Thermalization of acoustic excitations in a strongly interacting one-dimensional quantum liquid
Strongly Correlated Electrons
2013-01-03 v1 Mesoscale and Nanoscale Physics
Quantum Gases
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.
Keywords
Cite
@article{arxiv.1208.5550,
title = {Thermalization of acoustic excitations in a strongly interacting one-dimensional quantum liquid},
author = {Jie Lin and K. A. Matveev and M. Pustilnik},
journal= {arXiv preprint arXiv:1208.5550},
year = {2013}
}