Regular Article

Simultaneous squeezing of multi-mechanical-modes in a hybrid optomechanical system based on amplitude modulation

Department of Physics, College of Science, Yanbian University, Yanji, Jilin 133002, P.R. China

^a e-mail: adzhu@ybu.edu.cn

Received: 9 July 2020
Received in final form: 21 September 2020
Accepted: 21 September 2020
Published online: 1 November 2020

Abstract

We propose a scalable scheme to generate quadrature-squeezed state of multi-mechanical-modes in a cavity embedded with an atomic ensemble by exerting a driving field with the form of amplitude periodic modulation on the cavity. Using the methods of covariance analysis and numerical simulations, we show that the multi-mechanical-modes can be simultaneously squeezed in one quadrature (momentum or position) in unresolved-sideband regime, and the squeezed degree can be further deepened due to the introduction of atomic ensemble and periodic modulation. Squeezing competition exists between different mechanical modes according to the optomechanical coupling strength, hence the mechanical squeezing can be adjusted by optomechanical coupling strength within a certain range. Moreover, the more the number of mechanical modes, the lower the squeezing degree of each oscillator.