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Title: Entanglement between atomic condensates in an optical lattice: Effects of interaction range

Abstract

We study the area-dependent entropy and two-site entanglement for two-state Bose-Einstein condensates in a two-dimensional optical lattice. We consider the case where the array of two-component condensates behaves like an ensemble of spin-half particles with the interaction to its nearest neighbors and next-nearest neighbors. We show how the Hamiltonian of their Bose-Einstein condensate lattice with nearest-neighbor and next-nearest-neighbor interactions can be mapped onto a harmonic lattice. We use this to determine the entropy and entanglement content of the lattice.

Authors:
;  [1]
  1. Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford OX1 3PU (United Kingdom)
Publication Date:
OSTI Identifier:
20982152
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.75.023601; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOSE-EINSTEIN CONDENSATION; CONDENSATES; ENTROPY; HAMILTONIANS; INTERACTION RANGE; INTERACTIONS; PARTICLES; QUANTUM ENTANGLEMENT; SPIN; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Ng, H. T., and Burnett, K. Entanglement between atomic condensates in an optical lattice: Effects of interaction range. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.023601.
Ng, H. T., & Burnett, K. Entanglement between atomic condensates in an optical lattice: Effects of interaction range. United States. doi:10.1103/PHYSREVA.75.023601.
Ng, H. T., and Burnett, K. Thu . "Entanglement between atomic condensates in an optical lattice: Effects of interaction range". United States. doi:10.1103/PHYSREVA.75.023601.
@article{osti_20982152,
title = {Entanglement between atomic condensates in an optical lattice: Effects of interaction range},
author = {Ng, H. T. and Burnett, K.},
abstractNote = {We study the area-dependent entropy and two-site entanglement for two-state Bose-Einstein condensates in a two-dimensional optical lattice. We consider the case where the array of two-component condensates behaves like an ensemble of spin-half particles with the interaction to its nearest neighbors and next-nearest neighbors. We show how the Hamiltonian of their Bose-Einstein condensate lattice with nearest-neighbor and next-nearest-neighbor interactions can be mapped onto a harmonic lattice. We use this to determine the entropy and entanglement content of the lattice.},
doi = {10.1103/PHYSREVA.75.023601},
journal = {Physical Review. A},
number = 2,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
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