Quench between a Mott insulator and a Lieb-Liniger liquid

TL;DR

This paper investigates the dynamics of a quantum quench from a Mott insulator to a Lieb-Liniger liquid, explicitly characterizing the stationary state with a generalized Gibbs ensemble and analyzing correlation functions.

Contribution

It provides a complete characterization of the stationary state after the quench, including the quasiparticle density and correlation functions, which was not previously known.

Findings

Stationary state described by a GGE density matrix.

Explicit form of three-body density correlation function.

Gaussian decay of density correlations at large distances.

Abstract

In this work we study a quench between a Mott insulator and a repulsive Lieb-Liniger liquid. We find explicitly the stationary state when a long time has passed after the quench. It is given by a GGE density matrix which we completely characterize, calculating the quasiparticle density describing the system after the quench. In the long time limit we find an explicit form for the local three body density density density correlation function and the asymptotic long distance limit of the density density correlation function. The later is shown to have a Gaussian decay at large distances.