From d5e74d718ed4857a555b77f734b56d61f9f50b3a Mon Sep 17 00:00:00 2001 From: Valentin Boettcher Date: Fri, 31 May 2024 19:02:23 -0400 Subject: [PATCH] get rid of that d/2 nonsense --- .../005_mean_displacement_semi_analytic.py | 104 +++++++++++ .../001_full_system_rwa_analysis.py | 18 +- scripts/simulations/figs/001_decay_test.pdf | Bin 147204 -> 389387 bytes .../figs/001_decay_test.pdf.meta.yaml | 175 ++++++++++++++---- scripts/simulations/figs/001_decay_test.png | Bin 1496367 -> 2691295 bytes .../outputs/001_decay_test.pkl.meta.yaml | 175 ++++++++++++++---- src/rabifun/system.py | 49 +++-- 7 files changed, 423 insertions(+), 98 deletions(-) create mode 100644 scripts/experiments/005_mean_displacement_semi_analytic.py diff --git a/scripts/experiments/005_mean_displacement_semi_analytic.py b/scripts/experiments/005_mean_displacement_semi_analytic.py new file mode 100644 index 0000000..4e3434a --- /dev/null +++ b/scripts/experiments/005_mean_displacement_semi_analytic.py @@ -0,0 +1,104 @@ +""" +Just a quick hack prior to the re-calculation of the full phase +diagram. +""" + +import numpy as np +from rabifun.system import * +from rabifun.plots import * +from rabifun.utilities import * +import scipy +import matplotlib.pyplot as plt + + +def self_energy(ω, g, ε): + """ + Calculate the self-energy of the system. + + :param g: The coupling strengths. + :param ε: The bath energies. + """ + return np.sum(np.abs(g[None, :] / (ω[:, None] - ε[None, :])) ** 2, axis=1) + + +def coefficients(ω, g, ε): + coeff = 1 / (1 + self_energy(ω, g, ε)) + + return coeff / np.sum((coeff)) + + +def characteristic_poly(g: np.ndarray, ε: np.ndarray, η_A: float = 0): + g2 = np.abs(g) ** 2 + + def poly(ω): + s = ω[0] + ω[1] * 1j + res = s + 1j * η_A - np.sum(g2 / (s - ε)) + return (res * res.conjugate()).real + + return poly + + +def hamiltonian(g: np.ndarray, ε: np.ndarray, η_A: float = 0): + H = np.diag([-1j * η_A, *ε]) + H[0, 1:] = g + H[1:, 0] = np.conj(g) + return H + + +def a_site_population(t, ω, coeff): + return ( + np.abs(np.sum(coeff[None, :] * np.exp(-1j * ω[None, :] * t[:, None]), axis=1)) + ** 2 + ) + + +def make_params(ω_c=0.1 / 2, N=10, gbar=1 / 3): + """ + Make a set of parameters for the system with the current + best-known settings. + """ + return Params( + η=0.5, + Ω=13, + δ=1 / 4, + ω_c=ω_c, + g_0=ω_c * gbar, + laser_detuning=0, + N=2 * N + 2, + N_couplings=N, + measurement_detuning=0, + α=0, + rwa=False, + flat_energies=False, + correct_lamb_shift=True, + laser_off_time=0, + ) + + +def test(): + params = make_params(N=10, gbar=1 / 3) + params.flat_energies = False + params.α = 0.0 + params.correct_lamb_shift = True + + runtime = RuntimeParams(params) + t = time_axis(params, recurrences=1.5) + g = runtime.g / 2 + ε = runtime.bath_ε + H = hamiltonian(g, ε.real, 0 * params.η / 2) + + ω = np.linalg.eigvals(H) + M = np.linalg.eig(H).eigenvectors + Minv = np.linalg.inv(M) + v0 = Minv[:, 0] + + coeff = M[0, :] * v0.T + print(coeff) + + # coeff /= np.abs(np.sum(coeff)) + # coeff = coefficients(ω, g, ε) + + plt.cla() + plt.plot(t, a_site_population(t, ω, coeff)) + plt.ylim(0, 1) + return ω diff --git a/scripts/simulations/001_full_system_rwa_analysis.py b/scripts/simulations/001_full_system_rwa_analysis.py index 7702c7d..08e5c93 100644 --- a/scripts/simulations/001_full_system_rwa_analysis.py +++ b/scripts/simulations/001_full_system_rwa_analysis.py @@ -5,7 +5,7 @@ import itertools # %% interactive -def make_params(ω_c=0.1 / 2, N=10, gbar=1 / 3): +def make_params(ω_c=0.1 / 2, N=10, gbar=1 / 3, compensate=2): """ Make a set of parameters for the system with the current best-known settings. @@ -23,7 +23,7 @@ def make_params(ω_c=0.1 / 2, N=10, gbar=1 / 3): α=0, rwa=False, flat_energies=False, - correct_lamb_shift=True, + correct_lamb_shift=compensate, laser_off_time=0, ) @@ -45,7 +45,7 @@ def decay_rwa_analysis(): ω_c = 0.05 Ns = [5, 10, 20] - gbar = 1 / 3 + gbar = 1 / 3 / 2 fig = make_figure("decay_test", figsize=(15, len(Ns) * 3)) ax_ns = fig.subplots(len(Ns), 2) @@ -57,7 +57,7 @@ def decay_rwa_analysis(): for i, N in enumerate(Ns): params = make_params(ω_c=ω_c, N=N, gbar=gbar) - params.laser_off_time = params.lifetimes(0) + params.laser_off_time = 0 params.initial_state = make_zero_intial_state(params) params.initial_state[1] = 1 @@ -65,9 +65,9 @@ def decay_rwa_analysis(): ax_real, ax_corrected = ax_ns[i] - t = time_axis(params, recurrence_time(params) * 1.1 / params.lifetimes(1), 0.1) + t = time_axis(params, recurrences=1.1, resolution=0.1) - for α in [0, 2]: + for α in np.linspace(0, 2, 5): params.α = α sol_nonrwa, sol_rwa = solve_nonrwa_rwa(t, params) @@ -75,6 +75,7 @@ def decay_rwa_analysis(): results[(N, α, False)] = sol_nonrwa param_dict[(N, α)] = params + color = None for correct, rwa in itertools.product([True, False], [True, False]): sol = sol_rwa if rwa else sol_nonrwa ax = ax_corrected if correct else ax_real @@ -82,14 +83,15 @@ def decay_rwa_analysis(): if correct: y = correct_for_decay(sol, params) 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6ec1859dba940a2ada3aefedc5adea2cb436339f -description: 'RESULTS: make some nice demos' +change_id: wykwpsvmtrzvwtunotxnzokztpyrnsrx +commit_id: 94f23ecee30914b5163f14fd5af637a8777b42cc +description: '' extra_meta: Ns: - 5 @@ -9,20 +9,36 @@ extra_meta: params: ? !!python/tuple - 5 - - 0 - : &id001 !!python/object:rabifun.system.Params + - !!python/object/apply:numpy.core.multiarray.scalar + - &id001 !!python/object/apply:numpy.dtype + args: + - f8 + - false + - true + state: !!python/tuple + - 3 + - < + - null + - null + - null + - -1 + - -1 + - 0 + - !!binary | + AAAAAAAAAAA= + : &id002 !!python/object:rabifun.system.Params N: 12 N_couplings: 5 - correct_lamb_shift: true + correct_lamb_shift: 2 drive_off_time: null - dynamic_detunting: &id002 !!python/tuple + dynamic_detunting: &id003 !!python/tuple - 0 - 0 flat_energies: false - g_0: 0.016666666666666666 + g_0: 0.008333333333333333 initial_state: !!python/object/apply:numpy.core.multiarray._reconstruct args: - - &id003 !!python/name:numpy.ndarray '' + - &id004 !!python/name:numpy.ndarray '' - !!python/tuple - 0 - !!binary | @@ -31,7 +47,7 @@ extra_meta: - 1 - !!python/tuple - 14 - - &id004 !!python/object/apply:numpy.dtype + - &id005 !!python/object/apply:numpy.dtype args: - c16 - false @@ -52,32 +68,62 @@ extra_meta: AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA= laser_detuning: 0 - laser_off_time: 0.0 + laser_off_time: 0 measurement_detuning: 0 rwa: false "\u03A9": 13 - "\u03B1": 2 + "\u03B1": !!python/object/apply:numpy.core.multiarray.scalar + - *id001 + - !!binary | + AAAAAAAAAEA= "\u03B4": 0.25 "\u03B7": 0.5 "\u03C9_c": 0.05 ? !!python/tuple - 5 - - 2 - : *id001 + - !!python/object/apply:numpy.core.multiarray.scalar + - *id001 + - !!binary | + AAAAAAAA4D8= + : *id002 + ? !!python/tuple + - 5 + - !!python/object/apply:numpy.core.multiarray.scalar + - *id001 + - !!binary | + AAAAAAAA8D8= + : *id002 + ? !!python/tuple + - 5 + - !!python/object/apply:numpy.core.multiarray.scalar + - *id001 + - !!binary | + AAAAAAAA+D8= + : *id002 + ? !!python/tuple + - 5 + - !!python/object/apply:numpy.core.multiarray.scalar + - *id001 + - !!binary | + AAAAAAAAAEA= + : *id002 ? !!python/tuple - 10 - - 0 - : &id005 !!python/object:rabifun.system.Params + - !!python/object/apply:numpy.core.multiarray.scalar + - *id001 + - !!binary | + AAAAAAAAAAA= + : &id006 !!python/object:rabifun.system.Params N: 22 N_couplings: 10 - correct_lamb_shift: true + correct_lamb_shift: 2 drive_off_time: null - dynamic_detunting: *id002 + dynamic_detunting: *id003 flat_energies: false - g_0: 0.016666666666666666 + g_0: 0.008333333333333333 initial_state: !!python/object/apply:numpy.core.multiarray._reconstruct args: - - *id003 + - *id004 - !!python/tuple - 0 - !!binary | @@ -86,7 +132,7 @@ extra_meta: - 1 - !!python/tuple - 24 - - *id004 + - *id005 - false - !!binary | 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!!python/object/apply:numpy.core.multiarray.scalar + - *id001 + - !!binary | + AAAAAAAAAEA= + : *id006 ? !!python/tuple - 20 - - 0 - : &id006 !!python/object:rabifun.system.Params + - !!python/object/apply:numpy.core.multiarray.scalar + - *id001 + - !!binary | + AAAAAAAAAAA= + : &id007 !!python/object:rabifun.system.Params N: 42 N_couplings: 20 - correct_lamb_shift: true + correct_lamb_shift: 2 drive_off_time: null - dynamic_detunting: *id002 + dynamic_detunting: *id003 flat_energies: false - g_0: 0.016666666666666666 + g_0: 0.008333333333333333 initial_state: !!python/object/apply:numpy.core.multiarray._reconstruct args: - - *id003 + - *id004 - !!python/tuple - 0 - !!binary | @@ -131,7 +207,7 @@ extra_meta: - 1 - !!python/tuple - 44 - - *id004 + - *id005 - false - !!binary | AAAAAAAAAAAAAAAAAAAAAAAAAAAAAPA/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA @@ -148,18 +224,45 @@ extra_meta: AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 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