Two-Level: Weak Pulse with Decay

Define and Solve

[1]:
mb_solve_json = """
{
  "atom": {
    "decays": [
      {
        "channels": [[0, 1]],
        "rate": 1.0
      }
    ],
    "fields": [
      {
        "coupled_levels": [[0, 1]],
        "detuning": 0.0,
        "rabi_freq": 1.0e-3,
        "rabi_freq_t_args": {
          "ampl": 1.0,
          "centre": 0.0,
          "fwhm": 1.0
        },
        "rabi_freq_t_func": "gaussian"
      }
    ],
    "num_states": 2
  },
  "t_min": -2.0,
  "t_max": 10.0,
  "t_steps": 100,
  "z_min": -0.2,
  "z_max": 1.2,
  "z_steps": 20,
  "z_steps_inner": 2,
  "interaction_strengths": [
    1.0
  ]
}
"""
[2]:
from maxwellbloch import mb_solve
mbs = mb_solve.MBSolve().from_json_str(mb_solve_json)
[3]:
Omegas_zt, states_zt = mbs.mbsolve()
10.0%. Run time:   0.17s. Est. time left: 00:00:00:01
20.0%. Run time:   0.52s. Est. time left: 00:00:00:02
30.0%. Run time:   0.85s. Est. time left: 00:00:00:01
40.0%. Run time:   1.18s. Est. time left: 00:00:00:01
50.0%. Run time:   1.51s. Est. time left: 00:00:00:01
60.0%. Run time:   1.82s. Est. time left: 00:00:00:01
70.0%. Run time:   2.13s. Est. time left: 00:00:00:00
80.0%. Run time:   2.44s. Est. time left: 00:00:00:00
90.0%. Run time:   2.75s. Est. time left: 00:00:00:00
Total run time:   3.06s

Field Output

[4]:
import matplotlib.pyplot as plt
%matplotlib inline
import seaborn as sns
import numpy as np
sns.set_style('darkgrid')

fig = plt.figure(1, figsize=(16, 6))
ax = fig.add_subplot(111)
cmap_range = np.linspace(0.0, 1.0e-3, 11)
cf = ax.contourf(mbs.tlist, mbs.zlist,
                 np.abs(mbs.Omegas_zt[0]/(2*np.pi)),
                 cmap_range, cmap=plt.cm.Blues)
ax.set_title('Rabi Frequency ($\Gamma / 2\pi $)')
ax.set_xlabel('Time ($1/\Gamma$)')
ax.set_ylabel('Distance ($L$)')
for y in [0.0, 1.0]:
    ax.axhline(y, c='grey', lw=1.0, ls='dotted')
plt.colorbar(cf);
../_images/examples_mbs-two-weak-pulse-decay_6_0.png