Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables

Robertson, Scott; Michel, Florent; Parentani, Renaud

doi:10.1103/physrevd.96.045012

Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables

Robertson, Scott; Michel, Florent; Parentani, Renaud

Authors

Scott Robertson

Florent Michel

Renaud Parentani

Abstract

We show that measuring commuting observables can be sufficient to assess that a bipartite state is entangled according to either nonseparability or the stronger criterion of “steerability.” Indeed, the measurement of a single observable might reveal the strength of the interferences between the two subsystems, as if an interferometer were used. For definiteness, we focus on the two-point correlation function of density fluctuations obtained by in situ measurements in homogeneous one-dimensional cold atomic Bose gases. We then compare this situation to that found in transonic stationary flows mimicking a black hole geometry where correlated phonon pairs are emitted on either side of the sonic horizon by the analogue Hawking effect. We briefly apply our considerations to two recent experiments.

Citation

Robertson, S., Michel, F., & Parentani, R. (2017). Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables. Physical Review D, 96(4), Article 045012. https://doi.org/10.1103/physrevd.96.045012

Journal Article Type	Article
Acceptance Date	Jul 3, 2017
Online Publication Date	Aug 16, 2017
Publication Date	Aug 16, 2017
Deposit Date	Jul 4, 2017
Publicly Available Date	Jul 11, 2017
Journal	Physical Review D
Print ISSN	2470-0010
Electronic ISSN	2470-0029
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	96
Issue	4
Article Number	045012
DOI	https://doi.org/10.1103/physrevd.96.045012
Related Public URLs	https://arxiv.org/abs/1705.06648

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