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首页> 外文期刊>Physical review >Exponential orthogonality catastrophe in single-particle and many-body localized systems
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Exponential orthogonality catastrophe in single-particle and many-body localized systems

机译：单粒子和多体局部系统中的指数正交突变

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摘要

We investigate the statistical orthogonality catastrophe (STOC) in single-particle and many-body localized systems by studying the response of the many-body ground state to a local quench. Using scaling arguments and exact numerical calculations, we establish that the STOC gives rise to a wave function overlap between the pre- and postquench ground states that has an exponential decay with the system size, in sharp contrast to the well-known power law Anderson orthogonality catastrophe in metallic systems. This exponential decay arises from a statistical charge transfer process where a particle can be effectively "transported" to an arbitrary lattice site. In a many-body localized phase, this nonlocal transport and the associated exponential STOC phenomenon persist in the presence of interactions. We study the possible experimental consequences of the exponential STOC on the Loschmidt echo and spectral function, establishing that this phenomenon might be observable in cold atomic experiments through Ramsey interference and radio-frequency spectroscopy.
机译：我们通过研究多体基态对局部猝灭的响应，研究单粒子和多体本地化系统中的统计正交性灾难（STOC）。通过使用定标参数和精确的数值计算，我们确定STOC导致猝灭前后基态之间的波函数重叠，该波动与系统尺寸成指数衰减，与众所周知的幂律安德森正交性形成鲜明对比金属系统中的灾难。此指数衰减源自统计电荷转移过程，在该过程中，粒子可以有效地“转移”到任意晶格部位。在多体局部化阶段，这种非局部迁移和相关的指数STOC现象在存在相互作用的情况下持续存在。我们研究了指数型STOC对Loschmidt回波和光谱函数的可能的实验结果，建立了这种现象在通过Ramsey干扰和射频光谱进行的冷原子实验中可能是可观察到的。

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  • 来源
    《Physical review》 |2015年第22期|220201.1-220201.5|共5页
  • 作者

    Dong-Ling Deng; J. H. Pixley; Xiaopeng Li; S. Das Sarma;

  • 作者单位

    Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA;

    Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA;

    Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA;

    Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA;

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  • 正文语种 eng
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  • 关键词

    localization effects (anderson or weak localization); theories and models; localized states; disordered solids; disordered solids;

    机译：本地化影响（安德森或弱本地化）;理论和模型;局部状态;无序固体无序固体;

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