Dynamical Phase Transition of two-component Bose-Einstein condensate with nonlinear tunneling in an optomechanical cavity-mediated double-well system

TL;DR

This paper studies how nonlinear tunneling and a moving mirror influence the dynamical phase transitions of a two-component Bose-Einstein condensate in an optomechanical double-well system, revealing increased stability and faster tunneling.

Contribution

It introduces the effects of nonlinear tunneling and a moving mirror on the phase diagram and stability of a two-component BEC in an optomechanical cavity.

Findings

Nonlinear tunneling increases stability points.

Moving mirror accelerates BEC tunneling.

Population difference and stability points are regulated by mirror motion.

Abstract

We investigate the dynamical phase transition of two-component Bose-Einstein condensate with nonlinear tunneling, which is trapped inside a double-well and dispersively coupled to a single mode of a high-finesse optical cavity with one moving end mirror driven by a single mode standing field. The nonlinear tunneling interaction leads to an increase of stability points and riches the phase diagram of the system. It is shown that the appearance of the moving end mirror speeds up the tunneling of Bose-Einstein condensates, which makes population difference between two wells and regulates the number of the stability points of the system.