Reduced dimensionality and spatial entanglement in highly anisotropic Bose-Einstein condensates

Tacla, Alexandre B. and Caves, Carlton M. (2014) Reduced dimensionality and spatial entanglement in highly anisotropic Bose-Einstein condensates. Physical Review A - Atomic, Molecular, and Optical Physics, 90 1: . doi:10.1103/PhysRevA.90.013605

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Author Tacla, Alexandre B.
Caves, Carlton M.
Title Reduced dimensionality and spatial entanglement in highly anisotropic Bose-Einstein condensates
Journal name Physical Review A - Atomic, Molecular, and Optical Physics   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2014-07-08
Year available 2014
Sub-type Article (original research)
DOI 10.1103/PhysRevA.90.013605
Open Access Status DOI
Volume 90
Issue 1
Total pages 10
Place of publication College Park, MD United States
Publisher American Physical Society
Collection year 2015
Language eng
Abstract We investigate the reduced dimensionality of highly anisotropic Bose-Einstein condensates (BECs) in connection with the entanglement between the spatial degrees of freedom. We argue that the reduced dimensionality of the BEC is physically meaningful in a regime where spatial correlations are negligible. We handle the problem analytically within the mean-field approximation for general quasi-one-dimensional and quasi-two-dimensional geometries and obtain the optimal reduced-dimension, pure-state description of the condensate mean field. We give explicit solutions for the case of harmonic potentials, which we compare against exact numerical integration of the three-dimensional Gross-Pitaevskii equation.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2015 Collection
 
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Created: Tue, 29 Jul 2014, 00:40:09 EST by System User on behalf of School of Mathematics & Physics