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Many-body localization in the presence of a small bath

机译：小浴池下的多体定位

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摘要

In the presence of strong disorder and weak interactions, closed quantum systems can enter a many-body localized phase where the system does not conduct, does not equilibrate even for arbitrarily long times, and robustly violates quantum statistical mechanics. The starting point for such a many-body localized phase is usually taken to be an Anderson insulator where, in the limit of vanishing interactions, all degrees of freedom of the system are localized. Here, we instead consider a model where in the noninteracting limit, some degrees of freedom are localized while others remain delocalized. Such a system can be viewed as a model for a many-body localized system brought into contact with a small bath of a comparable number of degrees of freedom. We numerically and analytically study the effect of interactions on this system and find that generically, the entire system delocalizes. However, we find certain parameter regimes where results are consistent with localization of the entire system, an effect recently termed many-body proximity effect.
机译：在存在强无序和弱相互作用的情况下，封闭的量子系统可能会进入多体局域化阶段，在该阶段中，系统不会进行传导，甚至在任意长时间内也不会达到平衡，并严重违反了量子统计力学。这种多体局部相的起点通常被认为是安德森绝缘子，其中在消失的相互作用的限制下，系统的所有自由度都被局部化了。在这里，我们改为考虑一个模型，其中在非交互限制中，某些自由度是局部的，而其他自由度则是局部的。这种系统可以看作是多体局部系统的模型，该系统与自由度相当的小浴池接触。我们从数值上和分析上研究了交互作用对该系统的影响，并发现整个系统通常是非本地化的。然而，我们发现某些参数方案，其结果与整个系统的定位一致，这种效应最近被称为多体邻近效应。

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  • 来源
    《Physical review》 |2017年第3期|035132.1-035132.8|共8页
  • 作者

    Katharine Hyatt; James R. Garrison; Andrew C. Potter; Bela Bauer;

  • 作者单位

    Department of Physics, University of California, Santa Barbara, California 93106, USA;

    Department of Physics, University of California, Santa Barbara, California 93106, USA;

    Department of Physics, University of California, Berkeley, California 94720, USA;

    Station Q, Microsoft Research, Santa Barbara, California 93106, USA;

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