The venerable phenomena of Anderson localization, along with the much more recent many-body localization, both depend crucially on the presence of disorder. The latter enters either in the form of quenched disorder in the parameters of the Hamiltonian, or through a special choice of a disordered initial state. Here we present a model with localization arising in a very simple, completely translationally invariant quantum model, with only local interactions between spins and fermions. By identifying an extensive set of conserved quantities, we show that the system generates purely dynamically its own disorder, which gives rise to localization of fermionic degrees of freedom. Our work gives an answer to a decades old question whether quenched disorder is a necessary condition for localization. It also offers new insights into the physics of many-body localization, lattice gauge theories, and quantum disentangled liquids.
Many-body localization in a disordered quantum Ising chain
当有限相互作用下安德森局域化持续存在时，孤立量子系统中发生多体局域化。尽管有强有力的证据表明存在一个多体局域化过渡的临界无序强度的可靠提取是困难的，由于一个大的漂移与系统的大小在研究的数量。在这项工作中，我们探讨了两个纠缠特性，是有希望的研究多体局域化转变：半链纠缠熵的变化的确切本征态和长时间的变化后，纠缠的本地淬火从一个确切的本征态。我们研究了无序量子伊辛链中的这些量，并用它们来估计临界无序强度及其能量依赖性。此外，我们分析了自旋玻璃化转变在大的无序强度，并提供证据，它是一个单独的过渡。因此，我们对最近提出的具有局域化保护量子序的多体局域化相图[Huse et al. Phys. Rev. B 88，014206（2013）]给出了数值支持。
Typical medium theory of Anderson localization: A local order parameter approach to strong disorder effects
本文提出了一种安德森局域化的自洽理论，给出了一种简单的算法，得到了作为序参量的\emph{typical local density of states}，从而再现了无序电子问题标准晶格模型中局域-离域量子相变相图的基本特征.由于我们的理论的局部特性，它可以很容易地结合动力学平均场方法强关联电子，从而打开一个真正的{ \em非微扰}治疗的强相互作用和强无序的相互作用有吸引力的途径。
