Preservation Macroscopic Entanglement of Optomechanical Systems in non-Markovian Environment

TL;DR

This paper explores how non-Markovian environments can preserve and generate entanglement in optomechanical systems by forming bound states that prevent decay, offering new ways to protect quantum correlations.

Contribution

It provides an analytical framework for understanding non-Markovian effects in optomechanical systems and demonstrates entanglement preservation through bound states without external driving.

Findings

Bound states form when cavity-bath coupling exceeds a threshold.

Non-decay optical bound states enable sustained thermal entanglement.

Non-Markovian environment engineering can generate and protect entanglement.

Abstract

We investigate dynamics of an optomechanical system under the Non-Markovian environment. In the weak optomechanical single-photon coupling regime, we provide an analytical approach fully taking into account the non-Markovian memory effects. When the cavity-bath coupling strength crosses a certain threshold, an oscillating memory state for the classical cavity field (called bound state) is formed. Due to the existence of the non-decay optical bound state, a nonequilibrium optomechanical thermal entanglement is preserved even without external driving laser. Our results provide a potential usage to generate and protect entanglement via Non-Markovian environment engineering.