Spatial entanglement in interacting Bose-Einstein condensates

• Verfasst von: Sánchez-Kuntz, Natalia [VerfasserIn]
• Verfasst von: Flörchinger, Stefan [VerfasserIn]
• Titel: Spatial entanglement in interacting Bose-Einstein condensates
• Verf.angabe: N. Sánchez-Kuntz and S. Floerchinger
• E-Jahr: 2021
• Jahr: 21 April 2021
• Umfang: 14 S.
• Fussnoten: Gesehen am 14.06.2021
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2021
• Band/Heft Quelle: 103(2021), 4 vom: Apr., Artikel-ID 043327, Seite 1-14
• ISSN Quelle: 2469-9934
• DOI: doi:10.1103/PhysRevA.103.043327
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1760363820

Abstract

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.