Characterizing stationary optomechanical entanglement in the presence of non-Markovian noise

TL;DR

This paper analytically demonstrates the universality of stationary optomechanical entanglement under Gaussian input fields, showing it is unaffected by coupling strength or frequency-dependent squeezing, even with non-Markovian noise.

Contribution

It provides a rigorous proof that certain input states lead to universal entanglement properties in optomechanical systems, regardless of coupling or complex noise environments.

Findings

Stationary entanglement is independent of coupling for vacuum or frequency-independent squeezed input.

Frequency-dependent squeezing cannot generate entanglement.

Results hold under general Gaussian and non-Markovian noise conditions.

Abstract

We study an optomechanical system, where a mechanical oscillator interacts with a Gaussian input optical field. In the linearized picture, we analytically prove that if the input light field is the vacuum state, or is frequency-independently squeezed, the stationary entanglement between the oscillator and the output optical field is independent of the coherent coupling between them, which we refer to as the universality of entanglement. Furthermore, we demonstrate that entanglement cannot be generated by performing arbitrary frequency-dependent squeezing on the input optical field. Our results hold in the presence of general, Gaussian environmental noise sources, including non-Markovian noise.