latmatcher / backend /lsquant /evolve_xh.py
AndreiVoicuT's picture
Upload 85 files
1c703f0 verified
raw
history blame
1.29 kB
from .fast_math import op_ket, bj, commute
def time_evolve_com_xh(phi_in, x, ham, w0, dt, bj_list=None, eps=10e-5):
phi_0 = phi_in
phi_0_x = 0
phi_1 = op_ket(ham, phi_in)
c_xh = commute(x, ham)
if bj_list is None:
phi_1_x = op_ket(c_xh, phi_in)
phi_out = 2 * (-1j) * bj(m=0, x=w0 * dt) * phi_1
m = 2
bjm = bj(m, w0 * dt)
while abs(bjm) > eps:
phi_2 = 2 * op_ket(ham, phi_1) - phi_0
phi_2_x = 2 * op_ket(c_xh, phi_1) + 2 * op_ket(ham, phi_1_x) - phi_0_x
phi_out = phi_out + 2 * (-1j ** m) * bjm * phi_2_x
phi_0 = phi_1
phi_1 = phi_2
phi_0_x = phi_1_x
phi_1_x = phi_2_x
m += 1
bjm = bj(m, w0 * dt)
return phi_out
else:
phi_1_x = op_ket(c_xh, phi_in)
phi_out = 2 * (-1j) * bj_list[0] * phi_1
m = 2
while abs(bj_list[m]) > eps:
phi_2 = 2 * op_ket(ham, phi_1) - phi_0
phi_2_x = 2 * op_ket(c_xh, phi_1) + 2 * op_ket(ham, phi_1_x) - phi_0_x
phi_out = phi_out + 2 * (-1j ** m) * bj(m, x=w0 * dt) * phi_2_x
phi_0 = phi_1
phi_1 = phi_2
phi_0_x = phi_1_x
phi_1_x = phi_2_x
m += 1