Luttinger liquid properties of the steady state after a quantum quench

TL;DR

This paper investigates the steady state properties of one-dimensional Fermi systems after a sudden change in interaction, demonstrating universal Luttinger liquid behavior through both theoretical and microscopic models.

Contribution

It introduces a nonperturbative approach to analyze the long-time steady state of quenched 1D Fermi systems, connecting lattice and field theoretical models.

Findings

Evidence of universal Luttinger liquid behavior in the steady state

Agreement between lattice model results and Tomonaga-Luttinger model solutions

Method allows access to large-time dynamics in quantum quenches

Abstract

We study the dynamics resulting out of an abrupt change of the two-particle interaction in two models of closed one-dimensional Fermi systems: (a) the field theoretical Tomonaga-Luttinger model and (b) a microscopic lattice model. Using a nonperturbative approach which is controlled for small two-particle interactions we are able to reach large times allowing us to access the properties of the steady state of the lattice model. Comparing those to the exact solution of the full dynamics in the Tomonaga-Luttinger model we provide evidence for universal Luttinger liquid behavior.