Optical and atomic stochastic resonances in the driven dissipative Jaynes-Cummings model

Abstract

In this work we study the stochastic resonance (SR) effect in a driven dissipative Jaynes-Cummings model. The SR effect is systematically studied in the semiclassical and full quantum frameworks and in both cases we find that SRs simultaneously occur for the optical and atomic freedoms. In particular, at zero temperature quantum SR can be induced merely by vacuum fluctuations. The qualitative features of semiclassical SR and quantum SR are similar, but the parameter region of quantum SR are shifted from the semiclassical region due to the widely-used factorization in obtaining semiclassical equations of motion. Our results provide a theoretical basis for experimentally observing and studying the SR phenomenon of the Jaynes-Cummings model in the quantum regime.

Interference effect in optomechanical stochastic resonance

“…It has been reported that SR can also occur in monostable systems [12][13][14] and multistable systems [15][16][17] as a consequence of nonlinearities in those systems. In addition, the SR phenomenon has also been extended into the quantum domain [18] and attracted increasing attention, such as the spinboson system [19], the micromaser system [20], the dissipative anharmonic oscillator [21], the quantum many-body system [22], the Dicke model [23] and the Jaynes-Cummings model [24].…”

Shortcuts to Squeezed Thermal States

“…We now consider to generate the dissipator through a stochastic laser field rather than through shaking the trap. This leads to a Jaynes-Cummings (JC) Hamiltonian [70,71] in its stochastic form [89,90]. Note that the effect of dissipation in the JC model has been considered [67,91,92], mainly focusing on the influence over the populations.…”