Eigenstate Distribution Fluctuation of a Quenched Disordered Bose–Hubbard System in Thermal-to-Localized Transitions
Junjun Xu** , Yanxing Li
Department of Physics, University of Science and Technology Beijing, Beijing 100083
Abstract ：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.
收稿日期: 2019-01-05
出版日期: 2019-01-22
:
72.15.Rn
(Localization effects (Anderson or weak localization))
73.20.Jc
(Delocalization processes)
05.30.-d
(Quantum statistical mechanics)
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2019, Vol. 36 
