论文标题
部分可观测时空混沌系统的无模型预测
A note on the quasiperiodic many-body localization transition in dimension $d>1$
论文作者
论文摘要
近年来，多体定位（MBL）过渡的性质（MBL）过渡，甚至在随机多体量子系统中的存在。在空间尺寸$ d> 1 $中，有一些共识，即MBL相对于罕见的热包含不稳定，可以导致雪崩体现整个系统。在本说明中，我们探讨了尺寸$ d> 1 $的Quasiperiodic系统中MBL的可能性。我们认为（i）MBL相对于$ d = 2 $的足够强大的准二级调制稳定，并且（ii）雪崩的可能性强烈约束MBL过渡的有限尺寸缩放行为。我们提出了一种暗示性的结构，即MBL对于$ d \ geq 3 $不稳定。
The nature of the many-body localization (MBL) transition and even the existence of the MBL phase in random many-body quantum systems have been actively debated in recent years. In spatial dimension $d>1$, there is some consensus that the MBL phase is unstable to rare thermal inclusions that can lead to an avalanche that thermalizes the whole system. In this note, we explore the possibility of MBL in quasiperiodic systems in dimension $d>1$. We argue that (i) the MBL phase is stable at strong enough quasiperiodic modulations for $d = 2$, and (ii) the possibility of an avalanche strongly constrains the finite-size scaling behavior of the MBL transition. We present a suggestive construction that MBL is unstable for $d \geq 3$.
