CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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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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Cite this article: |
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.
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Received: 05 January 2019
Published: 22 January 2019
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PACS: |
72.15.Rn
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(Localization effects (Anderson or weak localization))
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73.20.Jc
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(Delocalization processes)
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05.30.-d
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(Quantum statistical mechanics)
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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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