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arXiv · 2611.08350

Asymptotic analysis of the dynamical field-field correlation function of the impenetrable Bose gas

Frank Göhmann·Karol K. Kozlowski·Mikhail D. Minin·Alexander Weiße
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Abstract

We study the long-time, large-distance asymptotic behaviour of the two-point correlation function of fields of the impenetrable Bose gas in equilibrium states characterized by a quasi-momentum distribution (or filling fraction). This includes, in particular, the cases of Gibbs and generalized Gibbs ensembles. The overall structure of the asymptotic expansion depends on the number of Fermi points, those points for which the quasi-momentum distribution takes the value $1/2$. The leading asymptotic behaviour is determined by a relaxation rate, a logarithmic correction term and an amplitude for which we provide simple and explicit expressions. In the case of two Fermi points the first sub-leading correction is calculated as well.

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Frank Göhmann, Karol K. Kozlowski, Mikhail D. Minin, Alexander Weiße. 2026-11-05. Asymptotic analysis of the dynamical field-field correlation function of the impenetrable Bose gas. https://arxiv.org/abs/2611.08350

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