Entanglement of two movable mirrors with a single photon superposition state

TL;DR

This paper proposes a scheme to generate and analytically characterize entanglement between two movable mirrors in a cavity using a single photon superposition, achieving strong entanglement in different coupling regimes.

Contribution

It introduces a simple, deterministic method to entangle movable mirrors with a single photon superposition, including analytical expressions for the entangled states and their degree of entanglement.

Findings

Strong entanglement achievable in strong coupling regime

Conditional strong entanglement in weak coupling regime

Analytical expressions for entangled states

Abstract

We propose a simple scheme to generate deterministic entanglement between two movable end mirrors in a Fabry-Perot cavity using a single photon superposition state. We derive analytically the expressions of the generated entangled states and the degree of entanglement for each state. We show that strong entanglement can be obtained either in the single-photon strong coupling regime deterministically or in the single-photon weak coupling regime conditionally.