From 12b514974e3dff8a1f572b9a372922ada28cd084 Mon Sep 17 00:00:00 2001 From: "valentin.boettcher@mailbox.tu-dresden.de" Date: Mon, 3 Apr 2023 15:14:07 -0400 Subject: [PATCH] plot the state evolution --- .../subprojects/cycle_shift/cycle_shift.org | 48 +++++++++++++++--- .../cycle_shift/figures/state_evolution.pdf | Bin 0 -> 239120 bytes .../cycle_shift/tangle/cycle_shift.py | 27 ++++++++++ 3 files changed, 67 insertions(+), 8 deletions(-) create mode 100644 python/otto_motor/subprojects/cycle_shift/figures/state_evolution.pdf diff --git a/python/otto_motor/subprojects/cycle_shift/cycle_shift.org b/python/otto_motor/subprojects/cycle_shift/cycle_shift.org index 68c8cc7..aa3b2df 100644 --- a/python/otto_motor/subprojects/cycle_shift/cycle_shift.org +++ b/python/otto_motor/subprojects/cycle_shift/cycle_shift.org @@ -71,7 +71,7 @@ We shift so that we just overlap with coupling/decoupling and one above. #+end_src #+RESULTS: -[[file:./.ob-jupyter/ef0a7a7b6f1172696db92c18eb5a95ccec0faeef.svg]] +[[file:./.ob-jupyter/7b48f7e993970d5cb00ceead732a16ea52bba18f.svg]] #+begin_src jupyter-python :tangle no #ot.plot_cycles(models, bath=0, legend=True) @@ -95,7 +95,7 @@ We shift so that we just overlap with coupling/decoupling and one above. #+end_src #+RESULTS: -[[file:./.ob-jupyter/4549701b0956747aa203cfb74b1af946ce1cb906.svg]] +[[file:./.ob-jupyter/470280b4020454f5eaec21d8f9f8d1ea12a530cd.svg]] ** Integrate #+begin_src jupyter-python @@ -175,20 +175,52 @@ We shift so that we just overlap with coupling/decoupling and one above. [0. 0.88079708]] [[0.37754067 0. ] [0. 0.62245933]] - /nix/store/vkzza81mzwyk5br1c6cm67g48xycvmvl-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/cbook/__init__.py:1369: ComplexWarning: Casting complex values to real discards the imaginary part + /nix/store/h9ywp3qh1x47y82bwgaqrd1fxmp1bdy3-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/cbook/__init__.py:1369: ComplexWarning: Casting complex values to real discards the imaginary part return np.asarray(x, float) - /nix/store/vkzza81mzwyk5br1c6cm67g48xycvmvl-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/axes/_axes.py:5340: ComplexWarning: Casting complex values to real discards the imaginary part + /nix/store/h9ywp3qh1x47y82bwgaqrd1fxmp1bdy3-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/axes/_axes.py:5340: ComplexWarning: Casting complex values to real discards the imaginary part pts[0] = start - /nix/store/vkzza81mzwyk5br1c6cm67g48xycvmvl-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/axes/_axes.py:5341: ComplexWarning: Casting complex values to real discards the imaginary part + /nix/store/h9ywp3qh1x47y82bwgaqrd1fxmp1bdy3-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/axes/_axes.py:5341: ComplexWarning: Casting complex values to real discards the imaginary part pts[N + 1] = end - /nix/store/vkzza81mzwyk5br1c6cm67g48xycvmvl-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/axes/_axes.py:5344: ComplexWarning: Casting complex values to real discards the imaginary part + /nix/store/h9ywp3qh1x47y82bwgaqrd1fxmp1bdy3-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/axes/_axes.py:5344: ComplexWarning: Casting complex values to real discards the imaginary part pts[1:N+1, 1] = dep1slice - /nix/store/vkzza81mzwyk5br1c6cm67g48xycvmvl-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/axes/_axes.py:5346: ComplexWarning: Casting complex values to real discards the imaginary part + /nix/store/h9ywp3qh1x47y82bwgaqrd1fxmp1bdy3-python3-3.9.15-env/lib/python3.9/site-packages/matplotlib/axes/_axes.py:5346: ComplexWarning: Casting complex values to real discards the imaginary part pts[N+2:, 1] = dep2slice[::-1] #+end_example -[[file:./.ob-jupyter/4856874e733d5f5018bed3f93e048cecaf3f50de.svg]] +[[file:./.ob-jupyter/d8fd69f598a04d24c7d912a451860cf1e02368eb.svg]] :END: +#+begin_src jupyter-python + b = qt.Bloch() + with aux.get_data(model) as data: + ρ = data.rho_t_accum.mean[:] + σ_ρ = data.rho_t_accum.ensemble_std[:] + # plt.plot(model.t[100:], abs(ρ[100:, 0, 1]) / abs(ρ[100:, 0, 0])) + # plt.yscale("log") + # plt.xlabel(r"$\tau$") + # plt.ylabel(r"$|\rho_{01}| / \rho_{00}$") + # fs.export_fig("coherences") + xs = np.einsum("tij,ji->t", ρ, qt.sigmax().full()) + ys = np.einsum("tij,ji->t", ρ, qt.sigmay().full()) + zs = np.einsum("tij,ji->t", ρ, qt.sigmaz().full()) + + b.add_points([xs, ys, zs]) + b.view = [20, 20] + b.point_size = [0.01] + b.sphere_alpha = 0.01 + b.render() + b + + plt.plot(model.t, zs, label=r"$\langle \sigma_z\rangle$") + plt.plot(model.t, xs, label=r"$\langle \sigma_x\rangle$") + plt.plot(model.t, ys, label=r"$\langle \sigma_y\rangle$") + plt.legend() + plt.xlabel(r"$\tau$") + fs.export_fig("state_evolution", y_scaling=.7) +#+end_src + +#+RESULTS: +[[file:./.ob-jupyter/99edbd5d5058d4549a50986c86e4ef614a750526.svg]] + #+begin_src jupyter-python ot.plot_steady_energy_changes([baseline], 2, label_fn=lambda _: "") diff --git a/python/otto_motor/subprojects/cycle_shift/figures/state_evolution.pdf b/python/otto_motor/subprojects/cycle_shift/figures/state_evolution.pdf new file mode 100644 index 0000000000000000000000000000000000000000..b3c8619ec58d9ceed67e3f442c219c731174cc13 GIT binary patch literal 239120 zcmagEWl$VSxGjoXaDv<51b3II>$G<0z>b+QAn|1}X9l`RZSEbYtz9REd~?2VO8T>#pkV@1V5P)xtO02rlgK@f!h zn??Scr2xAB3l8)Dzk$EF|Dty?1)=*FKBJPUv%Ra6F{q!v_(A8(nVMJ{3fq4NoyY|G 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zBC!SA?{e1Os`P)MkizJ6=!o1L+cAj6(h#mzaZ8sjkQGwlG|xPOUYEcf{})88!oT7- z|1U%=h4lIhB9?;dq(a0}h@blqu|I{N1Mo{J)LL`E4Pc&9qN5BEAOLdu=MV*gp?(aZ zAozC{Cm?_Wgm;P+Kx868@IT!EFeVP~OaX5G%)wQMf|Qj(V9OwH90;r(NYu3;Vu`>| zQyuUJJ7Gak3Q-fR4*Q=n=+83v|CB-G0i-Cf9_3qAm9prMXefx>9~jVojFg;yG5*EQ z1p@v@N!f@W${$&nVqI~5An<8-XFt$cfPV@I%qjF!O~OSyz%u>G7eSf(%URPGhb0nx zL6SyTqPHi3=;`hV@`uZ#I0ygy}IA3%E7^FXYc{{s+ z9I;LpfCPW6AO+l=vb;M1uSMBjNi9VvMgal=;Isf*6}ZkwvHX)#pfApa1p`X3twMN4f%D*#|#Djf#)s}2L8V}H@1 zfHM5-OBti6d;t?2h?X)1`71sM1c(o))_xlV2BC_XqC)|N*{=gOi`o|fqab;ybw~H;3_@b!y8HzwEps4bN0vKcn)ja?kf_e`C1~72g_QwK6qZBYydj;r_0Cag@ z%zzDz0$K*;`YT^306PYN&HHRH2pSHhUJs2%QlAaL7bxa0z6b!#ynj778aVP)Hp&^I ziVrwIuwP<t", ρ, qt.sigmax().full()) + ys = np.einsum("tij,ji->t", ρ, qt.sigmay().full()) + zs = np.einsum("tij,ji->t", ρ, qt.sigmaz().full()) + +b.add_points([xs, ys, zs]) +b.view = [20, 20] +b.point_size = [0.01] +b.sphere_alpha = 0.01 +b.render() +b + +plt.plot(model.t, zs, label=r"$\langle \sigma_z\rangle$") +plt.plot(model.t, xs, label=r"$\langle \sigma_x\rangle$") +plt.plot(model.t, ys, label=r"$\langle \sigma_y\rangle$") +plt.legend() +plt.xlabel(r"$\tau$") +fs.export_fig("state_evolution", y_scaling=.7) + ot.plot_steady_energy_changes([baseline], 2, label_fn=lambda _: "") fs.export_fig("prototype_energy_change", y_scaling=.7)