title: Response of the strongly driven Jaynes-Cummings oscillator.
abstract: 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.
authors.affiliation: Physics Department, Yale University, New Haven, Connecticut 06520, USA.
authors.forename: Lev S
authors.initials: LS
authors.lastname: Bishop
authors.forename: Eran
authors.initials: E
authors.lastname: Ginossar
authors.forename: S M
authors.initials: SM
authors.lastname: Girvin