Entanglement dynamics of two coupled mechanical oscillators in modulated optomechanics

TL;DR

This paper investigates how entanglement between two coupled mechanical oscillators evolves in a modulated optomechanical system, revealing conditions for stationary or dynamical entanglement that is robust and experimentally feasible.

Contribution

It introduces a detailed analysis of entanglement dynamics in coupled oscillators within modulated optomechanics, including an analytical expression for the critical coupling strength and experimental parameter considerations.

Findings

Entanglement can be stationary or dynamical depending on coupling strength.

Entanglement robustness against oscillator temperature is demonstrated.

Critical coupling strength for transition is analytically derived.

Abstract

We study the entanglement dynamics of two coupled mechanical oscillators, within a modulated optomechanical system. We find that, depending on the strength of the mechanical coupling, one could observe either a stationary or a dynamical behavior of the mechanical entanglement, which is extremely robust against the oscillator temperature. Moreover, we have shown that this entanglement dynamics is strongly related to the stability of the normal modes. Taking mechanical damping effects into account, an analytical expression corresponding to the critical mechanical coupling strength, where the transition from stationary to dynamical entanglement occurs is also reported. The proposed scheme is analysed with experimentally realistic parameters, making it a promising mean to realize macroscopic quantum entanglement within current state-of-the-art experimental setups.