Quantum quenches in the sinh-Gordon and Lieb-Liniger models

TL;DR

This paper investigates the non-equilibrium dynamics of quantum quenches in the sinh-Gordon model and its non-relativistic limit, the Lieb-Liniger model, demonstrating the limit's validity out of equilibrium.

Contribution

It extends the understanding of the non-relativistic limit of integrable field theories to out-of-equilibrium quantum quenches.

Findings

Results agree with known Lieb-Liniger quench dynamics

Non-relativistic limit applies out of equilibrium

Validates the non-relativistic limit in dynamical settings

Abstract

The non-relativistic limit of integrable field theories at equilibrium has been intensively studied in the previous years; the simplest non-trivial case relates the sinh-Gordon model to the Lieb-Liniger model. Here we study this non-relativistic limit out of equilibrium, namely in the time evolution after a quantum quench. The obtained results agree with the known ones for the Lieb-Liniger model, thus showing that the non-relativistic limit is applicable in this out-of-equilibrium setting.