Exact solvability and two-frequency Rabi oscillation in cavity-QED setup with moving emitter

Center for Quantum Sciences and School of Physics, Northeast Normal University - Changchun 130024, China

^(a) wangzh761@nenu.edu.cn (corresponding author)

Received: 1 September 2021
Accepted: 13 December 2021

Abstract

In this paper, we investigate the energy spectrum and coherent dynamical process in a cavity-QED setup with a moving emitter, which is subject to a harmonic potential. We find that the vibration of the emitter will induce the effective Kerr and optomechanical interactions. We generalize the Bogliubov operators approach which dealt with quantum Rabi model, to our cavity-emitter-vibration system and obtain the energy spectrum exactly. Furthermore, we show that the dynamics of the system exhibit a two-frequency Rabi oscillation behavior. We explain such behavior by optomechanical-interaction–induced quantum transition between emitter-cavity dressed states. We hope that the interaction between cavity mode and moving emitter will provide a versatile platform to explore more exotic effects and potential applications in cavity-QED scenario.