English

Equilibration of a one-dimensional quantum liquid

Strongly Correlated Electrons 2013-12-10 v1 Mesoscale and Nanoscale Physics Quantum Gases

Abstract

We review some of the recent results on equilibration of one-dimensional quantum liquids. The low-energy properties of these systems are described by the Luttinger liquid theory, in which the excitations are bosonic quasiparticles. At low temperatures the relaxation of the gas of excitations toward full equilibrium is exponentially slow. In electronic Luttinger liquids these relaxation processes involve backscattering of electrons and give rise to interesting corrections to the transport properties of one-dimensional conductors. We focus on the phenomenological theory of the equilibration of a quantum liquid and obtain an expression for the relaxation rate in terms of the excitation spectrum.

Keywords

Cite

@article{arxiv.1304.6012,
  title  = {Equilibration of a one-dimensional quantum liquid},
  author = {K. A. Matveev},
  journal= {arXiv preprint arXiv:1304.6012},
  year   = {2013}
}
R2 v1 2026-06-22T00:04:16.674Z