Response of the strongly driven Jaynes-Cummings oscillator.
We analyze the Jaynes-Cummings model of quantum optics, in the strong-dispersive regime. In the bad-cavity limit and on time scales short compared to the atomic coherence time, the dynamics are those of a nonlinear oscillator. A steady-state nonperturbative semiclassical analysis exhibits a finite region of bistability delimited by a pair of critical points, unlike the usual dispersive bistability from a Kerr nonlinearity. This analysis explains our quantum trajectory simulations that show qualitative agreement with recent experiments from the field of circuit quantum electrodynamics.
Bishop
Lev S
LS
Physics Department, Yale University, New Haven, Connecticut 06520, USA.
Ginossar
Eran
E
Girvin
S M
SM