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arXiv · 1905.03335

Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance

K. A. Matveev·A. V. Andreev
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Abstract

Luttinger liquid theory of one-dimensional quantum systems ignores exponentially weak backscattering of particles. This endows Luttinger liquids with superfluid properties. The corresponding two-fluid hydrodynamic description available at present applies only to Galilean-invariant systems, whereas most experimental realizations of one-dimensional quantum liquids lack Galilean invariance. Here we develop the two-fluid theory of such quantum liquids. In the low-frequency limit the theory reduces to single-fluid hydrodynamics. However, the absence of Galilean invariance brings about three new transport coefficients. We obtain expressions for these coefficients in terms of the backscattering rate.

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K. A. Matveev, A. V. Andreev. 2019-05-08. Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance. https://doi.org/10.1103/physrevb.100.035418

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