量子多体伤痕与希尔伯特空间碎片:对精确结果的回顾

IF 19 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Reports on Progress in Physics Pub Date : 2021-09-01 DOI:10.1088/1361-6633/ac73a0

Sanjay Moudgalya, B. Bernevig, N. Regnault

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引用次数: 181

摘要

在Rydberg原子模拟器和Affleck-Kennedy-Lieb-Tasaki自旋-1链模型中发现的量子多体伤痕(QMBS)表明，弱的遍历性违反仍然可以导致丰富的实验和理论物理。在这篇综述中，我们通过费米子哈伯德模型等简单的例子，对孤立量子系统中通过QMBS进行弱遍历破缺的确切结果进行了教学介绍和概述。我们还讨论了各种机制和统一的形式，这些机制和形式已经被提出，以涵盖展示QMBS的过多系统。我们介绍了等间隔塔的例子，这些例子导致特定初始状态的精确恢复，以及QMBS的孤立例子。最后，我们回顾了Hilbert空间碎片化这一相关现象，其中系统表现出更丰富的遍历和非遍历行为，并讨论了它与QMBS的联系。

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Quantum many-body scars and Hilbert space fragmentation: a review of exact results

The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of ergodicity can still lead to rich experimental and theoretical physics. In this review, we provide a pedagogical introduction to and an overview of the exact results on weak ergodicity breaking via QMBS in isolated quantum systems with the help of simple examples such as the fermionic Hubbard model. We also discuss various mechanisms and unifying formalisms that have been proposed to encompass the plethora of systems exhibiting QMBS. We cover examples of equally-spaced towers that lead to exact revivals for particular initial states, as well as isolated examples of QMBS. Finally, we review Hilbert space fragmentation, a related phenomenon where systems exhibit a richer variety of ergodic and non-ergodic behaviors, and discuss its connections to QMBS.

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来源期刊

Reports on Progress in Physics 物理-物理：综合

CiteScore

31.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Reports on Progress in Physics is a highly selective journal with a mission to publish ground-breaking new research and authoritative invited reviews of the highest quality and significance across all areas of physics and related areas. Articles must be essential reading for specialists, and likely to be of broader multidisciplinary interest with the expectation for long-term scientific impact and influence on the current state and/or future direction of a field.