Chin. Phys. Lett.  2019, Vol. 36 Issue (2): 027201    DOI: 10.1088/0256-307X/36/2/027201
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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
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Junjun Xu, Yanxing Li 2019 Chin. Phys. Lett. 36 027201
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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.
Received: 05 January 2019      Published: 22 January 2019
PACS:  72.15.Rn (Localization effects (Anderson or weak localization))  
  73.20.Jc (Delocalization processes)  
  05.30.-d (Quantum statistical mechanics)  
Fund: Supported by the National Natural Science Foundation of China under Grant No 11504021, and the Fundamental Research Funds for Central Universities of China under Grant No FRF-TP-17-023A2.
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https://cpl.iphy.ac.cn/10.1088/0256-307X/36/2/027201       OR      https://cpl.iphy.ac.cn/Y2019/V36/I2/027201
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Junjun Xu
Yanxing Li
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