Dynamics and entanglement of a membrane-in-the-middle optomechanical system in the extremely-large-amplitude regime

TL;DR

This paper explores the classical and quantum dynamics of a membrane-in-the-middle optomechanical system operating in the extremely-large-amplitude regime, revealing self-sustained oscillations, multistability, and entanglement behavior.

Contribution

It introduces the study of large-amplitude optomechanical dynamics, including classical limit cycles and quantum entanglement, in a membrane-in-the-middle system, extending beyond small-amplitude analyses.

Findings

Membrane exhibits self-sustained oscillations with sawtooth-edged ellipses.

The system shows dynamical multistability.

Quantum entanglement correlates with classical oscillations.

Abstract

The study of optomechanical systems has attracted much attention, most of which are concentrated in the physics in the small-amplitude regime. While in this article, we focus on optomechanics in the extremely-large-amplitude regime and consider both classical and quantum dynamics. Firstly, we study classical dynamics in a membrane-in-the-middle optomechanical system in which a partially reflecting and flexible membrane is suspended inside an optical cavity. We show that the membrane can present self-sustained oscillations with limit cycles in the shape of sawtooth-edged ellipses and exhibit dynamical multistability. Then, we study the dynamics of the quantum fluctuations around the classical orbits. By using the logarithmic negativity, we calculate the evolution of the quantum entanglement between the optical cavity mode and the membrane during the mechanical oscillation. We show that there is some synchronism between the classical dynamical process and the evolution of the quantum entanglement.