Entanglement and entropy production in coupled single-mode Bose-Einstein condensates

Izabella Lovas, József Fortágh, Eugene Demler, G. Zaránd

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We investigate the time evolution of the entanglement entropy of coupled single-mode Bose-Einstein condensates in a double-well potential at T=0 temperature by combining numerical results with analytical approximations. We find that the coherent oscillations of the condensates result in entropy oscillations on the top of a linear entropy generation at short time scales. Due to dephasing, the entropy eventually saturates to a stationary value, in spite of the lack of equilibration. We show that this long-time limit of the entropy reflects the semiclassical dynamics of the system, revealing the self-trapping phase transition of the condensates at large interaction strength by a sudden entropy jump. We compare the stationary limit of the entropy to the prediction of a classical microcanonical ensemble and find surprisingly good agreement in spite of the nonequilibrium state of the system. Our predictions should be experimentally observable on a Bose-Einstein condensate in a double-well potential or on a two-component condensate with interstate coupling.

Original languageEnglish
Article number023615
JournalPhysical Review A
Volume96
Issue number2
DOIs
Publication statusPublished - Aug 17 2017

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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