Dynamical depinning of a Tonks Girardeau gas

TL;DR

This paper investigates the non-equilibrium dynamics of a Tonks-Girardeau gas after the sudden removal of an optical lattice, revealing the approach to steady states with diminished order and specific momentum distribution features.

Contribution

It provides an exact quantum dynamical analysis of a strongly interacting bosonic gas using Bose-Fermi mapping, highlighting non-equilibrium steady states and finite-size effects.

Findings

Approach to non-equilibrium steady state with no quasi-long-range order

Reduced visibility in the momentum distribution over time

Finite-size systems exhibit quasi-steady states with power-law behavior

Abstract

We study the dynamical depinning following a sudden turn off of an optical lattice for a gas of impenetrable bosons in a tight atomic waveguide. We use a Bose-Fermi mapping to infer the exact quantum dynamical evolution. At long times, in the thermodynamic limit, we observe the approach to a non-equilibrium steady state, characterized by the absence of quasi-long-range order and a reduced visibility in the momentum distribution. Similar features are found in a finite-size system at times corresponding to half the revival time, where we find that the system approaches a quasi-steady state with a power-law behaviour.