Temperature effect on a kicked Tonks-Girardeau gas

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.