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arXiv · 1011.3149

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

K. K. Kozlowski·J. M. Maillet·N. A. Slavnov
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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 with the correlation lengths stemming from the quantum transfer matrix method.

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K. K. Kozlowski, J. M. Maillet, N. A. Slavnov. 2010-11-13. Long-distance behavior of temperature correlation functions in the one-dimensional Bose gas. https://doi.org/10.1088/1742-5468%2F2011%2F03%2Fp03018

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