Spatial entanglement in interacting Bose-Einstein condensates

التفاصيل البيبلوغرافية
العنوان: Spatial entanglement in interacting Bose-Einstein condensates
المؤلفون: Sánchez-Kuntz, N., Floerchinger, S.
المصدر: Phys. Rev. A 103, 043327 (2021)
سنة النشر: 2020
المجموعة: Condensed Matter
High Energy Physics - Theory
مصطلحات موضوعية: Condensed Matter - Quantum Gases, High Energy Physics - Theory, 81Qxx, 81Txx, 81Vxx
الوصف: 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 non-relativistic 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 R\'enyi entanglement entropies for a one-dimensional quasi-condensate.
Comment: 28 pages, 6 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevA.103.043327
URL الوصول: http://arxiv.org/abs/2011.11076
رقم الأكسشن: edsarx.2011.11076
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevA.103.043327