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arXiv:1011.3149 · Journal of Statistical Mechanics Theory and Experiment

Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas

Karol Kajetan Kozlowski, Jean Michel Maillet, N. A. Slavnov

Published Mar 22, 2011• 56 citations
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Abstract

We describe a Bethe ansatz-based method to derive, starting from a multiple integral representation, the long-distance asymptotic behavior at finite temperature of the density–density correlation function in the interacting one-dimensional Bose gas. We compute the correlation lengths in terms of solutions of non-linear integral equations of the thermodynamic Bethe ansatz type. Finally, we establish a connection between the results obtained in our approach and the correlation lengths stemming from the quantum transfer matrix method.

DOI
10.1088/1742-5468/2011/03/p03018

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We describe a Bethe ansatz-based method to derive, starting from a multiple integral representation, the long-distance asymptotic behavior at finite temperature of the density–density correlation function in the interacting one-dimensional Bose gas. We compute the correlation lengths in terms of solutions of non-linear integral equations of the thermodynamic Bethe ansatz type. Finally, we establish a connection between the results obtained in our approach and the correlation lengths stemming from the quantum transfer matrix method.
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