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

Robertson, Scott and Michel, Florent and Parentani, Renaud (2017) 'Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables.', Physical review D., 96 (4). 045012.


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.

Item Type:Article
Full text:(AM) Accepted Manuscript
First Live Deposit - 11 July 2017
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Publisher statement:Reprinted with permission from the American Physical Society: Physical Review D 96, 045012 © 2017 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Record Created:11 Jul 2017 15:28
Last Modified:21 Aug 2017 10:27

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