Analytic approach to dynamics of the resonant and off-resonant Jaynes-Cummings systems with cavity losses

A new analytic approach to investigate the zero-temperature time evolution of Jaynes-Cummings system with cavity losses is developed. With realistic coupling between and environment assumed, a simple master equation derived, leading explicit solution for resonant case. This suitable analyses not only on single excitation states but also many states, which enables us photon coherent state observe sharp collapses revivals under dissipation. For off-resonant case, other hand, present study presents an analytic, systematic method instead. We examine small large detuning limits discuss condition where widely-used phenomenological treatment justified. Explicit evaluations evolutions various initial finite are presented.