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Title: Interferences in the Density of Two Bose-Einstein Condensates Consisting of Identical or Different Atoms

Abstract

The density of two initially independent condensates which are allowed to expand and overlap can show interferences as a function of time due to interparticle interaction. Two situations are separately discussed and compared: (1) all atoms are identical and (2) each condensate consists of a different kind of atoms. Illustrative examples are presented.

Authors:
; ;  [1];  [2]
  1. Theoretical Chemistry, Heidelberg University, Im Neuenheimer Feld 229, 69120 Heidelberg (Germany)
  2. Department of Chemistry, Ben-Gurion University of the Negev, Beer-Sheva 84105 (Israel)
Publication Date:
OSTI Identifier:
20957737
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevLett.98.110405; (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; ATOMS; BOSE-EINSTEIN CONDENSATION; INTERFERENCE; PARTICLE INTERACTIONS; TIME DEPENDENCE

Citation Formats

Cederbaum, Lorenz S., Streltsov, Alexej I., Alon, Ofir E., and Band, Yehuda B. Interferences in the Density of Two Bose-Einstein Condensates Consisting of Identical or Different Atoms. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.110405.
Cederbaum, Lorenz S., Streltsov, Alexej I., Alon, Ofir E., & Band, Yehuda B. Interferences in the Density of Two Bose-Einstein Condensates Consisting of Identical or Different Atoms. United States. doi:10.1103/PHYSREVLETT.98.110405.
Cederbaum, Lorenz S., Streltsov, Alexej I., Alon, Ofir E., and Band, Yehuda B. Fri . "Interferences in the Density of Two Bose-Einstein Condensates Consisting of Identical or Different Atoms". United States. doi:10.1103/PHYSREVLETT.98.110405.
@article{osti_20957737,
title = {Interferences in the Density of Two Bose-Einstein Condensates Consisting of Identical or Different Atoms},
author = {Cederbaum, Lorenz S. and Streltsov, Alexej I. and Alon, Ofir E. and Band, Yehuda B.},
abstractNote = {The density of two initially independent condensates which are allowed to expand and overlap can show interferences as a function of time due to interparticle interaction. Two situations are separately discussed and compared: (1) all atoms are identical and (2) each condensate consists of a different kind of atoms. Illustrative examples are presented.},
doi = {10.1103/PHYSREVLETT.98.110405},
journal = {Physical Review Letters},
number = 11,
volume = 98,
place = {United States},
year = {Fri Mar 16 00:00:00 EDT 2007},
month = {Fri Mar 16 00:00:00 EDT 2007}
}
  • Criteria suitable for measuring entanglement between two different potential wells in a Bose-Einstein condensation are evaluated. We show how to generate the required entanglement, utilizing either an adiabatic two-mode or a dynamic four-mode interaction strategy, with techniques that take advantage of s-wave scattering interactions to provide the nonlinear coupling. The dynamic entanglement method results in an entanglement signature with spatially separated detectors, as in the Einstein-Podolsky-Rosen paradox.
  • Two basic correlation functions are calculated for a model of N harmonically interacting identical particles in a parabolic potential well. The density and the pair correlation function of the model are investigated for the boson case. The dependence of these static response properties on the complete range of the temperature and of the number of particles is obtained. The calculation technique is based on the path integral approach of symmetrized density matrices for identical particles in a parabolic confining well. {copyright} {ital 1997} {ital The American Physical Society}
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