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

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.

References in corpus (2)

• Three-particle collisions in quantum wires: Corrections to thermopower and conductance
• Second sound in systems of one-dimensional fermions

Cited by in corpus (5)

• Superfluidity in the 1D Bose-Hubbard Model
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
• Viscous Properties of a Degenerate One-Dimensional Fermi Gas
• Algebraic localization-delocalization phase transition in moving potential wells on a lattice
• Viscous dissipation in a gas of one-dimensional fermions with generic dispersion