Exceptional point induced quantum phase synchronization and entanglement dynamics in mechanically coupled gain-loss oscillators

TL;DR

This study explores how exceptional points in gain-loss mechanical oscillators enable quantum phase synchronization and entanglement, with potential applications in quantum communication.

Contribution

It demonstrates the role of exceptional points in producing robust quantum correlations and synchronization in coupled mechanical oscillators driven by tailored laser fields.

Findings

Quantum phase synchronization occurs above a critical driving power.

Entanglement and squeezing are observed in the weak coupling regime.

Exceptional points facilitate self-sustained oscillations and robust quantum correlations.

Abstract

The optomechanical cavity (OMC) system has been a paradigm in the manifestation of continuous variable quantum information over the past decade. This paper investigates how quantum phase synchronization relates to bipartite Gaussian entanglement in coupled gain-loss mechanical oscillators, where the gain and loss rates are engineered by driving the cavity with blue and red detuned lasers, respectively. We examine the role of exceptional point in a deterministic way of producing self-sustained oscillations that induce robust quantum correlations among quadrature fluctuations of the oscillators. Particularly, steady phase synchronization dynamics along with the entanglement phenomena are observed in the effective weak coupling regime above a critical driving power. These phenomena are further verified by observing the mechanical squeezing and phase space rotations of the Wigner distributions. Additionally, we discuss how the oscillators frequency mismatches and decoherence due to thermal phonons impact the system dynamics. These findings hold promise for applications in phonon-based quantum communication and information processing.