Thermalization of acoustic excitations in a strongly interacting one-dimensional quantum liquid

Abstract

We study inelastic decay of bosonic excitations in a Luttinger liquid. In a model with linear excitation spectrum the decay rate diverges. We show that this difficulty is resolved when the interaction between constituent particles is strong, and the excitation spectrum is nonlinear. Although at low energies the nonlinearity is weak, it regularizes the divergence in the decay rate. We develop a theoretical description of the approach of the system to thermal equilibrium. The typical relaxation rate scales as the fifth power of temperature.

References in corpus (8)

• Bose-Einstein Condensation of Erbium
• Quantum degenerate dipolar Fermi gas
• Dynamic response of one-dimensional interacting fermions
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Wigner crystal physics in quantum wires
• Dynamical structure factor at small q for the XXZ spin-1/2 chain
• Coulomb drag by small momentum transfer between quantum wires
• Equilibration of a one-dimensional Wigner crystal

Cited by in corpus (8)

• Relaxation in Luttinger liquids: Bose-Fermi duality
• Microwave spectroscopy of a weakly-pinned charge density wave in a superinductor
• Relaxation of weakly interacting electrons in one dimension
• Thermal Transport in One Dimensional Electronic Fluid
• Equilibration in a chiral Luttinger liquid
• Solitons in a one-dimensional Wigner crystal
• Quasiparticle decay in a one-dimensional Bose-Fermi mixture
• Plasmon decay and thermal transport from spin-charge coupling in generic Luttinger liquids