Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil

We study a system represented by a Bose-Einstein condensate interacting with a cavity field in presence of a strong off-resonant pumping laser. This system can be described by a three-mode Gaussian state, where two are the atomic modes corresponding to atoms populating upper and lower momentum sideb...

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Main Authors: Piano, Samanta, Adesso, Gerardo
Format: Article
Published: MDPI 2013
Online Access:https://eprints.nottingham.ac.uk/2440/
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author Piano, Samanta
Adesso, Gerardo
author_facet Piano, Samanta
Adesso, Gerardo
author_sort Piano, Samanta
building Nottingham Research Data Repository
collection Online Access
description We study a system represented by a Bose-Einstein condensate interacting with a cavity field in presence of a strong off-resonant pumping laser. This system can be described by a three-mode Gaussian state, where two are the atomic modes corresponding to atoms populating upper and lower momentum sidebands and the third mode describes the scattered cavity field light. We show that, as a consequence of the collective atomic recoil instability, these modes possess a genuine tripartite entanglement that increases unboundedly with the evolution time and is larger than the bipartite entanglement in any reduced two-mode bipartition. We further show that the state of the system exhibits genuine tripartite nonlocality, which can be revealed by a robust violation of the Svetlichny inequality when performing displaced parity measurements. Our exact results are obtained by exploiting the powerful machinery of phase-space informational measures for Gaussian states, which we briefly review in the opening sections of the paper.
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spelling nottingham-24402020-05-04T16:36:56Z https://eprints.nottingham.ac.uk/2440/ Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil Piano, Samanta Adesso, Gerardo We study a system represented by a Bose-Einstein condensate interacting with a cavity field in presence of a strong off-resonant pumping laser. This system can be described by a three-mode Gaussian state, where two are the atomic modes corresponding to atoms populating upper and lower momentum sidebands and the third mode describes the scattered cavity field light. We show that, as a consequence of the collective atomic recoil instability, these modes possess a genuine tripartite entanglement that increases unboundedly with the evolution time and is larger than the bipartite entanglement in any reduced two-mode bipartition. We further show that the state of the system exhibits genuine tripartite nonlocality, which can be revealed by a robust violation of the Svetlichny inequality when performing displaced parity measurements. Our exact results are obtained by exploiting the powerful machinery of phase-space informational measures for Gaussian states, which we briefly review in the opening sections of the paper. MDPI 2013-05-17 Article PeerReviewed Piano, Samanta and Adesso, Gerardo (2013) Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil. Entropy, 15 (5). pp. 1875-1886. ISSN 1099-4300 http://www.mdpi.com/1099-4300/15/5/1875 doi:10.3390/e15051875 doi:10.3390/e15051875
spellingShingle Piano, Samanta
Adesso, Gerardo
Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil
title Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil
title_full Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil
title_fullStr Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil
title_full_unstemmed Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil
title_short Genuine tripartite entanglement and nonlocality in Bose-Einstein condensates by collective atomic recoil
title_sort genuine tripartite entanglement and nonlocality in bose-einstein condensates by collective atomic recoil
url https://eprints.nottingham.ac.uk/2440/
https://eprints.nottingham.ac.uk/2440/
https://eprints.nottingham.ac.uk/2440/