Entanglement rate for Gaussian continuous variable beams

Zhi Jiao Deng,Steven J M Habraken,Florian Marquardt

doi:10.1088/1367-2630/18/6/063022

Abstract

We derive a general expression that quantifies the total entanglement production rate in continuous variable systems, where a source emits two entangled Gaussian beams with arbitrary correlators. This expression is especially useful for situations where the source emits an arbitrary frequency spectrum, e.g. when cavities are involved. To exemplify its meaning and potential, we apply it to a four-mode optomechanical setup that enables the simultaneous up- and down-conversion of photons from a drive laser into entangled photon pairs. This setup is efficient in that both the drive and the optomechanical up- and down-conversion can be fully resonant.

Highlights

Entanglement is an essential feature of quantum mechanics and a crucial resource for quantum communication and information processing
Such a naive approach fails if there are correlations between subsequent pairs, or if we consider entangled beams of radiation that cannot be naturally decomposed into well-defined pairs of particles
After we introduce and discuss the general definition, we illustrate our entanglement rate by applying it to a four-mode optomechanical setup that allows the fully resonant, and thereby efficient, generation of entanglement

Summary

20 June 2016

Original content from this Abstract work may be used under We derive a general expression that quantifies the total entanglement production rate in continuous the terms of the Creative Commons Attribution 3.0 variable systems, where a source emits two entangled Gaussian beams with arbitrary correlators. To exemplify its meaning and potential, we apply it to a four-mode attribution to the author(s) and the title of optomechanical setup that enables the simultaneous up- and down-conversion of photons from a the work, journal citation drive laser into entangled photon pairs This setup is efficient in that both the drive and the and DOI.

Introduction

The entanglement rate

Relation to entanglement between wave packets

Results

Conclusions