Entanglement dynamics of two modes coupled through a dissipative movable mirror in an optomechanical system

TL;DR

This paper investigates how entanglement evolves in a dissipative optomechanical system with a movable mirror, revealing the effects of coupling strength and mechanical losses on quantum state generation and entanglement dynamics.

Contribution

It provides an exact solution to the master equation for the system, demonstrating the impact of mechanical losses and coupling on entanglement and Schrödinger-cat state formation.

Findings

Entanglement can be generated from initially separable states.

Mechanical losses reduce the overall entanglement.

Generation of two-mode Schrödinger-cat states depends on coupling strength.

Abstract

Nonclassical states are an important class of states in quantum mechanics, particularly for applications in quantum information theory. Optomechanical systems are invaluable platforms for exploring and harnessing these states. In this study, we focus on a mirror-in-the-middle optomechanical system. In the absence of losses, a separable state, composed of the product of coherent states, evolves into an entangled state. Furthermore, we demonstrate that generating a two-mode Schr\"odinger-cat state depends on the optomechanical coupling. Additionally, when the optical modes are uncoupled from the mechanical mode, we find no entanglement for certain nonzero optomechanical coupling intensities. We exactly solve the Gorini-Kossalokowinki-Sudarshan-Lindblad master equation, highlighting the direct influence of the reservoir on the dynamics when mechanical losses are considered. Then, we discuss vacuum one-photon superposition states to obtain exact entanglement dynamics using concurrence as a quantifier. Our results show that mechanical losses in the mirror attenuate the overall entanglement of the system.