Preparation of Motion Entangled Coherent States of Two Cavity Mirrors

Abstract

A scheme is proposed for the generation of entangled coherent states of two spatially separated cavity mirrors. In the scheme, a two-level atom is sent through two cavities, each having a movable mirror, to produce an entangled photon state for the cavity fields. Then the optomechanical effects further entangle the mirror motions with the cavity fields. A second two-level atom, passing through the cavities, is state-selectively measured, which reduces the mirror motions to an entangled coherent state.We also show how to distinguish such an entangled state from a classical mixture.