Entanglement of the Two Movable Mirrors in a Single Mode Cavity Field

TL;DR

This paper investigates the quantum entanglement between two movable mirrors in a single-mode cavity, analyzing how radiation pressure induces entanglement under ideal conditions without thermal noise.

Contribution

It provides a theoretical calculation of mirror-mirror entanglement using Wootters concurrence in a specific quantum optical setup, highlighting the conditions for entanglement.

Findings

Mirrors become entangled in the |0>,|1> space via radiation pressure

Entanglement is present even with small concurrence values

Entanglement depends on the coupling coefficient and photon number

Abstract

The entanglement of the two movable mirrors in a single mode cavity field is studied in an ideal situation without thermal noise. When gn/w <<1 where g is the coupling coefficient between the mirror and the field, w is the mirror' vibration frequency and n is photon number of the cavity field, we work out Wootters concurrence of the system initially with the field in Fock number state and the two mirrors in vacuum states, and find that the states of the mirrors are entangled into space spanned by |0>,|1> via radiation pressure, though the concurrence is very small.