Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases

Details Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases

2003-06-30

arxiv.org/abs/cond-mat/0306735v1

Phys.Rev. A69 (2004) 023619

Physics

Condensed Matter

Statistical Mechanics

18 pages, Latex, Revtex4

Scientific paper

10.1103/PhysRevA.69.023619

We calculate the dynamic single-particle and many-particle correlation functions at non-zero temperature in one-dimensional trapped repulsive Bose gases. The decay for increasing distance between the points of these correlation functions is governed by a scaling exponent that has a universal expression in terms of observed quantities. This expression is valid in the weak-interaction Gross-Pitaevskii as well as in the strong-interaction Girardeau-Tonks limit, but the observed quantities involved depend on the interaction strength. The confining trap introduces a weak center-of-mass dependence in the scaling exponent. We also conjecture results for the density-density correlation function.

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