mirror of
https://github.com/vale981/HOPSFlow-Paper
synced 2025-03-04 17:21:42 -05:00
add steady energy dynamics for all models
This commit is contained in:
parent
aa1861a954
commit
3bf7b9715f
30 changed files with 27489 additions and 6086 deletions
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@ -531,11 +531,17 @@ def model_description(model):
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return model.description
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@pu.wrap_plot
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def plot_steady_energy_changes(
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models, steady_idx=2, label_fn=model_description, bath=None
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models,
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steady_idx=2,
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label_fn=model_description,
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bath=None,
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ax=None,
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with_shift=False,
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shift_min_inter=False,
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):
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fig, ax = plt.subplots()
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times, inters, systems = [], [], []
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for model in models:
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t, inter = val_relative_to_steady(
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model,
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@ -545,12 +551,25 @@ def plot_steady_energy_changes(
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else model.interaction_power().for_bath(bath)
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).integrate(model.t),
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steady_idx,
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shift=model.L_shift[0] if with_shift else 0,
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)
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t, sys = val_relative_to_steady(
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model, model.system_power().sum_baths().integrate(model.t), steady_idx
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model,
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model.system_power().sum_baths().integrate(model.t),
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steady_idx,
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)
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pu.plot_with_σ(
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inters.append(inter)
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systems.append(sys)
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times.append(t)
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if shift_min_inter:
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for i, inter in enumerate(inters):
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length = len(inter.value)
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inters[i] -= (inter.slice(slice(0, length // 3))).max.value
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for inter, sys, t in zip(inters, systems, times):
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_, _, (l, _) = pu.plot_with_σ(
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t,
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-1 * inter,
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ax=ax,
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@ -562,14 +581,13 @@ def plot_steady_energy_changes(
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-1 * sys,
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ax=ax,
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label=rf"$W_\mathrm{{sys}}$ {label_fn(model)}",
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color=l[0].get_color(),
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)
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ax.set_xlabel(r"$\tau$")
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ax.set_ylabel(r"$W$")
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ax.legend()
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return fig, ax
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def add_arrow(line, start_ind=None, direction="right", size=15, color=None):
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"""
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Before Width: | Height: | Size: 61 KiB After Width: | Height: | Size: 61 KiB |
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|
@ -72,7 +72,7 @@ We shift so that we just overlap with coupling/decoupling and one above.
|
|||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:./.ob-jupyter/9539a8052b29a424457aba4eec6b42c541f6397d.svg]]
|
||||
[[file:./.ob-jupyter/e122e9a030752646c3d53d464178cd9143979a0c.svg]]
|
||||
|
||||
#+begin_src jupyter-python :tangle no
|
||||
#ot.plot_cycles(models, bath=0, legend=True)
|
||||
|
|
@ -96,7 +96,7 @@ We shift so that we just overlap with coupling/decoupling and one above.
|
|||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:./.ob-jupyter/4fe2e98f22e91318106161009f976e368454aeef.svg]]
|
||||
[[file:./.ob-jupyter/f4f995784e7b5f8314ee907acd62a68185efebab.svg]]
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||||
** Integrate
|
||||
Here we integrate/simulate the models. This should be run on the
|
||||
|
|
@ -360,9 +360,9 @@ Let's attempt to draw the p_v diagrams :).
|
|||
|
||||
#+RESULTS:
|
||||
:RESULTS:
|
||||
[[file:./.ob-jupyter/ff029c620364e92b39002f58ac30f62505ec44cc.svg]]
|
||||
[[file:./.ob-jupyter/077b314b8737de056775acf18981e51ce94fa2e8.svg]]
|
||||
[[file:./.ob-jupyter/b4e936615392f4aecf6b8bd516d7e23c7909b6b6.svg]]
|
||||
[[file:./.ob-jupyter/a1bd8ac6fa5779521f06e09731c10b618eb2babc.svg]]
|
||||
[[file:./.ob-jupyter/128450a66f59fbc816a46550744b36dc8b050df4.svg]]
|
||||
[[file:./.ob-jupyter/dd472947254bd8cb7cb15a036cc74ff869fe0894.svg]]
|
||||
:END:
|
||||
|
||||
|
||||
|
|
@ -432,7 +432,7 @@ and the best shift model.
|
|||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:./.ob-jupyter/e608e2c2a7a9d9e6f4cad0850d34750cb5b2370d.svg]]
|
||||
[[file:./.ob-jupyter/43de193d11e61247fd90492755846d0d6d396527.svg]]
|
||||
|
||||
|
||||
Let us plot the interaction power in the steady state for baseline and
|
||||
|
|
@ -486,7 +486,7 @@ best-shift. We have to shift the time to make them overlap correctly.
|
|||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:./.ob-jupyter/c5fd49dc546f772a5d74cd2c6f2dbca28bd3ae4c.svg]]
|
||||
[[file:./.ob-jupyter/952468b4e90f6a5338b6661315390604bb1e3fbb.svg]]
|
||||
|
||||
|
||||
Let us zoom in on the cold bath decoupling process to understnad this better.
|
||||
|
|
@ -528,7 +528,7 @@ Let us zoom in on the cold bath decoupling process to understnad this better.
|
|||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:./.ob-jupyter/a881446b3a57bd5b58d90b080ba277d0a73603c2.svg]]
|
||||
[[file:./.ob-jupyter/bed0753a474fbbc2c31753d4d0b5679cbc251257.svg]]
|
||||
|
||||
How does this look like for the baseline?
|
||||
#+begin_src jupyter-python
|
||||
|
|
@ -715,7 +715,7 @@ Now let's try to find out why the efficiency improved.
|
|||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:./.ob-jupyter/72c3ba490d2e16a7bd5a6a3e7668ff6b987875d4.svg]]
|
||||
[[file:./.ob-jupyter/cf4d1c4bc54bdc9722dda5b6367c939a8e407cb7.svg]]
|
||||
Way less energy is dumped into the cold bath.
|
||||
#+begin_src jupyter-python
|
||||
t, rel_short_cold = ot.val_relative_to_steady(
|
||||
|
|
@ -821,33 +821,7 @@ The last section gave me the hunch, that only this shift matters.
|
|||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:./.ob-jupyter/a5c930cf77d5c776b8f2d3881a01ff89ad7cf9de.svg]]
|
||||
|
||||
|
||||
#+begin_src jupyter-python
|
||||
from itertools import cycle
|
||||
lines = ["--","-.",":", "-"]
|
||||
linecycler = cycle(lines)
|
||||
fig, ax = plt.subplots()
|
||||
t = np.linspace(0, models[0].Θ, 1000)
|
||||
#l, = ax.plot(t, models[0].H.operator_norm(t)/2-.5, linewidth=3, color="lightgrey")
|
||||
l, = ax.plot(t, cold_models[3].coupling_operators[1].operator_norm(t), linewidth=3, color="lightgrey")
|
||||
legend_1 = ax.legend([l], [r"$(||H||-1)/2$"], loc="center left", title="Reference")
|
||||
from cycler import cycler
|
||||
for model in cold_models:
|
||||
ax.plot(t, model.coupling_operators[0].operator_norm(t), label=fr"${model.L_shift[0] * 100:.0f}\%$", linestyle=(next(linecycler)))
|
||||
ax.legend(title=r"Shift of $L_h$", fontsize="x-small", ncols=2)
|
||||
ax.set_xlabel(r"$\tau$")
|
||||
ax.set_ylabel(r"Operator Norm")
|
||||
ax.add_artist(legend_1)
|
||||
ax.set_xlim((0, models[0].Θ))
|
||||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
:RESULTS:
|
||||
| 0.0 | 60.0 |
|
||||
[[file:./.ob-jupyter/2b6c3455da6682ae90a0765f77fcca1c62e56577.svg]]
|
||||
:END:
|
||||
[[file:./.ob-jupyter/b9350f0147ff6d524439bf3a2e2fc716cf072004.svg]]
|
||||
|
||||
*** Analysis
|
||||
Let's contrast all three protocols.
|
||||
|
|
@ -891,6 +865,56 @@ And do it again, but in a more convenient format.
|
|||
#+RESULTS:
|
||||
: 0.18
|
||||
|
||||
|
||||
Let's display the energy-dynamics in the steady state.
|
||||
#+begin_src jupyter-python
|
||||
fig, ax =ot.plot_steady_energy_changes([best_cold_model], 2, label_fn=lambda m: "")
|
||||
ax.legend(loc="lower left")
|
||||
|
||||
fs.export_fig("steady_energy_dynamics_slow_only_cold_shifted", y_scaling=.7)
|
||||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:./.ob-jupyter/fe91c3d2cab29c468cd1392161bd6c78665aec6e.svg]]
|
||||
|
||||
#+begin_src jupyter-python
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
names = {
|
||||
baseline.hexhash: "Otto-Cycle",
|
||||
best_shift_model.hexhash: "Shifted Strokes",
|
||||
best_long_model.hexhash: "Slow Modulation + Both Strokes Shifted",
|
||||
best_cold_model.hexhash: "Slow Modulation + Cold Stroke Shifted",
|
||||
}
|
||||
|
||||
# Increase the size of the plot
|
||||
fig, ax = plt.subplots(figsize=(15, 6))
|
||||
|
||||
# Assuming ot.plot_steady_energy_changes returns a Line2D object for each line
|
||||
lines = ot.plot_steady_energy_changes(
|
||||
[baseline, best_shift_model, best_long_model, best_cold_model],
|
||||
2,
|
||||
label_fn=lambda m: names[m.hexhash],
|
||||
ax=ax,
|
||||
shift_min_inter = False
|
||||
)
|
||||
|
||||
# Move the legend outside the plot
|
||||
ax.legend(loc="lower left", bbox_to_anchor=(1, 0.5), fontsize='small')
|
||||
|
||||
|
||||
# Adjust layout to make room for the legend
|
||||
plt.tight_layout()
|
||||
|
||||
fs.export_fig("steady_energy_dynamics_all_models", y_scaling=.7)
|
||||
#+end_src
|
||||
|
||||
#+RESULTS:
|
||||
[[file:./.ob-jupyter/5b2f948c521549a31595f208a459aa8ebd16ab3c.svg]]
|
||||
|
||||
|
||||
|
||||
|
||||
**** Check Numerics
|
||||
#+begin_src jupyter-python
|
||||
ot.plot_energy_deviation([best_cold_model, baseline])
|
||||
|
|
@ -951,8 +975,8 @@ plt.plot(best_cold_model.t, best_cold_model.H.operator_norm(best_cold_model.t))
|
|||
|
||||
#+RESULTS:
|
||||
:RESULTS:
|
||||
| <matplotlib.lines.Line2D | at | 0x7fe87424f4c0> |
|
||||
[[file:./.ob-jupyter/08dc9da54b0f64215891ece89107f7a304627821.svg]]
|
||||
| <matplotlib.lines.Line2D | at | 0x7f4a24fbf7c0> |
|
||||
[[file:./.ob-jupyter/70e6c82d904829fcfd19fcc1032564643a489a0f.svg]]
|
||||
:END:
|
||||
|
||||
#+begin_src jupyter-python
|
||||
|
|
@ -967,9 +991,9 @@ plt.plot(best_cold_model.t, best_cold_model.H.operator_norm(best_cold_model.t))
|
|||
|
||||
#+RESULTS:
|
||||
:RESULTS:
|
||||
[[file:./.ob-jupyter/468a217425236ab484094b747391eebf9c8967e1.svg]]
|
||||
[[file:./.ob-jupyter/87f486eae8a8ac48bc846322ac444590a6a9aed1.svg]]
|
||||
[[file:./.ob-jupyter/5f284414a8dc0e135a04eb333a7400f334beb519.svg]]
|
||||
[[file:./.ob-jupyter/de01830223c5d4bacd4c09f963ce3f06a76901ae.svg]]
|
||||
[[file:./.ob-jupyter/061672bcaafe9e32f8ee1a72bb0ece3a82083ccb.svg]]
|
||||
[[file:./.ob-jupyter/4a695cc2d74765c6386be4a5309067bc566d2ca6.svg]]
|
||||
:END:
|
||||
|
||||
|
||||
|
|
|
|||
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|
|
@ -333,23 +333,6 @@ fs.export_fig("hot_vs_cold_bath", y_scaling=.7)
|
|||
|
||||
#aux.import_results(other_data_path="taurus/.data", other_results_path="taurus/results", models_to_import=cold_models)
|
||||
|
||||
from itertools import cycle
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lines = ["--","-.",":", "-"]
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linecycler = cycle(lines)
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fig, ax = plt.subplots()
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t = np.linspace(0, models[0].Θ, 1000)
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#l, = ax.plot(t, models[0].H.operator_norm(t)/2-.5, linewidth=3, color="lightgrey")
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l, = ax.plot(t, cold_models[3].coupling_operators[1].operator_norm(t), linewidth=3, color="lightgrey")
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legend_1 = ax.legend([l], [r"$(||H||-1)/2$"], loc="center left", title="Reference")
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from cycler import cycler
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for model in cold_models:
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ax.plot(t, model.coupling_operators[0].operator_norm(t), label=fr"${model.L_shift[0] * 100:.0f}\%$", linestyle=(next(linecycler)))
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ax.legend(title=r"Shift of $L_h$", fontsize="x-small", ncols=2)
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ax.set_xlabel(r"$\tau$")
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||||
ax.set_ylabel(r"Operator Norm")
|
||||
ax.add_artist(legend_1)
|
||||
ax.set_xlim((0, models[0].Θ))
|
||||
|
||||
fig, (ax2, ax1, ax3) = plt.subplots(nrows=1, ncols=3)
|
||||
_, ax1_right = ot.plot_powers_and_efficiencies(np.array(shifts) * 100, cold_models, xlabel="Cycle Shift", ax=ax1)[2]
|
||||
_, ax2_right = ot.plot_powers_and_efficiencies(np.array(shifts) * 100, long_models, xlabel="Cycle Shift", ax=ax2)[2]
|
||||
|
|
@ -373,6 +356,41 @@ best_cold_shift = shifts[np.argmax([-model.power(steady_idx=2).value for model i
|
|||
best_cold_model = sc.make_model(best_cold_shift, best_cold_shift, switch_t=6., only_cold=True)
|
||||
best_cold_shift
|
||||
|
||||
fig, ax =ot.plot_steady_energy_changes([best_cold_model], 2, label_fn=lambda m: "")
|
||||
ax.legend(loc="lower left")
|
||||
|
||||
fs.export_fig("steady_energy_dynamics_slow_only_cold_shifted", y_scaling=.7)
|
||||
|
||||
import matplotlib.pyplot as plt
|
||||
|
||||
names = {
|
||||
baseline.hexhash: "Otto-Cycle",
|
||||
best_shift_model.hexhash: "Shifted Strokes",
|
||||
best_long_model.hexhash: "Slow Modulation + Both Strokes Shifted",
|
||||
best_cold_model.hexhash: "Slow Modulation + Cold Stroke Shifted",
|
||||
}
|
||||
|
||||
# Increase the size of the plot
|
||||
fig, ax = plt.subplots(figsize=(15, 6))
|
||||
|
||||
# Assuming ot.plot_steady_energy_changes returns a Line2D object for each line
|
||||
lines = ot.plot_steady_energy_changes(
|
||||
[baseline, best_shift_model, best_long_model, best_cold_model],
|
||||
2,
|
||||
label_fn=lambda m: names[m.hexhash],
|
||||
ax=ax,
|
||||
shift_min_inter = False
|
||||
)
|
||||
|
||||
# Move the legend outside the plot
|
||||
ax.legend(loc="lower left", bbox_to_anchor=(1, 0.5), fontsize='small')
|
||||
|
||||
|
||||
# Adjust layout to make room for the legend
|
||||
plt.tight_layout()
|
||||
|
||||
fs.export_fig("steady_energy_dynamics_all_models", y_scaling=.7)
|
||||
|
||||
ot.plot_energy_deviation([best_cold_model, baseline])
|
||||
|
||||
ints = baseline.interaction_energy().for_bath(1).value
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue