Bath Parameters
Dynamics
Lindblad equation:
drho/dt = -i[H,rho] + sum_k(L_k rho L_k† - {L_k†L_k, rho}/2)
Jump operators:
L_- = sqrt(gamma(n+1))|0><1| (emission)
L_+ = sqrt(gamma*n)|1><0| (absorption)
n = 1/(e^{omega/T}-1) Bose-Einstein
Non-Markovian:
Memory kernel: gamma(t) ~ g^2 * J(t) * e^{-t/tau_c}
Back-flow of information from bath.
Redfield:
Born-Markov-secular approx. Valid for weak coupling (g << omega_0).
drho/dt = -i[H,rho] + sum_k(L_k rho L_k† - {L_k†L_k, rho}/2)
Jump operators:
L_- = sqrt(gamma(n+1))|0><1| (emission)
L_+ = sqrt(gamma*n)|1><0| (absorption)
n = 1/(e^{omega/T}-1) Bose-Einstein
Non-Markovian:
Memory kernel: gamma(t) ~ g^2 * J(t) * e^{-t/tau_c}
Back-flow of information from bath.
Redfield:
Born-Markov-secular approx. Valid for weak coupling (g << omega_0).