Eur. Phys. J. D (2022) 76: 71
https://doi.org/10.1140/epjd/s10053-022-00380-z

Regular Article – Quantum Optics

Rabi oscillation and quantum decoherence of an optomechanical system with a three-level V-type atom trapped in a two-mode cavity

Key Laboratory of Photoelectric Bandgap Materials, Ministry of Education, Harbin Normal University, 150025, Harbin, China

^a 2951348537@qq.com

Received: 21 November 2021
Accepted: 4 March 2022
Published online: 21 April 2022

Abstract

In this paper, the Rabi oscillation of a three-level V-type atom trapped in a two-mode cavity field interacting with the phonon field is investigated by establishing a model in Hilbert space, and an analytical expression for the Rabi oscillation is given. We find that the Rabi oscillation is periodic or quasiperiodic by appropriately adjust the atom-cavity coupling strength or phonon-cavity coupling strength, therefore, the periodicity of the Rabi oscillation does not depend on the resonance between the cavity and the micromechanical oscillator. The modulation period of Rabi oscillation and the number of oscillations in each period are given, which are obviously different from JC model. Compared with the period of JC model, the period of our model is larger under the same conditions, which makes it easier to study when it is used as the output signal. At the same time, the period of our model is more adjustable experimentally, furthermore, the period of Rabi oscillation will change greatly even when the parameter change is very small(except the resonance between the cavity and the micromechanical oscillator), which is helpful to study the sensitivity of the system and can also be used for the study of information amplification. And the quasi period is completely caused by the phonon field, so the quasi-periodicity is helpful for us to study the role of the phonons in the system. Furthermore, we study the quantum decoherence effect of the phonon field and cavity field and give the decoherence time scale and a constraint of the system, then extend it to the case of multiple modes cavity field.