Luttinger liquid universality in the time evolution after an interaction quench
Strongly Correlated Electrons
2013-01-11 v1
Abstract
We provide strong evidence that the relaxation dynamics of one-dimensional, metallic Fermi systems resulting out of an abrupt amplitude change of the two-particle interaction has aspects which are universal in the Luttinger liquid sense: The leading long-time behavior of certain observables is described by universal functions of the equilibrium Luttinger liquid parameter and the renormalized velocity. We analytically derive those functions for the Tomonaga-Luttinger model and verify our hypothesis of universality by considering spinless lattice fermions within the framework of the density matrix renormalization group.
Keywords
Cite
@article{arxiv.1205.2091,
title = {Luttinger liquid universality in the time evolution after an interaction quench},
author = {C. Karrasch and J. Rentrop and D. Schuricht and V. Meden},
journal= {arXiv preprint arXiv:1205.2091},
year = {2013}
}