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Many-Body Localization with Long-Range Interactions

机译:许多身体定位,远程相互作用

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Many-body localization (MBL) has emerged as a powerful paradigm for understanding nonequilibrium quantum dynamics. Folklore based on perturbative arguments holds that MBL arises only in systems with short-range interactions. Here, we advance nonperturbative arguments indicating that MBL can arise in systems with long-range (Coulomb) interactions, through a mechanism we dub “order enabled localization.” In particular, we show using bosonization that MBL can arise in one-dimensional systems with ~ r interactions, a problem that exhibits charge confinement. We also argue that (through the Anderson-Higgs mechanism) MBL can arise in two-dimensional systems with log r interactions, and speculate that our arguments may even extend to three-dimensional systems with 1 / r interactions. Our arguments are asymptotic (i.e., valid up to rare region corrections), yet they open the door to investigation of MBL physics in a wide array of long-range interacting systems where such physics was previously believed not to arise.
机译:许多身体本地化(MBL)被出现为一个强大的范例,以了解非质量Quantum动态。基于扰动争论的民间传说持有MBL仅在具有短程交互的系统中出现。在这里,我们通过我们配合“顺序本地化的机制”,我们推进了非触发参数,这表明MBL可以在具有远程(库仑)交互的系统中。特别是,我们使用展示MBL可以在具有〜R交互中的一维系统中出现MBL,这是一种展示电荷限制的问题。我们还认为(通过Anderson-Higgs机制)MBL可以在具有Log R交互的二维系统中出现,并推测我们的参数甚至可以扩展到具有1 / R交互的三维系统。我们的论点是渐近的(即,有效地纠正了稀有区域矫正),但它们在广泛的远程相互作用系统中打开了调查MBL物理的门,其中先前认为这种物理学不出现。

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