Hybrid sound modes in one-dimensional quantum liquids

Abstract

We study sound in a single-channel one-dimensional quantum liquid. In contrast to classical fluids, instead of a single sound mode we find two modes of density oscillations. The speeds at which these two sound modes propagate are nearly equal, with the difference that scales linearly with the small temperature of the system. The two sound modes emerge as hybrids of the first and second sounds, and combine oscillations of both density and entropy of the liquid.

References in corpus (11)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Confinement induced molecules in a 1D Fermi gas
• Evidence for Helical Nuclear Spin Order in GaAs Quantum Wires
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• Equilibration of a spinless Luttinger liquid
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• Equilibration of a one-dimensional Wigner crystal
• Kinetics of mobile impurities and correlation functions in one-dimensional superfluids at finite temperature
• Relaxation in Luttinger liquids: Bose-Fermi duality
• Relaxation of weakly interacting electrons in one dimension
• Second sound in systems of one-dimensional fermions

Cited by in corpus (8)

• Superfluidity in the 1D Bose-Hubbard Model
• Thermal Transport in One Dimensional Electronic Fluid
• Thermal conductivity of the degenerate one-dimensional Fermi gas
• Two-fluid dynamics of one-dimensional quantum liquids in the absence of Galilean invariance
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
• Propagation and attenuation of sound in one-dimensional quantum liquids
• First and second sound in a dilute Bose gas across the BKT transition
• Sound in a system of chiral one-dimensional fermions