgO9DztG0eBWbW3Z4MLPCTuqYB//XBa3Y1MADIPMvjNwGfoy0QOQRY7yd1jQCW+uD1SgAG1N0OBfY18m/Z4q/ZBdbV4q9Z3WsQUnfbCKwHhpy2jS/ekxdSl0/ek3X7fgJ4r7F/r6Z+vQK5hT8YOCClPCSldALzgfGnbTMemFN3eyFwrRBC+EFdPiGl/AYoPccm44H/Sc06IEIIkeAHdfmElDJPSrml7rYd2A0knbZZi79mF1hXi6t7DSrr7hrrLqePCmnx9+QF1uUTQohkYCzwxlk2adLXK5ADPwnIbnA/hzP/09dvI6V0AzYg2g/qAvhRXRfAQiFESjPXdKEutHZfGFr3lfxzIUSvlt553VfpK9Bahw359DU7R13gg9esrntiG1AIfCWlPOvr1YLvyQupC3zznvwn8CvAe5bHm/T1CuTAD2RLgDQpZV/gK05+giuN24I2P0g/4D/AopbcuRAiBPgI+JmUsqIl930u56nLJ6+ZlNIjpewPJAODhRC9W2K/53MBdbX4e1IIcTNQKKXc3Nz7OiGQAz8XaPgpnFz3s0a3EUIYgHCgxNd1SSlLpJSOurtvAAObuaYLdSGvaYuTUlac+EoupVwGGIUQMS2xbyGEES1U50kpP25kE5+8Zuery5evWd0+y4HVwOjTHvLFe/K8dfnoPTkMGCeEOILW9TtKCPHuads06esVyIG/EegihOgghDChHdBYfNo2i4F7625PBFbJuqMfvqzrtD7ecWh9sP5gMXBP3ciTIYBNSpnn66KEEPEn+i2FEIPR/t82e0jU7fNNYLeU8uWzbNbir9mF1OWL10wIESuEiKi7HQxcD+w5bbMWf09eSF2+eE9KKX8tpUyWUqah5cQqKeVdp23WpK+X4VJ/0deklG4hxI+BL9FGxrwlpcwSQvwB2CSlXIz2ppgrhDiAdlBwsp/U9VMhxDjAXVfXtOauC0AI8T7a6I0YIUQO8Hu0A1hIKWcCy9BGnRwAqoH7/KSuicAjQgg3UANMboEPbtBaYHcDO+v6fwF+A6Q2qM0Xr9mF1OWL1ywBmCOE0KN9wHwgpVzq6/fkBdblk/dkY5rz9VJTKyiKorQRgdyloyiKolwEFfiKoihthAp8RVGUNkIFvqIoShuhAl9RFKWNUIGvKIrSRqjAVxRFaSP+H0WXG2H4f4H9AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] @@ -312,7 +307,7 @@ " plt.plot(\n", " *dynamics.expectations(sz, real=True),\n", " color=f\"C{site}\", linestyle=\"solid\",\n", - " label=f\"$$\")\n", + " label=f\"$\\\\langle s_{site}^z \\\\rangle$\")\n", "plt.legend()" ] }, @@ -388,7 +383,7 @@ "Process tensor (PT) computation:\n", "--> PT-TEMPO computation:\n", "100.0% 20 of 20 [########################################] 00:00:00\n", - "Elapsed time: 0.6s\n" + "Elapsed time: 0.4s\n" ] } ], @@ -451,8 +446,8 @@ "text": [ "PT-TEBD computation (open spin chain):\n", "--> PT-TEBD computation:\n", - "100.0% 20 of 20 [########################################] 00:00:04\n", - "Elapsed time: 4.3s\n" + "100.0% 20 of 20 [########################################] 00:00:02\n", + "Elapsed time: 2.9s\n" ] } ], @@ -469,7 +464,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 17, @@ -478,7 +473,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -493,7 +488,7 @@ "for site, dyn in results_open['dynamics'].items():\n", " plt.plot(*dyn.expectations(sz, real=True),\n", " color=f\"C{site}\", linestyle=\"solid\",\n", - " label=f\"$$\")\n", + " label=f\"$\\\\langle s_{site}^z \\\\rangle$\")\n", "plt.legend()" ] }, @@ -510,7 +505,7 @@ "hash": "3306e98808c0871e8a1685f50cc307ae5b4a4a013844b10634a4efe89132c3fe" }, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -524,7 +519,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.13" + "version": "3.10.8" }, "widgets": { "application/vnd.jupyter.widget-state+json": { diff --git a/tutorials/pt_tempo.ipynb b/tutorials/pt_tempo.ipynb index 9f66a120..0786a762 100644 --- a/tutorials/pt_tempo.ipynb +++ b/tutorials/pt_tempo.ipynb @@ -63,7 +63,7 @@ { "data": { "text/plain": [ - "'0.3.3'" + "'0.4.0'" ] }, "execution_count": 2, @@ -164,7 +164,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -181,22 +181,22 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 6, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -230,7 +230,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -263,7 +263,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -272,7 +272,7 @@ "text": [ "--> TEMPO computation:\n", "100.0% 50 of 50 [########################################] 00:00:02\n", - "Elapsed time: 2.3s\n" + "Elapsed time: 2.6s\n" ] } ], @@ -296,22 +296,22 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 9, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -343,7 +343,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -374,7 +374,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -402,7 +402,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -441,22 +441,22 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 13, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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qF2+h8BMfpO1/H2bnJZfQ/YaOKaXGlkQlheHGFBjapeMjwLtABXAy8CsRyTvsTcbcbYyZb4yZX1JSEus41RhV31EPRPU82vYCbHiU9oxL6N22k5IvfQkr8gT6EZ13B1bVPMoKnqH67l+A08Hu66+n4QtfpHfbtjh/AqUSI1FJoQGIHtKxCrtFEO2zwN+MbRuwE4hNZZokefTRRxERNm3adFzHeeaZZ5gxYwbTpk3jhz8cfjynkewznu3q2IVTnFTmVkKgB576CuG8qTQ/vQXPvHnkLbno6AdxZsCn7oegn6ztv2DK3/5K8ec+R/eqVez4+MXs/drX6Nu9O/4fRqk4SlRSeAuYLiK1IuIGrgSWD9lnN/BhABEpA2YAOxIUX1xEF9k5Vv0Fc55++mnq6upYtmwZdXV1o95nvKvvqKcqt8quFfD2A9C6k4O95xPc76Xsa19FrBH+UyieDkt+ArtewXrnt5R84fNMfeF5im68gc5nn2P7RUto+o9vE2gc+ptHqfSQkKRgjAkCtwN/BzYCDxtjNojIrSJya2S37wNnicg64AXg68aYA4mILx76i+zcd999LFu27JiPE10wx+12DxTMGe0+493O9p2H7ifseZOgexItf3menPM+TNbpp4/uYCdfA3M/Cf/4L9jzFs6CAkr/7d+Y+uzfKbjqKtofe4ztH7mQvV/+Ml0vvYQJan8JlT4S9vCaMWYFsGLIurui5huBC2J5zh+t/hGbDh7fpZuhZhbO5OtnfP2o+8WqyM5ICuZoUZ33FwqH2N2xm3Mqz7FX7F9Pc10B4d5WSr/8ldEfUAQ+9j/Q8Bb89Qa45RXIzMdVWkr5//0WRTd8lpbf3U/Hk0/SseJpHCXFTPjYx5nwiUvwzJgR2w+nVIzpE81xEqsiOyMpmKNFdd7fPt8++sJ99k3mQA+9O3fS9k4pBVdeRcaUYcZBGgnPBPjk7+D+C+Gxz8Gn/wSRS1CuigrK/++3KPvaV+l86SXaH3+cg3/8Iwfvv5+MWbPI+8hHyP3wubinTdP/TyrljOmkMJJf9PEQyyI7IymYo0V13l//QHg1eTXQvIm27ZmIZVF8+23Hd+BJp8MF/wnPfANe+wWc86VBm8XtJu/888k7/3yCra10PLWC9uXLaf75z2n++c9xTZ5M7rnnknPuh8g69VTEOab/Oao0oX8L4yCWRXZGUjBHi+q8v10duwComVADG5+mt9VJxtQanIWFx3/wM2+FPavtIbcrT4PaxcPu5iwooPAz11D4mWsI7N9P18qVdL7wD1offJCDv/89jvx8ss86i6yFC8heuBB3VdXxx6bUMdCkEAexLLLjdDqPWDBHi+qMzK72XeS4cijyFGH2rcff5ibnrHmxObgIXPxL2L8BHrkBbnkZ8t6/leYqK6PgyispuPJKQl3ddK96hc5//IPu11+nI1ITw1VVRfbCBWQtWEDWaafhLCvTS00qIWS469HpYv78+WbNmjWD1m3cuJFZs2YlKaKxYyz9Od787M109nWy7GPLCPzqQrb9qp6yb/47hUuXxu4kzZvh7g9B+Vy47klwukd9CGMMfdu30/3Gm3S/8Tq+1W8R7ugAwFFSTOa8E8mcNxfP3HlkzpuLIz8/dvGrcUVE3jbGzB9um7YU1Ji3q2MXp5adCsbQu3kLkEHGjBg/F1kyAy75pd1aeO7bcNHoHyAUETKmTSNj2jQKP3MNJhTCX7eRnvfew79uHT3r1tH1j38M7O+cOJGM2hrcNbW4p0zBXVtDRm0tzvLykT93odQQmhTUmNYT7KGpu8m+ydzZhN/bC2TgmRmHrqFzPwl73oI3f2PfhJ77yeM6nDgcZM6bS+a8uQPrQp2d+DdsoGfdOnq3bqVv5y7aH3+ccHfU4HwuF66SEpxlZTjLynCVleIsLcNZUoyVl4cjbwKO/Ak48vJw5OUh7tG3atTYpUlBjWm7O+xhJ2ryamD/BnpbnThLCnFMmBCfE17wfWj8Jzz+eSg+AcpjdO8iwpGbS/aCBWQvWDCwzhhDsLmZvp276Nu5g8DevQT27ye430vvpk10vfwyxuc74jHF48HyeJDMTKzMzEPzGRmI2424XIdebnuK5UAcFjickakDsRzgsOxWiuUAS+x1loVYErXOArEOzfcfy7Jf4nCAWIjTcWh5YB+HfSyHA0QO7TsQw+DpwLaBeO1t4nTan8Pl0ns1Q2hSUGPaoJ5HdU/jb3PhOTmO90ocLrj8frjnw/DAxXDdE/Z9hjgSEVylpbhKS8k+8/DqcMYYwl1dBA8cINzRQaijg1BbO6GO9shyJ6bXT7jHT9jfg/H1EPb7CXV3QVsQEwgMfvX1YcJhCIUwoZA9jSyno+ikN5AkLMvuRGAJIv0JKzLviCQmiUpATgficEbmnXaycjoQp8tOQJEXLueQJBtJuk5X5JgCRKYi9mz/MVwuJPJ+nE4yamvJmDYt5n8emhTUmNY/Ourk3MmE96ylr9NF7uz4fkmTVwHXPwkPfNx+Xbc85i2G0RARHLm5OHJz43oeY4xdzzoUsudDIQiH7YTRPzVm0LpB2/v3D4UOHWdI0jFhA+HQ4PeHwva6YadhTDgEoUNTwiFMMJLs+oYku2AQjMGYMITN4fGacCSGIccNhg5NAwHCPT57PhiMvAIQCB46b9Q5j7UGeNG/3ETpV47hifyj0KSgxrRd7bsoyyojy5VFz6b1YMAzMwGD7xZNtVsJD3w80mJIbmJIBOn/dWtZw46Vr4ZnQnYiIZI07RwRSUjG2Nv7AhCMSibBII4hBaFiRZOCGtN2deyyLx0Fe+nduReYQEaixh8qmmq3GH7/sUiL4YkxnxjU6InDYV9uShHab02NWcYYOylEhrfwtzkQjxv35MmJC6Jwip0YXNl2Ymham7hzK3UMNCnEUayK7NTU1DBv3jxOPvlk5s8f9nkTLbIzjIP+g3T2dUb1PHLhmVqb+F9l0YnhDxdD/euJPb9So6BJIY5iUWSn38qVK3n33XcZ+gQ3aJGdI+m/yVwzocYe3qLdRcacE5MTTGGtnRg8+fD7JfDcdyDYm5xYlHofmhTiJFZFdkZCi+wMr787anVeNcGt7xLus/Akc+iOwlq49RU45Vp49ef2sBj71iUvHqWGMaZvNO/77/+md2Nsi+xkzJpJ+Te/edT9YlVkB+xeHRdccAEiwi233DJQp6GfFtkZ3q6OXbgsFxVZE/Ft3gK4Yj+8xWhl5MLF/w9mfhQev91ODB/6Jpz9RfvhrnRhDPjbobvZfnV5wXcAejujXl3Q2wF9XXarqP8V6oVgnz0NB8Ec6u6JCdlTwO6kb0X13bewuzUN7c9vDfOKXm8//HZo3gLLCZbLfq7E4Y68IusGnS96PnL+Yc8XdQ7LETm+M2redWi5/5wD53dFzmsNfGz6+2+JDI7Vch7aP6sIsoti/r92TCeFZIpVkR2AV199lYqKCrxeL+effz4zZ85k8eJDQzRrkZ3hNXU1MTF7Ig5fC737ewAXGSeckOywbCd8BD73Bjz1JXjhu7DlGbjwB1BxauSLKMlCAWjbDW31keluaNtjT9sb7EQQOsLlL3FARg5k5NlJ0J0NTg9kRaYOd2Qa9UXZ/8Xa/2UORHfLtOfDUfNRUxOO2h4+tC4cGpxoBpbD9ucLB+xpoAdCfYfWDXvsI5wr+pjhkH2ucMhOdsR5sNGz/xXO/27MDzumk8JIftHHQyyL7AADBXNKS0u59NJLWb169aCkoEV2huf1eSnNKoX96/G3uXBNLMGRk53ssA7JLoLLH4B1j8CKr8A950LZPDh1KZx4OWTGpx/6ID1tcGArHNgSeUXmW3dGvtgixAETKiG/GmoXQU4pZJdAdinkRKbZxXYicGWmRmJLtnDY/jMc+goF7CQ0dH5QwuPQfDgYSWDBQ4ksHLSHUYmDMZ0UkiWWRXa6u7sJh8Pk5ubS3d3Ns88+y7e//e1B+2iRneE19zQzt3iunRRaXXjOmJ3skA4nYieA6efD+kfgnT/A01+FZ/8vzL7EThDVZw+U+jwmxtiXdw5uh+ZN9jDf/dPOpkP7WS772YrSmTDr41A0DQqqIX8y5FbYl1fUyFkWWG4gvQYc1P/LcRDLIjv79+/n0ksvBSAYDHL11Vdz4YUXAlpk5/0YY+yWQmYp4W1rCXQ5mTAnhR8cy8yH02+yX43vwj//CGv/Auseti+1FNTaX9iFUyLTqfalmaDffgX8h+a7D9iXfVp3QWvk8k+w59C5XNn2UN9TPmRPi0+wp/nV+sWvNCnEw4svvhizY02ZMoX33ntv2G0rIlW6wE4QS5Ysidl5011HXwe9oV5Ks0rxb3wYSNDwFrFQcbL9Ov/7sOkpaHoXDu6wL+1sfda+3HA0GXn2r/zi6XYrJL/a7v1UMhPyKo+v5aHGNE0Kakxq9jUDUJpRSO/ORiA3+T2PRsudZV9aOvHyQ+vCIejYCy3b7Rukzgy7JeHy2FOnx74XkVmg1/XVMdGkoMYkr88LQEnAj7/Vwsry4KocAzffLYd9jT8/gUN1qHFF25BqTPL22EmhtPMAva0uMqZN0W66So2AJgU1JvVfPipuqcff7sIz96QkR6RUetCkoMYkr89LnjsPx5a1mKCQkczhLZRKI5oU1JjU/+Caf8tWII16HimVZJoU1JjU3NNMqTuf3n0+ECFj+vRkh6RUWtCkoMYkr89LiTjwtzlxV5VheTzJDkmptKBJIY5iVWTnhhtuoLS0lLlzBxecH2lhnfFWgCcUDnGg5wClfX12YZ3Z4/vpbqVGQ5NCHMWqyM7111/PM888M2jdSAvrjMcCPK29rYRMiPLWNgI+JxlztOeRUiOlSSFOYllkZ/HixRQWFg5aN9LCOuOxAE//g2sTd7cB4Jk5I4nRKJVexvQTza88vIUDe7piesziSTksuuLoQ9bGssjOcEZaWGc8FuDpTwqFe9oA0m94C6WSKGFJQUQuBH4BOIB7jTGHXdwWkQ8CPwdcwAFjzAcSFV+sxbLIznBGWlhnPBbg6U8Kmfu6CGbl4iwtSXJESqWPhCQFEXEAdwLnAw3AWyKy3BhTF7VPPvBr4EJjzG4RKT3e847kF308xLrIznBGWlhnPBbgae5pxsLC0WGQsvwxnwSViqVEtRTOALYZY3YAiMhDwCVA9B3Pq4G/GWN2AxhjvAmKLeZiWWTnSEZaWGc8FuDx+rwUufMIdneTUVuW7HCUSiuJutFcCeyJWm6IrIt2AlAgIi+KyNsisnS4A4nIzSKyRkTWNDc3xync47Ns2TKeeOIJampqBl4bN2485i/jq666ioULF7J582aqqqq47777cDqdA4V1Zs2axRVXXDFQWGfJkiU0NjYCvO9+Y5XX56XEkUXA58BVNenob1BKDUhUS2G49vvQi91O4DTgw0Am8LqIvGGM2TLoTcbcDdwNMH/+/DhXxj42sSyyAxyx99KRCutEF995v/3GqmZfM1N8FiZk4arWJ5mVGo1EtRQagOifbFVA4zD7PGOM6TbGHABeBrSDuRo1r8/LpNYAAK6aaUmORqn0kqik8BYwXURqRcQNXAksH7LP48AiEXGKSBZwJrAxQfGpMaIv1EdrbysTD9g1iV2VQ69SKqXeT0IuHxljgiJyO/B37C6pvzPGbBCRWyPb7zLGbBSRZ4C1QBi72+r6Yzyf9jg5DsN1Y00XB3oOAFB8wAeAa4z3tFIq1kaVFERkPrDWGDOCyuGDGWNWACuGrLtryPJPgJ+M9tjRPB4PLS0tFBUVaWI4BsYYWlpa8KTpAHL9zyjkHezBynBi5eUlOSKl0suIk4KITAReA24A/hS3iI5TVVUVDQ0NpGrPpHTg8XioqqpKdhjHZODBtdY+XEUF+sNAqVEaTUvhOuAB4CZSOCm4XC5qa2uTHYZKkuYe+8eAs8vCVatPMis1WqO50Xwt8O+AW0SmxikepY6L1+fFJU7C3Q69yazUMRhRUhCRDwGbIl1F7wdujGtUSh0jr8/LpFAm4YCFa7K2GJUarZG2FG4E7ovM/y9wuYjosNsq5TT7mpnaYf/VdNXq6KhKjdZRv9gjA9UtAJ4GMMZ0AG8A4+cRWZU2vD1eJreGAHBNmpzkaJRKP0e90WyMaQOmDVl3bbwCUup4eH1eJh60n2Z26jMKSo3amC6yo8aX7kA33YFuilrCiENwFhcnOySl0s5IbzQ/LyI6DpFKac0+uztqXmsfzsIsxNLbXkqN1kj/1XwN+B8RuT/yEJtSKaf/wbWsDoO7tCjJ0SiVnkaUFIwx7xhjzgWeBJ4Rke+ISGZ8Q1NqdLw9dlJwdFk4J5YnORql0tOI29dijxewGfgN8Hlgq4joDWeVMpp9zbiCBvwOXJOqkx2OUmlppPcUVgF7gf/Brph2PfBB4AwRuTtewSk1Gl6fl0mddt8JV+2MJEejVHoaae+jW4EN5vAxlT8vIlrzQKUEr8/L1A4HwPtWXFvX0M7zG/fzr+dN1wHzlBpiREkhuq6BiDiMMaGozR+NeVRKHYPmnmZObbN/txxp3KNgKMxX/vIuW/Z3sWBKEQun6g1ppaIdS5+9uyOV0RCRxcaYHTGOSalj4vV5mdgaAAFXWemw+zzydgNb9nfhcgj3rdK/ukoNdSxJ4dvAfSLyR+D0GMej1DExxtDsa6aoNYBzggdxuQ7bp7s3yM+e28Kpk/O59QNTeWGTlx3NXUmIVqnUdSxJ4fvYvZAM8HBsw1Hq2LT3ttMX7iOvPYSreMKw+9zzyg68nb1866OzuXZhNS7L4v5XdyU2UKVS3Eh7H30navFrxpg7gP8DfGf4dyiVWP3PKGR2Cq7ywy8deTv8/PalHXx03kROqy6gNNfDxSdX8MjbDbT5Rl1dVqkxa6Qthe+IyI9E5B7sYbMLjDHdwC1xjE2pEfP6vFhhg6PbwlU16bDtP3tuC8FwmK9deKir6o3n1NITCPHn1bsTGapSKW2kScEAfuDvwCTgNRE5aUgvJKWSptnXTEEniBFc1YMLA27a18HDa/Zw7YIaqouy2fFuM8/fX8eMslzOnlbEH16rJxAKJylypVLLSJPCJmPMd4wxjxhjvglcgv0gm1IpwevzUtJhz7umzBq07QcrNpGT4eTz506j40APz/++js1v7mP3hhZuOmcK+zr8rFjXlISolUo9I00KB0TktP4FY8wWQKuiq5Th9Xmp6a+4FjXExStbm3lpSzOfP3c6+ZkuXnjAftYyM9fFhpf38oETSphSks29r+zk8GczlRp/RpoUvgD8SUT+JCJfF5EHgZ1xjEupUfH2eJnUZs+7JtoD+YbChv96aiNVBZksPaua9/6xh8atbSy6YjpzFlWya30LXa1+bjynlnV723lrV2vyPoBSKWKko6S+B5wMLIusWglcFaeYlBq1Zl8z5W1BHNlOrEx7AN/H/rmXTfs6+fqFM+ny9vDGYzuoPamYmQsnMvucCgTY+GoTl51SRX6Wi3tf0YfZlBrxcwrGmF5jzFPGmB8ZY+6N9D5SKiV4fV6K20K4inIH1j1bt49JhZlcNLuM5++vw53p4IPXzEREyC30UD23iLpVjbgdwmfOrOa5jfupb9G/1mp809JUKu0Fw0FaelrI6wBXVHGduqYOTqzKZ81Tuziwp4sPXjOTrDz3wPY5iyvxdfSx670DLF1YjdMSfZhNjXuaFFTaO+g/SNiE7AfXKuyB8Np7Auw52MNsVwbv/L2emWdNZMrJg/tGTJ5TRE5hButf3ktpnoePn1TBw2v20N0bTMbHUColHDUpiEjW0PrMIjJZRIYfhlKpBPP6vOT5wAoJrupaADY1deAy4H67lZxCD4suP3wobcsS5pxTScOmVtr2+/jkqVX4+kK8saMl0R9BqZQxkpZCAPibiGRHrbsX0FrNKiV4fV5K2u15V+1MwL50dIbfSV97Hx++bhbuzOFHiZ919kQsS9iwqpHTqgvwuCxe2XogUaErlXKOmhSMMQHgUeDTYLcSgBJjzJo4x6bUiDT7minuiNRRqLFbBHWNHUwxTspq86g8oeCI782ekEHtycVseq0JJ3BGbRGvbG1ORNhKpaSR3lO4F/hsZH4pcH98wlFq9Lw9Xsr6WwqR4jp1je2UBIXS6ryjvn/O4kr83QG2v9PM4unFbG/uprGtJ54hK5WyRvqcwiYAETkB+/mEP8YzKKVGw+vzUtUOltvCysujLxjmQKMPRxhKJ+ce9f1VJxQwoTSTDa/s5ZzpxQCs0ktIapwaTe+j+7BbDGuNMfrop0oZ+7r3MbEtjKswCxFhe3MXRQF7W8kIkoJYwpxFlTRta6c4KJTkZvDKNk0KanwaTVJ4GDgJOzkolTKauvZS3B7GVWLfO6hr7KAsZOFwWRSUZ43oGDMXluNwWtStamLRtGJe3XaAcFjHQlLjz2ieaPYZYyYYY54/lhOJyIUisllEtonIN95nv9NFJCQinzqW86jxJWzCNHXvI69DcE0sB+yeRxUhi+JJOViOkf0Vz8xxM/W0Eja/0cTZtYUc7O6jrqkjnqErlZIS8vCaiDiAO4GLgNnAVSIy+wj7/Qi7boNSR3XQfxBHTx+uPsE1aTIAdXvbKQ1blI3gJnO0GWeW0+cPMc3Y9Z21a6oajxL1RPMZwDZjzA5jTB/wEHZNhqE+D/wV8CYoLpXmGrsaKe7veVRzAsYYGvd04gxDSfXR7ydEq5iej9Nt0b6zk5nluazapl1T1fiTqKRQCeyJWm6IrBsQeUL6UuCu9zuQiNwsImtEZE1zs/6jHe8auxspaY88ozB1No3tfrJ9dhW10smjayk4XQ6qZhRQv/4A50wt4q1drfT0aXFBNb4kKinIMOuG3sX7OfD1o5X4NMbcbYyZb4yZX1KidX7Gu6aupoGKa86qydQ1dlAetLBcFvkjvMkcrXpuER0H/JxebHdtXb3rYIwjViq1JSopNGDXdu5XBTQO2Wc+8JCI7AI+BfxaRD6RkOhU2mrsaqSiHcQBzuLiSM8jsW8yW8P9Fnl/k+fYo6wWdYRxOyxW6dPNapwZfkCY2HsLmC4itcBe4Erg6ugdjDG1/fMi8nvgSWPMYwmKT6Wppu4mFrcZnPmZiGVR19jG7LCD8prRXTrql1ecSUF5Fo2bDjK/pkBvNqtxJyEtBWNMELgdu1fRRuBhY8wGEblVRG5NRAxqbGrs2ktZawh3mf2MQsPuTpxmZE8yH0n13CL2bm3jnNoiNu3rxNvpj1W4SqW8RLUUMMasAFYMWTfsTWVjzPWJiEmlv6auRvLbBddJFXT4A3CwD3BTMsruqNEmzy3i3ef3MMdhF+R5ddsBLj2lKkYRK5XatMiOSlsdfR2Yzm7cvYK7diqbmjopC1qIyyK/bPQ3mftVTM3HleHANPZQmO3WS0hqXNGkoNJWU1cT5ZFRuNzT51LX2E55SCiqOrabzP0cLouqmQXs2XCQs6cWsWrrAYzRIS/U+KBJQaWtxq5GytoizyicMI+6ve2UhS0qao/90lG/6rlFdB70s7A4D29nL1v2dx33MZVKB5oUVNpq7G6krL+lMGkSu+s7cJqR1VA4mv6uqZV+u8WhhXfUeKFJQaWtpq4mKloNjhwnoQwPPfvswjiloxzeYji5hR4KK7Jp3d7B1JJsva+gxg1NCiptNXY3MqnV4C7JY3tzF8UBQVxCfumx32SOVj23iKZtbSyuLeLNnS30BnXICzX2aVJQaaupYw8lbQZ3Rak9vEXIIr8iBzmOm8zRqucUEQ4ZTsnIxB8I81zd/pgcV6lUpklBpS1v215yusA1uYa6hnZKQ8KkqRNidvzyaRNweRzkHAxQU5TFPa/s1F5IaszTpKDSkj/ox9XcgSC4p85k1852nAhlxzi8xXAcDotJswrZU3eQG86u4b09bayp10q0amzTpKDSUlN3E2Wtke6oM06io6kbGFlN5tGonltEV2svH64oJD/LxT0v74jp8ZVKNZoUVFpq6mqirM2eP1g8mTyfgRjeZO43ebbdNXX/5jY+c2Y1z23cz84D3TE9h1KpRJOCSkuN3Y2UtxpwC5t8FmUhi9yJ2TG7ydwvpyCDoqoc6te3sPSsalyWxe9W7YzpOZRKJZoUVFpq7GqkvM2QUZRFXWMHpSFh8tT8uJyrem4R+7a3k2c5uOTkCv7y9h5au/vici6lkk2TgkpLTZ0NVLSCu6yIHdvbcCJUTIndTeZo0+eXYYzhjce2c9OiKfgDYR58sz4u51Iq2TQpqLTU1LaLonaDa1Il7Y32Nf7R1mQeqeKqHE46bzIbXmkkuz3I4hNKeOD1en2YTY1JmhRUWupp2oszJEj1VJztAYxTmFCSGbfznfHxWiaUZLLyjxu5cUE1zZ29LH93aEVZpdKfJgWVdoLhIA5vOwDNJdMpDVpklmbG/CZzNJfbwblLZ9JxwI+1vp2Z5bnct0ofZlNjjyYFlXa8Pi8lkWcUNmVPpjgkTIzhQ2tHUjG9gLkfqGTtygaWnjCRTfs6daA8NeZoUlBpp7+OgrFgY3sGboSaOPU8GmrhpVPJKcjAvNlCeU4G97yiD7OpsUWTgko7Td12xTUr38X+hsiTzJNi+yTzkbg9Tj70mZm07fdxbW4+r2w9wN837EvIuZVKBE0KKu00djVS2mbIKJmAv9mPESicmJ2w80+eXcTMsyYimzs4uyiXW//0Nne9tF3vL6gxQZOCSjtN7TspbwVHeRm5foM1wYXDldi/ymd/chqZuW4+2pPBJyeX8D9PbeLf/rJWu6mqtOdMdgBKjVZL0zaye6GzuJLSgxYFlTkJj8GT7eKD18zk6d+spbYRvkAm3SsP8NM3X+a0eaWUV+XiznTicFo4nBZOl4Uj8srIcpKZ48aT7cRy6O8ylVo0Kai0E2xoAmBXzhRyW4SaGNZQGI3aE4u59r/OomVvF637fKyta2bL1lbqVu9n+xsjK8iTkeXEk+MiM8eFJ8cdNW9PM3PcZGS7yMhy2vtmJb5VpMYXTQoqrRhjcHg7ANhgqskGqqbkJy2e3EIPuYUeaubBKedPZm1DG//yhzUEfEFuWljLJSdOxGNZhIJhgoEwob4wfl8Af1cAf3eAns4A/q4+eroCdB7007y7k56uPsLBI9+fcEZaG+5MJy6PE7fHgSvDgdvjxOVx4HI7cLotnG4HDpeFKzJ1uqyBlovDJVgOe95yCg6HheUQLIcg1qFlcQiW2FMREInfsyAqNWhSUGmlxd9CYWsYgIbuHGZgD0ORKk6syufx287ha39dy49f2cZv3trFdQtr+OzZNZTmZIzoGMYYAr0h/F2RpOEL0OsL0OcL4vcF6fUF7eWeIAF/iD5/iJ7OPgK99nygN0QoEI7L5xNLEAs7UViRRGENmZdDCUQsIHp5YJ/D1x9ajiSfI2xDBAH6/yNW/2xkX6LfF9knMh+930DMUcuDj31o//4FGZhGrYuKSawh5xv6mfvjFRn48zn0WQf9SR+aGxJr/75FlTmUVsf++RxNCiqtNHU1Ud5mCGVbhDsNYY9FZo472WENUj7Bwx9uOIO1DW38euV27nxxG/eu2sGVp0/mXxZPoTL//YfjEBHcHiduj5O84mMbusOEDcGg3TIJ9NlJIhgIEQoaQsEwoWCYcPR8yEReYUzY4O8L0ekL4OsN4u8L0dMXwt8XorcvhL8vTDBkv0KhMMGgIRgyhMNhwsZgwvb5jQHCHOqVNTAFicwOfG9jr4tetrC/fAcvH3ofQ7ZHT6OPgxnufVGvodvN4H2jRW8fbl30Zxm0PQ7yTy3imptPivlxNSmotNLY3WhXXCvMojgoZFbFb7yj43ViVT53XXsa27xd3PXSdv70Rj1/eqOeRdOLuWBOOefNKqMkd2Sth9ESS3C57UtJHlyDtnX4AzQc7KGh1cfe7h4a23rY39GLt9OPt7MXb0cvXb3BIx7b7bDIynCQ6XKQmWVPs9xOPC4HLoeF0xJ76hCclr1sWYIldgvDiroM1f/reGhvXmMMBggbQ9hA2ETWGTD0TxlYZmDZ3r//vfbBot4Tme8/nn3s6GUzKJ5DhxiyfiDQofGYqLgiy+HIcSPnkqhzm0iwR+zO3H+c0KGT9/85XDYpPn93NCmotNLUsYdpbRCaUkxRWCiPQ/M51qaV5vDTy0/iS+efwB9e28WK9U2s/Ns6vinrOHVyARfMLuOCOeXUFsfmWQt/IMTeth52H/TRcNDH7shrTyQRdPgHf+FnOC3K8jyU5mYwqzyPxdMzKM3LoCQng/wsNxMyXeRnuZiQab88LkdM4lSpSZOCSiv79m3izE7YO2EGFsK06QXJDmnEKvMz+fcls/jGRTPZtK+TZzfs59m6ffzg6U384OlN5HmcTCrMYnJhFpMKs5hUkElVYRbZbifBcJhQ2L5MEwwbQuEw7T0B9rX3sr/Tj7fDz74OP/s7ejnQ1Tvol3eG0xo43mnVBVQVZFJVkBWZZlKY7dYbyGqAJgWVVnz12wCod9dCkLRoKQwlIsyamMesiXl88bzp7DnoY+VmL1v3d7H7oI/N+zt5YZOXvuDIbhYXZrspy/NQlpfBnIkTKJ/gobrITi6TC7MozsnAiuMIsmps0aSg0kqw0e7/38hE8i3iWkMhUSYVZrF0Yc2gdeGwwdvZy55WH33BMA5LcFoSmVo4LCEv00lJbgYZTr2co2JHk4JKK87mLgD84QlYBe641lBIJssSyid4KJ/gSXYoapzRRyNV2ujs6yS/NUTADYVhF/mViRsET6nxImFJQUQuFJHNIrJNRL4xzPZrRGRt5PWaiMS+A65Ka3YdBegsLsWDUDM1fW4yK5UuEpIURMQB3AlcBMwGrhKR2UN22wl8wBhzIvB94O5ExKbSR1OX/YxCe+EUAKZOz09uQEqNQYlqKZwBbDPG7DDG9AEPAZdE72CMec0Y0xpZfAOoSlBsKk00tmyhtB1as6dggKKqxBTWUWo8SVRSqAT2RC03RNYdyY3A08NtEJGbRWSNiKxpbm6OYYgq1bXuWIcrBG2uSYSy7ad1lVKxlaikMFwXkWGf6xaRD2Enha8Pt90Yc7cxZr4xZn5JSUkMQ1Sprqd+JwB9jhIyS9O/K6pSqShRXVIbgElRy1VA49CdRORE4F7gImNMS4JiU2ki0OQl4MzELZmUT9ZLR0rFQ6JaCm8B00WkVkTcwJXA8ugdRGQy8DfgWmPMlgTFpdKEL+CDA9105lYAcMKMwiRHpNTYlJCWgjEmKCK3A38HHMDvjDEbROTWyPa7gG8DRcCvI+OwBI0x8xMRn0p9G1o2UNYK7UV2g3PS1PzkBqTUGJWwJ5qNMSuAFUPW3RU1fxNwU6LiUenlvX1vU91saKmuJeAUsvJSq4aCUmOFPtGs0sLmzS9S1QIHM6uxCnVUT6XiRZOCSnnGGPrWbSYsFiFnEQUVOryFUvGiSUGlvIbOBqrqe+nKKcMSi2q9n6BU3GhSUCnvXe8/mbXH0FY5FYCZM4uSHJFSY5cmBZXy6ratpHY/NBfOJCRQrJePlIobTQoq5bW9vRrLQKOrhnCuE8uhf22VihctsqNSmi/gI3d7K31ONx7Jp3T6hGSHpNSYpj+5VEqra6ljxh7D/uq5OBDOPFsHz1UqnjQpqJS2dvtKpjdCY/F8gg6YPEML6ygVT5oUVErbv/ofOENCh2cGnknZOPR+glJxpf/CVMoyxiCb9tKZOwmHeJh7enmyQ1JqzNOkoFLW3q69VO8O0lg1DwOceubEZIek1JinSUGlrPd2r2LGXkNzwUkEC1xk5uggeErFmyYFlbJ2v/YEFhMIuCupmqP1E5RKBE0KKmX1rttMS9EcAM5apF1RlUoETQoqJfmDfgp3+thXNpdetzBxcl6yQ1JqXNCkoFJS3f53mb7XQXveTHJqc7V+glIJoklBpaQtrz5MKGM6xsrg1AXa60ipRNGkoFJS+5q3aCmaS5gwJ5+mzycolSiaFFTKMcaQse0gzSVzCZZ6cLodyQ5JqXFDk4JKOY0dDVQ2l9GbUcyUk0qSHY5S44omBZVy6t78X0KeuQAs+sCkJEej1PiiSUGlHO+rL3CgaC4hl5/C4qxkh6PUuKJFdlRKMcYQ3NxK14QpZM3SYbKVSjRtKaiU8vx7yyg6OB3E4sxz9NKRUommSUGljJ5gD5t+8UP82XMJE2DuXL3JrFSiaVJQKeMvD/8bp20oZ3/pKTimFSCWPsWsVKJpUlApobFtF7n3r2LjrM/S57JYevNJyQ5JqXFJk4JKCU/88HpM5qfo8ZSy+Lo55ORlJDskpcYlTQoq6d56+2GqV0+kqeJssk4q4LTTdawjpZJFk4JKqmA4yMYf/5L62qsJunv0spFSSabPKaikeurez+PgGoJOJ5d8eSFOp45zpFQyaVJQSdPWuofeFW7ayk9g4uICamrykx2SUuOeXj5SSREI9fHYN77EgdKP4cho4NKrTk52SEoptKWgEqy7+yBP/X9fJbA2n768z2BZHXz6u5drZTWlUkTCkoKIXAj8AnAA9xpjfjhku0S2LwF8wPXGmHcSFZ+Kr3316/n7T36JtMyiM+8qKLZwsovTP/sBCvIzkx2eUioiIUlBRBzAncD5QAPwlogsN8bURe12ETA98joT+E1kqlJYOBQi4PfT1+fH19nO7s0b8O7YQee+Fvra/YR8QE8GQesk+jI+jSO7g8zsTXzwc1cyZdq5yQ5fKTVEoloKZwDbjDE7AETkIeASIDopXAL8wRhjgDdEJF9EJhpjmmIdzIPf+g4dXs03R3ekSzqCEcGIBTK0t1A2MG/wKk+YjN4tlE47yCVfvBG3S3sYKZWqEpUUKoE9UcsNHN4KGG6fSmBQUhCRm4GbI4tdIrL5GGMqBg4c43vTVfI/81dvSfQZk/+ZE08/8/hwPJ+5+kgbEpUUhvvJaY5hH4wxdwN3H3dAImuMMfOP9zjpRD/z+KCfeXyI12dOVJfUBiB6cPwqoPEY9lFKKRVHiUoKbwHTRaRWRNzAlcDyIfssB5aKbQHQHo/7CUoppY4sIZePjDFBEbkd+Dt2l9TfGWM2iMitke13ASuwu6Nuw+6S+tk4h3Xcl6DSkH7m8UE/8/gQl88sdmcfpZRSSoe5UEopFUWTglJKqQHjOimIyE9EZJOIrBWRR0UkP9kxxZuIXC4iG0QkLCJjugufiFwoIptFZJuIfCPZ8cSbiPxORLwisj7ZsSSCiEwSkZUisjHyd/qLyY4p3kTEIyKrReS9yGf+bqzPMa6TAvAcMNcYcyKwBfj3JMeTCOuBy4CXkx1IPEUNrXIRMBu4SkRmJzequPs9cGGyg0igIPAVY8wsYAFw2zj4f9wLnGuMOQk4Gbgw0lszZsZ1UjDGPGuMCUYW38B+NmJMM8ZsNMYc61Pg6WRgaBVjTB/QP7TKmGWMeRk4mOw4EsUY09Q/aKYxphPYiD0KwphlbF2RRVfkFdPeQuM6KQxxA/B0soNQMXOkYVPUGCQiNcApwJtJDiXuRMQhIu8CXuA5Y0xMP/OYr6cgIs8D5cNs+pYx5vHIPt/Cboo+mMjY4mUkn3kcGNGwKSr9iUgO8FfgX40xHcmOJ96MMSHg5Mg90EdFZK4xJmb3kcZ8UjDGnPd+20XkOuBjwIfNGHlo42ifeZzQYVPGARFxYSeEB40xf0t2PIlkjGkTkRex7yPFLCmM68tHkcI/XwcuNsb4kh2PiqmRDK2i0likMNd9wEZjzM+SHU8iiEhJfy9JEckEzgM2xfIc4zopAL8CcoHnRORdEbkr2QHFm4hcKiINwELgKRH5e7JjiodIB4L+oVU2Ag8bYzYkN6r4EpFlwOvADBFpEJEbkx1TnJ0NXAucG/n3+66ILEl2UHE2EVgpImuxf/g8Z4x5MpYn0GEulFJKDRjvLQWllFJRNCkopZQaoElBKaXUAE0KSimlBmhSUEopNUCTglJKqQGaFJRSSg3QpKDUMRCRKhH5dNTyb0Xk7GTGpFQsaFJQ6th8GDg1avlM7OHXlUprmhSUGiUROQf4GfCpyNAKs4AtxpiQiNREqvk9EKno94iIZIlItog8FamYtT66laFUKtGkoNQoGWNWYY87c4kx5mTs6m7PRO0yA7g7UtGvA/gc9kiWjcaYk4wxc4fsr1TK0KSg1LGZAfRXsPsIg7/k9xhjXo3M/wk4B1gHnCciPxKRRcaY9sSFqtTIaVJQapREpAhoN8YERCQLyDfGRNdqGDrKpDHGbAFOw04OPxCRbycoXKVGRZOCUqNXy6GCPR8CVg7ZPllEFkbmrwJWiUgF4DPG/An4KYNvUiuVMsZ85TWl4mATUCwi67Hr5H5vyPaNwHUi8ltgK/AbYBHwExEJAwHg/yQwXqVGTOspKHUcROQd4ExjTCCyXAM8GbmZrFTa0ZaCUsfBGKOXgdSYoi0FpZRSA/RGs1JKqQGaFJRSSg3QpKCUUmqAJgWllFIDNCkopZQaoElBKaXUAE0KSimlBvz/5lUgkGTOWEoAAAAASUVORK5CYII=\n", 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\n", "text/plain": [ "
" ] diff --git a/tutorials/quickstart.ipynb b/tutorials/quickstart.ipynb index 04361e0c..a8c1bb3f 100644 --- a/tutorials/quickstart.ipynb +++ b/tutorials/quickstart.ipynb @@ -61,7 +61,7 @@ { "data": { "text/plain": [ - "'0.3.0'" + "'0.4.0'" ] }, "execution_count": 2, @@ -112,14 +112,14 @@ "output_type": "stream", "text": [ "--> TEMPO computation:\n", - "100.0% 150 of 150 [########################################] 00:00:13\n", - "Elapsed time: 13.6s\n" + "100.0% 150 of 150 [########################################] 00:00:08\n", + "Elapsed time: 8.5s\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 4, @@ -128,7 +128,7 @@ }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -162,7 +162,7 @@ "\n", "plt.plot(t, s_z, label=r'$\\alpha=0.3$')\n", "plt.xlabel(r'$t\\,\\Omega$')\n", - "plt.ylabel(r'$$')\n", + "plt.ylabel(r'$\\langle\\sigma_z\\rangle$')\n", "plt.legend()" ] }, @@ -293,7 +293,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "../oqupy/tempo.py:833: UserWarning: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually.\n", + "/home/pip/documents/saints/phd/tempo/OQuPy/tutorials/../oqupy/tempo.py:850: UserWarning: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually.\n", " warnings.warn(GUESS_WARNING_MSG, UserWarning)\n", "WARNING: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually.\n" ] @@ -303,8 +303,8 @@ "output_type": "stream", "text": [ "--> TEMPO computation:\n", - "100.0% 80 of 80 [########################################] 00:00:06\n", - "Elapsed time: 6.8s\n" + "100.0% 80 of 80 [########################################] 00:00:04\n", + "Elapsed time: 4.3s\n" ] } ], @@ -332,7 +332,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 10, @@ -341,7 +341,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -356,7 +356,7 @@ "t_1, z_1 = dynamics_1.expectations(0.5*sigma_z, real=True)\n", "plt.plot(t_1, z_1, label=r'$\\alpha=0.3$')\n", "plt.xlabel(r'$t\\,\\Omega$')\n", - "plt.ylabel(r'$$')\n", + "plt.ylabel(r'$\\langle\\sigma_z\\rangle$')\n", "plt.legend()" ] }, @@ -415,7 +415,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "../oqupy/tempo.py:833: UserWarning: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually.\n", + "/home/pip/documents/saints/phd/tempo/OQuPy/tutorials/../oqupy/tempo.py:850: UserWarning: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually.\n", " warnings.warn(GUESS_WARNING_MSG, UserWarning)\n", "WARNING: Estimating parameters for TEMPO computation. No guarantee that resulting TEMPO computation converges towards the correct dynamics! Please refer to the TEMPO documentation and check convergence by varying the parameters for TEMPO manually.\n" ] @@ -461,7 +461,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -593,14 +593,14 @@ "output_type": "stream", "text": [ "--> TEMPO computation:\n", - "100.0% 50 of 50 [########################################] 00:00:03\n", - "Elapsed time: 3.1s\n" + "100.0% 50 of 50 [########################################] 00:00:01\n", + "Elapsed time: 1.9s\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 16, @@ -627,7 +627,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 17, @@ -636,7 +636,7 @@ }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -651,7 +651,7 @@ "dynamics_2 = tempo.get_dynamics()\n", "plt.plot(*dynamics_2.expectations(0.5*sigma_z, real=True), label=r'$\\alpha=0.3$')\n", "plt.xlabel(r'$t\\,\\Omega$')\n", - "plt.ylabel(r'$$')\n", + "plt.ylabel(r'$\\langle\\sigma_z\\rangle$')\n", "plt.legend()" ] }, @@ -672,14 +672,14 @@ "output_type": "stream", "text": [ "--> TEMPO computation:\n", - "100.0% 100 of 100 [########################################] 00:00:13\n", - "Elapsed time: 13.9s\n" + "100.0% 100 of 100 [########################################] 00:00:06\n", + "Elapsed time: 6.1s\n" ] }, { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 18, @@ -706,7 +706,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 19, @@ -715,7 +715,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -730,7 +730,7 @@ "dynamics_2 = tempo.get_dynamics()\n", "plt.plot(*dynamics_2.expectations(0.5*sigma_z, real=True), label=r'$\\alpha=0.3$')\n", "plt.xlabel(r'$t\\,\\Omega$')\n", - "plt.ylabel(r'$$')\n", + "plt.ylabel(r'$\\langle\\sigma_z\\rangle$')\n", "plt.legend()" ] }, @@ -754,7 +754,7 @@ "hash": "3306e98808c0871e8a1685f50cc307ae5b4a4a013844b10634a4efe89132c3fe" }, "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -768,7 +768,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.13" + "version": "3.10.8" }, "widgets": { "application/vnd.jupyter.widget-state+json": {