Quantum dynamics of two-optical modes and a single mechanical mode optomechanical system: selective energy exchange

TL;DR

This paper investigates the quantum dynamics of a three-mode optomechanical system, revealing a superradiant phase transition, a new critical point from optical quadrature coupling, and the ability to selectively exchange energy between modes, along with observing normal mode splitting.

Contribution

It introduces a novel analysis of a three-mode optomechanical system showing phase transition, a new critical point, and controlled energy exchange, expanding understanding of quantum optomechanics.

Findings

Superradiant phase transition identified

New critical point from optical quadrature coupling

Selective energy exchange demonstrated

Abstract

We study the quantum dynamics of an optomechanical setup comprising two optical modes and one mechanical mode. We show that the same system can undergo a Dicke-Hepp-Lieb superradiant type phase transition. We found that the coupling between the momentum quadratures of the two optical fields give rise to a new critical point. We show that selective energy exchange between any two modes is possible by coherent control of the coupling parameters. In addition we also demonstrate the occurrence of Normal Mode Splitting (NMS) in the mechanical displacement spectrum.