Eigenstate Distribution Fluctuation of a Quenched Disordered Bose-Hubbard System in Thermal-to-Localized Transitions

摘要

We study the thermalization of a quenched disordered Bose-Hubbard system.By considering the eigenstate distribution fluctuation,we show that the thermal to many-body localized transition is always connected to a minimum of this distribution fluctuation.We also observe a Mott-localized regime,where the system fails to thermalize due to the strong on-site repulsion.Lastly,we show how to detect this eigenstate distribution fluctuation in a cold atom system,which is equivalent to measure the Loschmidt echo of the system.Our work suggests a way to measure the thermal-to-localized transitions in experiments,especially for a large system.