Spatial entanglement in interacting Bose-Einstein condensates

The entanglement between spatial regions in an interacting Bose-Einstein condensate is investigated using a quantum field theoretic formalism. Regions that are small compared to the healing length are governed by a nonrelativistic quantum field theory in the vacuum limit, and we show that the latter...

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Hauptverfasser: Sánchez-Kuntz, Natalia (VerfasserIn) , Flörchinger, Stefan (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 21 April 2021
In: Physical review
Year: 2021, Jahrgang: 103, Heft: 4, Pages: 1-14
ISSN:2469-9934
DOI:10.1103/PhysRevA.103.043327
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.103.043327
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.103.043327
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Verfasserangaben:N. Sánchez-Kuntz and S. Floerchinger
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Zusammenfassung:The entanglement between spatial regions in an interacting Bose-Einstein condensate is investigated using a quantum field theoretic formalism. Regions that are small compared to the healing length are governed by a nonrelativistic quantum field theory in the vacuum limit, and we show that the latter has vanishing entanglement. In the opposite limit of a region that is large compared to the healing length, the entanglement entropy is like in the vacuum of a relativistic theory where the velocity of light is replaced with the velocity of sound and where the inverse healing length provides a natural ultraviolet regularization scale. Besides the von Neumann entanglement entropy, we also calculate Rényi entanglement entropies for a one-dimensional quasicondensate.
Beschreibung:Gesehen am 14.06.2021
Beschreibung:Online Resource
ISSN:2469-9934
DOI:10.1103/PhysRevA.103.043327