Many-body localization and thermalization in disordered Hubbard chains
Many-body localization and thermalization in disordered Hubbard chains
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DOI：
10.1103/physreva.92.041601
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发表时间：
2015-08
影响因子：
2.9
通讯作者：
R. Mondaini;M. Rigol
中科院分区：
文献类型：
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作者：
R. Mondaini;M. Rigol
我们使用精确对角化和量子混沌指标研究一维哈伯德链中的多体局域化转变。我们还研究离域（历经）和局域相的动力学，并讨论此类系统中的热化和本征态热化，或缺乏热化。在所研究的指标和可观测值中，我们发现遍历性对于无序性非常稳健，即即使存在弱哈伯德相互作用，系统定位所需的无序强度也很大。我们证明，在超冷费米子实验中，这种鲁棒性可能被有限尺寸效应所隐藏。
We study the many-body localization transition in one-dimensional Hubbard chains using exact diagonalization and quantum chaos indicators. We also study dynamics in the delocalized (ergodic) and localized phases and discuss thermalization and eigenstate thermalization, or the lack thereof, in such systems. Consistently within the indicators and observables studied, we find that ergodicity is very robust against disorder, namely, even in the presence of weak Hubbard interactions the disorder strength needed for the system to localize is large. We show that this robustness might be hidden by finite size effects in experiments with ultracold fermions.