English

Equilibration of a spinless Luttinger liquid

Strongly Correlated Electrons 2012-01-25 v1 Mesoscale and Nanoscale Physics Quantum Gases

Abstract

We study how a Luttinger liquid of spinless particles in one dimension approaches thermal equilibrium. Full equilibration requires processes of backscattering of excitations which occur at energies of order of the bandwidth. Such processes are not accounted for by the Luttinger liquid theory. We treat the high-energy excitations as mobile impurities and derive an expression for the equilibration rate in terms of their spectrum. Our results apply at any interaction strength.

Keywords

Cite

@article{arxiv.1107.4116,
  title  = {Equilibration of a spinless Luttinger liquid},
  author = {K. A. Matveev and A. V. Andreev},
  journal= {arXiv preprint arXiv:1107.4116},
  year   = {2012}
}
R2 v1 2026-06-21T18:39:43.314Z