Temperature effect on a kicked Tonks-Girardeau gas

TL;DR

This paper investigates how finite temperature affects the many-body dynamical localization and delocalization in a kicked Tonks-Girardeau gas, revealing persistence of localization and a transition at intermediate temperatures.

Contribution

It extends the understanding of many-body dynamical localization to finite temperatures, showing localization persists at high temperatures and identifying a transition at intermediate temperatures.

Findings

Many-body dynamical localization persists at high temperatures.

Localization coherence is degraded but not destroyed by temperature.

A transition between localized and delocalized states occurs at intermediate temperatures.

Abstract

It is widely recognized that finite temperatures degrade quantum coherence and can induce thermalization. Here, we study the effect of finite temperature on a kicked Tonks--Girardeau gas, which is known to exhibit many--body dynamical localization and delocalization under periodic and quasiperiodic kicks, respectively. We find that many--body dynamical localization persists at finite--and even high--temperatures, although the coherence of the localized state is further degraded. In particular, we demonstrate a modified effective thermalization of the localized state by considering the initial temperature. Moreover, we show many--body dynamical localization transition at intermediate temperature. Our work extends the study of many--body dynamical localization and delocalization to the finite--temperature regime, providing guidance for cold-atom experiments, particularly in the strongly-interacting regime.