Entangled state engineering of vibrational modes in a multi-membrane optomechanical system

TL;DR

This paper presents a method to generate and synthesize various entangled vibrational states in a multi-membrane optomechanical system using sideband excitations and classical pulses, with potential applications in quantum information processing.

Contribution

It introduces a novel scheme for creating arbitrary entangled states of multiple mechanical vibrational modes in an optomechanical system.

Findings

Demonstrates how to produce Bell, NOON, GHZ, and W states.

Shows the feasibility of the method with brief discussion on environmental effects.

Applicable to various optomechanical setups with multiple resonators.

Abstract

We propose a method to generate entangled states of the vibrational modes of N membranes which are coupled to a cavity mode via the radiation pressure. Using sideband excitations, we show that arbitrary entangled states of vibrational modes of different membranes can be produced in principle by sequentially applying a series of classical pulses with desired frequencies, phases and durations. As examples, we show how to synthesize several typical entangled states, for example, Bell states, NOON states, GHZ states and W states. The environmental effect, information leakage, and experimental feasibility are briefly discussed. Our proposal can also be applied to other experimental setups of optomechanical systems, in which many mechanical resonators are coupled to a common sing-mode cavity field via the radiation pressure.