作为渗流现象的多体局域化
Many-body localization as a percolation phenomenon
摘要：
我们研究了多体局域化（MBL）的标准模型，即，相互作用的无自旋费米子的无序链，通过将其表示为非相互作用局域安德森态的多体（MB）基础网络。通过研究本征态的完整的哈密顿量，对于强的障碍，我们发现，动力学被限制到很长的时间在Fock空间中断开MB集群。通过只保留共振贡献并将量子问题简化为MB态的速率方程（RE），与渗流问题类似，MBL跃迁通过普遍的簇分布和宏观簇的出现来定位。在遍历方面，我们的近似RE方法的弛豫过程捕获以及扩散输运，发现全量子模型。在一个广泛的瞬态制度，我们发现一个反常的，即，subdiffusilike，运输，从MB状态之间的弱联系出现。
英文摘要：
We examine the standard model of many-body localization (MBL), i.e., the disordered chain of interacting spinless fermions, by representing it as the network in the many-body (MB) basis of noninteracting localized Anderson states. By studying eigenstates of the full Hamiltonian, for strong disorders we find that the dynamics is confined up to very long times to disconnected MB clusters in the Fock space. By keeping only resonant contributions and simplifying the quantum problem to rate equations (REs) for MB states, in analogy with percolation problems, the MBL transition is located via the universal cluster distribution and the emergence of the macroscopic cluster. On the ergodic side, our approximate RE approach to the relaxation processes captures well the diffusion transport, as found for the full quantum model. In a broad transient regime, we find an anomalous, i.e., subdiffusivelike, transport, emerging from weak links between MB states.
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