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arXiv · 1310.6621

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

Alexandre B. Tacla·Carlton M. Caves
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Abstract

We investigate the reduced dimensionality of highly anisotropic Bose-Einstein condensates (BECs) in connection to the entanglement between its 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 -two-dimensional geometries, and obtain the optimal reduced-dimension, pure-state description of the condensate mean field. We give explicit solutions to the case of harmonic potentials, which we compare against exact numerical integration of the three-dimensional Gross-Pitaevskii equation.

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Alexandre B. Tacla, Carlton M. Caves. 2014-07-10. Reduced dimensionality and spatial entanglement in highly anisotropic Bose-Einstein condensates. https://doi.org/10.1103/physreva.90.013605

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