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Dynamics of strongly interacting systems: From Fock-space fragmentation to many-body localization

机译：强互动系统的动态：从套管空间碎片到许多身体定位

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摘要

We study the t-V disordered spinless fermionic chain in the strong-coupling regime, t/V - 0. Strong interactions highly hinder the dynamics of the model, fragmenting its Hilbert space into exponentially many blocks in system size. Macroscopically, these blocks can be characterized by the number of new degrees of freedom, which we refer to as movers. We focus on two limiting cases: blocks with only one mover and ones with a finite density of movers. The former many-particle block can be exactly mapped to a single-particle Anderson model with correlated disorder in one dimension. As a result, these eigenstates are always localized for any finite amount of disorder. The blocks with a finite density of movers, on the other side, show a many-body localized (MBL) transition that is tuned by the disorder strength. Moreover, we provide numerical evidence that its ergodic phase is diffusive at weak disorder. Approaching the MBL transition, we observe subdiffusive dynamics at finite timescales and find indications that this might be only a transient behavior before crossing over to diffusion.
机译：我们在强耦合状态下研究T-V无紊乱的无偏心米子链，T / V - > 0.强相互作用高度阻碍了模型的动态，将其希尔伯特空间分割成指数尺寸的许多块。宏观上，这些块可以被特征在于我们称之为搬运工的新程度的自由度。我们专注于两个限制案例：只有一个动感器和具有有限举起的搬运工的块。前一种粒子块可以精确地映射到具有一个维度相关紊乱的单粒子和孤立模型。结果，这些特征始终是局部化的任何有限的疾病。另一侧具有有限密度的搬运工的块，显示出由无序强度调谐的许多身体局部（MBL）转变。此外，我们提供其遍历阶段在弱紊乱中扩散的数值证据。接近MBL转型，我们在有限时间表上观察到沉闷的动态，并找到迹象表明，这可能只是在交叉到扩散之前的瞬态行为。

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  • 来源
    《Physical review》 |2019年第21期|214313.1-214313.15|共15页
  • 作者

    De Tomasi Giuseppe; Hetterich Daniel; Sala Pablo; Pollmann Frank;

  • 作者单位

    Cavendish Lab TCM Grp JJ Thomson Ave Cambridge CB3 0HE England|Tech Univ Munich Dept Phys D-85747 Garching Germany;

    Tech Univ Munich Dept Phys D-85747 Garching Germany;

    Tech Univ Munich Dept Phys D-85747 Garching Germany|MCQST Schellingstr 4 D-80799 Munich Germany;

    Tech Univ Munich Dept Phys D-85747 Garching Germany|MCQST Schellingstr 4 D-80799 Munich Germany;

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