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

TL;DR

This paper presents an exact solution for a cavity-QED system with a moving emitter, revealing two-frequency Rabi oscillations induced by optomechanical interactions, expanding understanding of quantum dynamics in such setups.

Contribution

It generalizes the Bogliubov operators approach to exactly solve a cavity-emitter-vibration system and uncovers two-frequency Rabi oscillations caused by emitter vibrations.

Findings

Exact energy spectrum obtained for the system.

Identification of two-frequency Rabi oscillations.

Explanation of oscillations via optomechanical interactions.

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. With the assistance of Bogliubov operators approach, we obtain the energy spectrum of the system 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.