标题： 非厄米多极体皮层效应挑战局域化 显示英文标题

标题： Non-Hermitian Multipole Skin Effects Challenge Localization

摘要： 我们研究了淬火无序对守恒U(1)荷及其相关多重矩的非厄米皮层效应的影响。 特别是，我们将Hatano-Nelson关于无序非互易系统局域化转变的论证推广到相互作用情形。 当仅守恒U(1)荷时，我们证明存在一种相变，从皮层效应相（电荷聚集在边界）到多体局域化相（电荷局域在随机位置）。 在纠缠动力学中，这与面积律到体积律的转变相一致。 对于无边界的系统，皮层效应变为具有单向电流的去局域相。 如果偶极子或更高多重矩被守恒，则我们证明非厄米皮层效应在任意无序下仍然稳定。 出人意料的是，因此在周期性边界条件下，系统总是处于去局域状态，无论无序强度如何。 显示英文摘要

摘要： We study the effect of quenched disorder on the non-Hermitian skin effect in systems that conserve a U(1) charge and its associated multipole moments. In particular, we generalize the Hatano-Nelson argument for a localization transition in disordered, non-reciprocal systems to the interacting case. When only U(1) charge is conserved, we show that there is a transition between a skin effect phase, in which charges cluster at a boundary, and a many-body localized phase, in which charges localize at random positions. In the dynamics of entanglement, this coincides with an area to volume law transition. For systems without boundaries, the skin effect becomes a delocalized phase with a unidirectional current. If dipoles or higher multipoles are conserved, we show that the non-Hermitian skin effect remains stable to arbitrary disorder. Counterintuitively, the system is therefore always delocalized under periodic boundary conditions, regardless of disorder strength.