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

N. M. Bogoliubov·R. K. Bullough·C. Malyshev·J. Timonen
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Abstract

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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N. M. Bogoliubov, R. K. Bullough, C. Malyshev, J. Timonen. 2003-06-30. Finite-temperature correlations in the one-dimensional trapped and untrapped Bose gases. https://doi.org/10.1103/physreva.69.023619

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