Finite temperature correlations in the Lieb-Liniger 1D Bose gas

Abstract

We address the problem of calculating finite-temperature response functions of an experimentally relevant low-dimensional strongly-correlated system: the integrable 1D Bose gas with repulsive δ-function interaction (Lieb-Liniger model). Focusing on the observable dynamical density-density function, we present a Bethe Ansatz-based method allowing for its accurate evaluation over a broad range of momenta, frequencies, temperatures and interaction parameters, in finite but large systems. We show how thermal fluctuations smoothen the zero temperature critical behavior and present explicit quantitative results in experimentally accessible regimes.

5 pages

References in corpus (7)

• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
• Universal theory of nonlinear Luttinger liquids
• Dynamical density-density correlations in the one-dimensional Bose gas
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Polarizability and dynamic structure factor of the one-dimensional Bose gas near the Tonks-Girardeau limit at finite temperatures
• Spatial nonlocal pair correlations in a repulsive 1D Bose gas
• Correlation functions of one-dimensional bosons at low temperature

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