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Title

Finite-temperature correlations and density profiles of an inhomogeneous interacting one-dimensional Bose gas

Author(s)

Kheruntsyan, K. V.;  Gangardt, D. M.;  Drummond, P. D.;  Shlyapnikov, G. V.

Abstract

We calculate the density profiles and density correlation functions of the one-dimensional Bose gas in a harmonic trap, using the exact finite-temperature solutions for the uniform case, and applying a local density approximation. The results are valid for a trapping potential that is slowly varying relative to a correlation length. They allow a direct experimental test of the transition from the weak-coupling Gross-Pitaevskii regime to the strong-coupling, "fermionic" Tonks-Girardeau regime. We also calculate the average two-particle correlation which characterizes the bulk properties of the sample, and find that it can be well approximated by the value of the local pair correlation in the trap center.

Publication type

Journal article

Source

Physical Review A, Vol. 71, no. 5 (2005), article no. 053615

Publication year

2005

FOR Code(s)

0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics;  0204 Condensed Matter Physics;  0205 Optical Physics

Keyword(s)

Approximation theory;  Correlation methods;  Density correlation functions;  Gases;  Harmonic generation;  Harmonic trap;  Temperature control

Publisher

American Physical Society

ISSN

1050-2947

Publisher URL

http://dx.doi.org/10.1103/PhysRevA.71.053615

Copyright

Copyright © 2005 The American Physical Society. Published version of this paper reproduced here in accordance with the copyright policy of the publisher.

Full text

Peer reviewed