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January 15, 2019 20:29
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{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Analyze the details of the adiabatic dynamics and energy levels" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"attributes": { | |
"classes": [], | |
"id": "", | |
"n": "8" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"import os\n", | |
"import pickle\n", | |
"from collections import OrderedDict\n", | |
"from os.path import join\n", | |
"\n", | |
"import matplotlib.pylab as plt\n", | |
"import numpy as np\n", | |
"import QDYN\n", | |
"import sympy as sp" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": { | |
"attributes": { | |
"classes": [], | |
"id": "", | |
"n": "2" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"from src.pulse_shapes import linear_ramp, flattop_blackman\n", | |
"from src.plots import plot_mesolve_pops\n", | |
"from src.qutip_utils import qutip_hamiltonian\n", | |
"from src.simplex_mirror_fixed_time import (\n", | |
" simplex_mirror,\n", | |
" simulate,\n", | |
" get_symbols,\n", | |
" get_f_val,\n", | |
" get_pulses,\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2018-02-28T02:06:21.919820Z", | |
"start_time": "2018-02-28T02:06:21.841680Z" | |
}, | |
"attributes": { | |
"classes": [], | |
"id": "", | |
"n": "3" | |
}, | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"sp.init_printing()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2018-02-28T02:06:21.970160Z", | |
"start_time": "2018-02-28T02:06:21.923028Z" | |
}, | |
"attributes": { | |
"classes": [], | |
"id": "", | |
"n": "4" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"%load_ext autoreload\n", | |
"%autoreload 2" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Symbols" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"attributes": { | |
"classes": [], | |
"id": "", | |
"n": "5" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"def define_symbols():\n", | |
" ω, ωL = sp.symbols('omega_k, omega_L', positive=True)\n", | |
" ϕ = sp.symbols('phi', real=True)\n", | |
" # ϵ = sp.symbols('epsilon', cls=sp.Function)\n", | |
" t, t0 = sp.symbols('t, t_0', positive=True)\n", | |
" μ = sp.symbols('mu', positive=True)\n", | |
"\n", | |
" class S(sp.Function): # shape function\n", | |
" name = 'S'\n", | |
" is_real = True\n", | |
" is_positive = True\n", | |
"\n", | |
" class ϵ(sp.Function): # pulse form\n", | |
" name = 'epsilon'\n", | |
" is_real = True\n", | |
"\n", | |
" class R(sp.Function): # linear ramp\n", | |
" name = 'R'\n", | |
" is_real = True\n", | |
"\n", | |
" r = sp.symbols('r', real=True) # chirprate\n", | |
" Δ0 = sp.symbols('Delta_0', real=True)\n", | |
" Δ = sp.symbols('Delta', cls=sp.Function)\n", | |
" return (ω, ωL, ϕ, t, t0, μ, S, ϵ, R, r, Δ0, Δ)\n", | |
"\n", | |
"\n", | |
"syms = define_symbols()\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"source": [ | |
"## Optimization" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2018-02-28T02:09:53.892966Z", | |
"start_time": "2018-02-28T02:09:53.840481Z" | |
}, | |
"collapsed": true, | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"def incl_range(a, b, step=1):\n", | |
" e = 1 if step > 0 else -1\n", | |
" return range(a, b + e, step)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"n_target = 10" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"t_rise = 25\n", | |
"# T = 140\n", | |
"T = 50 + 19 * n_target\n", | |
"alpha = -0.1\n", | |
"t_c = 10.0\n", | |
"E0 = 0.6\n", | |
"x0 = (alpha, t_c, E0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": { | |
"ExecuteTime": { | |
"end_time": "2018-02-28T02:09:55.530772Z", | |
"start_time": "2018-02-28T02:09:55.497725Z" | |
} | |
}, | |
"outputs": [], | |
"source": [ | |
"num_vals = {get_symbols(syms, 'omega_k')[0]: 1}\n", | |
"num_vals['T'] = T\n", | |
"num_vals['t_rise'] = t_rise\n", | |
"nt = 7000" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"rf = './rf_adiabatic_analysis_simplex'\n", | |
"dump_file = join(rf, 'res.dump')\n", | |
"if os.path.isfile(dump_file):\n", | |
" with open(dump_file, 'rb') as dump_fh:\n", | |
" res = pickle.load(dump_fh)\n", | |
"else:\n", | |
" res = simplex_mirror(\n", | |
" rf,\n", | |
" syms,\n", | |
" num_vals,\n", | |
" n_target,\n", | |
" x0,\n", | |
" nt,\n", | |
" delta_0=0,\n", | |
" executable='qdyn_prop_traj',\n", | |
" )\n", | |
" with open(dump_file, 'wb') as dump_fh:\n", | |
" pickle.dump(res, dump_fh)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"# alpha, t_c, E0\n", | |
"alpha, t_c, E0 = res.x * x0" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"rf = './rf_adiabatic_analysis_prop'\n", | |
"result_x = simulate(\n", | |
" syms,\n", | |
" num_vals,\n", | |
" n_target,\n", | |
" res.x * x0,\n", | |
" nt,\n", | |
" delta_0=0,\n", | |
" executable='qdyn_prop_traj',\n", | |
" rf=rf,\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"source": [ | |
"## Analysis of Energy Levels\n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"pulses_x = get_pulses(res.x * x0, nt, T, t_rise, delta_0=0, keys=['S', 'R'])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"def analytical_energy_levels(R_pulse, n_vals):\n", | |
" tgrid = R_pulse.tgrid\n", | |
" res = []\n", | |
" for n in n_vals:\n", | |
" chirp = R_pulse.amplitude\n", | |
" E = n ** 2 + chirp * n\n", | |
" res.append(E)\n", | |
" return res" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 16, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"E_levels = analytical_energy_levels(\n", | |
" pulses_x['R'], list(range(0, n_target + 1))\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 17, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"def find_crossing(E_levels, tgrid, n):\n", | |
" \"\"\"Numerically find the point where E_levels[n] crosses E_levels[n-1]\"\"\"\n", | |
" i_t = np.argmin(np.abs(E_levels[n] - E_levels[n - 1]))\n", | |
" return tgrid[i_t]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 18, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"def analytical_crossing(alpha, t_c, n):\n", | |
" return ((1 - 2 * n) / alpha) + t_c" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 19, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"def E_n_cross(n):\n", | |
" return n - n * n" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 20, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"def print_crossing_table():\n", | |
" alpha, t_c, E0 = res.x * x0\n", | |
" print(\n", | |
" \"%2s%12s%12s%12s%12s\"\n", | |
" % (\"n\", \"t_n (num)\", \"τ_b (num)\", \"t_n (anal)\", \"τ_b (anal)\")\n", | |
" )\n", | |
" for n in range(1, 11):\n", | |
" t_n_num = find_crossing(E_levels, pulses_x['R'].tgrid, n)\n", | |
" delta_num = (\n", | |
" t_n_num - find_crossing(E_levels, pulses_x['R'].tgrid, n - 1)\n", | |
" if n > 1\n", | |
" else t_n_num\n", | |
" )\n", | |
" t_n_anal = analytical_crossing(alpha, t_c, n)\n", | |
" delta_anal = (\n", | |
" t_n_anal - analytical_crossing(alpha, t_c, n - 1)\n", | |
" if n > 1\n", | |
" else t_n_anal\n", | |
" )\n", | |
" print(\n", | |
" \"%2d%12.3f%12.3f%12.3f%12.3f\"\n", | |
" % (n, t_n_num, delta_num, t_n_anal, delta_anal)\n", | |
" )" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 21, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
" n t_n (num) τ_b (num) t_n (anal) τ_b (anal)\n", | |
" 1 18.980 18.980 18.979 18.979\n", | |
" 2 41.303 22.323 41.320 22.340\n", | |
" 3 63.661 22.357 63.660 22.340\n", | |
" 4 85.984 22.323 86.001 22.340\n", | |
" 5 108.341 22.357 108.341 22.340\n", | |
" 6 130.699 22.357 130.682 22.340\n", | |
" 7 153.022 22.323 153.022 22.340\n", | |
" 8 175.379 22.357 175.363 22.340\n", | |
" 9 197.703 22.323 197.703 22.340\n", | |
"10 220.060 22.357 220.044 22.340\n" | |
] | |
} | |
], | |
"source": [ | |
"print_crossing_table()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 22, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"τ_b = -22.3404971021\n" | |
] | |
} | |
], | |
"source": [ | |
"print(\"τ_b = \", 2 / (res.x * x0)[0])" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 23, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/latex": [ | |
"$$19.9564611675$$" | |
], | |
"text/plain": [ | |
"19.956461167468319" | |
] | |
}, | |
"execution_count": 23, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"T - analytical_crossing(alpha, t_c, 10)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Transformation to the Moving Frame" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 24, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def solve_for_moving_frame_shift(return_type='sols'):\n", | |
" \"\"\"Solve quadratic polynomials ansatz\"\"\"\n", | |
" t, t_c = sp.symbols('t, t_c', positive=True)\n", | |
" a, b, c, α = sp.symbols('a, b, c, alpha', real=True)\n", | |
" # Ansatz rhs\n", | |
" ansatz = a * t**2 + b * t + c\n", | |
" # Eq 1: η(t₁) = E_1\n", | |
" t_n = lambda n: ((1 - 2 * n) / α) + t_c\n", | |
" E_n = lambda n: n - n**2\n", | |
" lhs1 = ansatz.subs({t: t_n(n=1)})\n", | |
" rhs1 = E_n(n=1)\n", | |
" # Eq 2: η(t₂) = E₂\n", | |
" lhs2 = ansatz.subs({t: t_n(n=2)})\n", | |
" rhs2 = E_n(n=2)\n", | |
" # Eq 3: η(t₃) = E₃\n", | |
" lhs3 = ansatz.subs({t: t_n(n=3)})\n", | |
" rhs3 = E_n(n=3)\n", | |
" # solve\n", | |
" sols = sp.solve([lhs1-rhs1, lhs2-rhs2, lhs3-rhs3], (a, b, c))\n", | |
" if return_type == 'sols':\n", | |
" return sols\n", | |
" elif return_type == 'formula':\n", | |
" return ansatz.subs(sols)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 25, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/latex": [ | |
"$$\\left \\{ a : - \\frac{\\alpha^{2}}{4}, \\quad b : \\frac{\\alpha^{2} t_{c}}{2}, \\quad c : - \\frac{\\alpha^{2} t_{c}^{2}}{4} + \\frac{1}{4}\\right \\}$$" | |
], | |
"text/plain": [ | |
"⎧ 2 2 2 2 ⎫\n", | |
"⎪ -α α ⋅t_c α ⋅t_c 1⎪\n", | |
"⎨a: ────, b: ──────, c: - ─────── + ─⎬\n", | |
"⎪ 4 2 4 4⎪\n", | |
"⎩ ⎭" | |
] | |
}, | |
"execution_count": 25, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"solve_for_moving_frame_shift(return_type='sols')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 26, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": "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\n", | |
"text/latex": [ | |
"$$- \\frac{\\alpha^{2} t^{2}}{4} + \\frac{t t_{c}}{2} \\alpha^{2} - \\frac{\\alpha^{2} t_{c}^{2}}{4} + \\frac{1}{4}$$" | |
], | |
"text/plain": [ | |
" 2 2 2 2 2 \n", | |
" α ⋅t α ⋅t⋅t_c α ⋅t_c 1\n", | |
"- ───── + ──────── - ─────── + ─\n", | |
" 4 2 4 4" | |
] | |
}, | |
"execution_count": 26, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"solve_for_moving_frame_shift(return_type='formula')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 27, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def make_moving_frame_shift(alpha, t_c):\n", | |
" formula = solve_for_moving_frame_shift(return_type='formula')\n", | |
" t_sym, t_c_sym = sp.symbols('t, t_c', positive=True)\n", | |
" α = sp.symbols('alpha', real=True)\n", | |
" formula = formula.subs({t_c_sym: t_c, α: alpha})\n", | |
"\n", | |
" def moving_frame_shift(t):\n", | |
" return float(formula.subs({t_sym: t}))\n", | |
"\n", | |
" return moving_frame_shift" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 28, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"def incl_range(a, b, step=1):\n", | |
" e = 1 if step > 0 else -1\n", | |
" return range(a, b + e, step)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"## Visual Analysis" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 29, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [], | |
"source": [ | |
"def plot_analysis(\n", | |
" result,\n", | |
" pulses,\n", | |
" alpha,\n", | |
" t_c,\n", | |
" t_rise,\n", | |
" make_moving_frame_shift,\n", | |
" figsize=(8, 8),\n", | |
" negative_n_cutoff=0,\n", | |
" apply_moving_frame_shift=False,\n", | |
" energy_ylim=None,\n", | |
" colors=(\n", | |
" '#000000', # 0\n", | |
" '#ff7f00', # 1\n", | |
" '#e41a1c', # 2\n", | |
" '#4daf4a', # 3\n", | |
" '#984ea3', # 4\n", | |
" '#a65628', # 5\n", | |
" '#f781bf', # 6\n", | |
" '#d2d215', # 7\n", | |
" '#fb9a99', # 8\n", | |
" '#fdbf6f', # 9\n", | |
" '#377eb8', # 10\n", | |
" ),\n", | |
"):\n", | |
" \"\"\"Plot for analysis for 0→n_max adiabatic transition\"\"\"\n", | |
" fig, axs = plt.subplots(\n", | |
" nrows=4,\n", | |
" ncols=1,\n", | |
" squeeze=True,\n", | |
" sharex=True,\n", | |
" figsize=figsize,\n", | |
" gridspec_kw={'hspace': 0.15, 'height_ratios': [2, 10, 1, 2]},\n", | |
" )\n", | |
"\n", | |
" # plot the population dynamics\n", | |
" color = iter(colors)\n", | |
" ax = axs[0]\n", | |
" nt = len(result.times)\n", | |
" n = np.prod(result.states[0].shape) # size of Hilbert space\n", | |
" n_max = (n - 1) // 2\n", | |
" data = np.zeros((nt, n))\n", | |
" for it, psi in enumerate(result.states):\n", | |
" data[it, :] = (np.abs(psi.full()) ** 2).flatten()\n", | |
" offset = n_max\n", | |
" for i in incl_range(0, n_max):\n", | |
" label = str(i)\n", | |
" ax.plot(\n", | |
" result.times, data[:, i + offset], label=label, color=next(color)\n", | |
" )\n", | |
"\n", | |
" # plot the energy levels\n", | |
" moving_frame_shift = make_moving_frame_shift(alpha, t_c)\n", | |
" color = iter(colors)\n", | |
" R_pulse = pulses['R']\n", | |
" chirp = R_pulse.amplitude\n", | |
" ax = axs[1]\n", | |
" shift = np.array([moving_frame_shift(t) for t in R_pulse.tgrid])\n", | |
" for n in incl_range(0, n_max):\n", | |
" E = n ** 2 + chirp * n\n", | |
" if apply_moving_frame_shift:\n", | |
" E -= shift\n", | |
" ax.plot(R_pulse.tgrid, E, color=next(color), label=str(n))\n", | |
" # negative levels\n", | |
" color = iter(colors[1:])\n", | |
" for n in incl_range(-1, -negative_n_cutoff, -1):\n", | |
" E = n ** 2 + chirp * n\n", | |
" if apply_moving_frame_shift:\n", | |
" E -= shift\n", | |
" ax.plot(R_pulse.tgrid, E, color=next(color), ls='--')\n", | |
" # crossing markers\n", | |
" crossing_t_vals = [\n", | |
" analytical_crossing(alpha, t_c, n) for n in incl_range(1, n_max)\n", | |
" ]\n", | |
" crossing_E_vals = [n - n * n for n in incl_range(1, n_max)]\n", | |
" if apply_moving_frame_shift:\n", | |
" crossing_E_vals = [\n", | |
" E - moving_frame_shift(t)\n", | |
" for (E, t) in zip(crossing_E_vals, crossing_t_vals)\n", | |
" ]\n", | |
" ax.scatter(\n", | |
" crossing_t_vals,\n", | |
" crossing_E_vals,\n", | |
" marker='o',\n", | |
" facecolors='none',\n", | |
" edgecolors='black',\n", | |
" )\n", | |
" if apply_moving_frame_shift:\n", | |
" ax.plot(R_pulse.tgrid, shift - shift, ls='dotted', color='black')\n", | |
" else:\n", | |
" ax.plot(R_pulse.tgrid, shift, ls='dotted', color='black')\n", | |
" ax.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n", | |
" if energy_ylim is not None:\n", | |
" ax.set_ylim(energy_ylim)\n", | |
"\n", | |
" # plot the pulse shape\n", | |
" S_pulse = pulses['S']\n", | |
" ax = axs[2]\n", | |
" ax.plot(S_pulse.tgrid, np.real(S_pulse.amplitude))\n", | |
"\n", | |
" # plot the chirp ramp\n", | |
" ax = axs[3]\n", | |
" ax.plot(R_pulse.tgrid, np.real(R_pulse.amplitude))\n", | |
" ax.axhline(y=0, lw=0.5, color='black')\n", | |
"\n", | |
" # marker lines, highlight regions, and labels\n", | |
" T = float(R_pulse.T)\n", | |
" ax.set_xlim(0, T)\n", | |
" for (i, ax) in enumerate(axs):\n", | |
" if i > 0:\n", | |
" ax.axvline(x=t_c, lw=0.5, ls='-', color='black')\n", | |
" if i > 1:\n", | |
" ax.axvline(x=t_rise, lw=0.5, ls='-', color='blue')\n", | |
" ax.axvline(x=(T - t_rise), lw=0.5, ls='-', color='blue')\n", | |
" for n in incl_range(1, n_max):\n", | |
" t_n = analytical_crossing(alpha, t_c, n)\n", | |
" ax.axvline(x=t_n, lw=0.5, ls='--', color='black')\n", | |
" if i <= 1:\n", | |
" trans = ax.get_xaxis_transform()\n", | |
" ax.annotate(\n", | |
" r'$t_{%d}$' % n,\n", | |
" xy=(t_n, 0),\n", | |
" horizontalalignment='center',\n", | |
" verticalalignment='top',\n", | |
" xycoords=trans,\n", | |
" #xytext=(0, -5),\n", | |
" #textcoords='offset points',\n", | |
" )\n", | |
" t_from_initial = analytical_crossing(alpha, t_c, 2)\n", | |
" t_to_target = analytical_crossing(alpha, t_c, n_max - 1)\n", | |
" ax.axvspan(0, t_from_initial, color='gray', alpha=0.2)\n", | |
" ax.axvspan(t_to_target, T, color='gray', alpha=0.2)\n", | |
" tau_B = -2 / alpha\n", | |
" axs[0].annotate(\n", | |
" r'',\n", | |
" xy=(0, 1.15),\n", | |
" xytext=(t_c + tau_B / 2, 1.15),\n", | |
" xycoords='data',\n", | |
" arrowprops={'arrowstyle': '<->'},\n", | |
" annotation_clip=False,\n", | |
" )\n", | |
" axs[0].annotate(\n", | |
" r'$t_c + \\frac{\\tau_B}{2}$',\n", | |
" xy=(0.5 * (t_c + tau_B / 2), 1.15),\n", | |
" xycoords='data',\n", | |
" xytext=(0, 8),\n", | |
" textcoords='offset points',\n", | |
" ha='center',\n", | |
" annotation_clip=False,\n", | |
" )\n", | |
" axs[0].annotate(\n", | |
" r'',\n", | |
" xy=(t_c + tau_B / 2, 1.15),\n", | |
" xytext=(t_c + 3 * tau_B / 2, 1.15),\n", | |
" xycoords='data',\n", | |
" arrowprops={'arrowstyle': '<->'},\n", | |
" annotation_clip=False,\n", | |
" )\n", | |
" axs[0].annotate(\n", | |
" r'$\\tau_B = \\frac{2}{|\\alpha|}$',\n", | |
" xy=(t_c + tau_B, 1.15),\n", | |
" xycoords='data',\n", | |
" xytext=(0, 8),\n", | |
" textcoords='offset points',\n", | |
" ha='center',\n", | |
" annotation_clip=False,\n", | |
" )\n", | |
"\n", | |
" plt.show(fig)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 30, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 576x576 with 4 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plot_analysis(\n", | |
" result_x,\n", | |
" pulses_x,\n", | |
" alpha=(res.x * x0)[0],\n", | |
" t_c=(res.x * x0)[1],\n", | |
" t_rise=t_rise,\n", | |
" negative_n_cutoff=3,\n", | |
" make_moving_frame_shift=make_moving_frame_shift,\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 31, | |
"metadata": { | |
"lines_to_next_cell": 2 | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 576x576 with 4 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plot_analysis(\n", | |
" result_x,\n", | |
" pulses_x,\n", | |
" alpha=(res.x * x0)[0],\n", | |
" t_c=(res.x * x0)[1],\n", | |
" t_rise=t_rise,\n", | |
" negative_n_cutoff=3,\n", | |
" make_moving_frame_shift=make_moving_frame_shift,\n", | |
" apply_moving_frame_shift=True,\n", | |
" energy_ylim=(-2, 20),\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 32, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def plot_local_levels(\n", | |
" result,\n", | |
" pulses,\n", | |
" alpha,\n", | |
" t_c,\n", | |
" t_rise,\n", | |
" n_center,\n", | |
" colors=(\n", | |
" '#000000', # 0\n", | |
" '#ff7f00', # 1\n", | |
" '#e41a1c', # 2\n", | |
" '#4daf4a', # 3\n", | |
" '#984ea3', # 4\n", | |
" '#a65628', # 5\n", | |
" '#f781bf', # 6\n", | |
" '#d2d215', # 7\n", | |
" '#fb9a99', # 8\n", | |
" '#fdbf6f', # 9\n", | |
" '#377eb8', # 10\n", | |
" ),\n", | |
"):\n", | |
" fig, ax = plt.subplots()\n", | |
"\n", | |
" n = np.prod(result.states[0].shape) # size of Hilbert space\n", | |
" n_max = (n - 1) // 2\n", | |
"\n", | |
" color = iter(colors)\n", | |
" R_pulse = pulses['R']\n", | |
" chirp = R_pulse.amplitude\n", | |
" for n in incl_range(0, n_max):\n", | |
" ax.plot(\n", | |
" R_pulse.tgrid, n ** 2 + chirp * n, color=next(color), label=str(n)\n", | |
" )\n", | |
" # crossing markers\n", | |
" crossing_t_vals = [\n", | |
" analytical_crossing(alpha, t_c, n) for n in incl_range(1, n_max)\n", | |
" ]\n", | |
" crossing_E_vals = [n - n * n for n in incl_range(1, n_max)]\n", | |
" ax.scatter(\n", | |
" crossing_t_vals,\n", | |
" crossing_E_vals,\n", | |
" marker='o',\n", | |
" facecolors='none',\n", | |
" edgecolors='black',\n", | |
" )\n", | |
"\n", | |
" t_center = analytical_crossing(alpha, t_c, n_center)\n", | |
" tau_B = - 2 / alpha\n", | |
" E_center = n_center - n_center * n_center\n", | |
"\n", | |
" ax.set_xlim(t_center - tau_B/2, t_center + tau_B/2)\n", | |
" ax.set_ylim(E_center-10, E_center+10)\n", | |
"\n", | |
" plt.show(fig)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 33, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plot_local_levels(\n", | |
" result_x,\n", | |
" pulses_x,\n", | |
" alpha=(res.x * x0)[0],\n", | |
" t_c=(res.x * x0)[1],\n", | |
" t_rise=t_rise,\n", | |
" n_center=1)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 34, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plot_local_levels(\n", | |
" result_x,\n", | |
" pulses_x,\n", | |
" alpha=(res.x * x0)[0],\n", | |
" t_c=(res.x * x0)[1],\n", | |
" t_rise=t_rise,\n", | |
" n_center=5)" | |
] | |
} | |
], | |
"metadata": { | |
"jupytext": { | |
"text_representation": { | |
"extension": ".py", | |
"format_name": "light", | |
"format_version": "1.3", | |
"jupytext_version": "0.8.6" | |
} | |
}, | |
"kernelspec": { | |
"display_name": "Python 3", | |
"language": "python", | |
"name": "python3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"name": "ipython", | |
"version": 3 | |
}, | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"name": "python", | |
"nbconvert_exporter": "python", | |
"pygments_lexer": "ipython3", | |
"version": "3.6.5" | |
}, | |
"toc": { | |
"nav_menu": {}, | |
"number_sections": true, | |
"sideBar": true, | |
"skip_h1_title": false, | |
"toc_cell": false, | |
"toc_position": {}, | |
"toc_section_display": "block", | |
"toc_window_display": true | |
}, | |
"varInspector": { | |
"cols": { | |
"lenName": 16, | |
"lenType": 16, | |
"lenVar": 40 | |
}, | |
"kernels_config": { | |
"python": { | |
"delete_cmd_postfix": "", | |
"delete_cmd_prefix": "del ", | |
"library": "var_list.py", | |
"varRefreshCmd": "print(var_dic_list())" | |
}, | |
"r": { | |
"delete_cmd_postfix": ") ", | |
"delete_cmd_prefix": "rm(", | |
"library": "var_list.r", | |
"varRefreshCmd": "cat(var_dic_list()) " | |
} | |
}, | |
"types_to_exclude": [ | |
"module", | |
"function", | |
"builtin_function_or_method", | |
"instance", | |
"_Feature" | |
], | |
"window_display": false | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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