Universal Defects Statistics with Strong Long-Range Interactions,Physical Review Letters

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Universal Defects Statistics with Strong Long-Range Interactions
Physical Review Letters ( IF 8.1 ) Pub Date : 2024-09-11 , DOI: 10.1103/physrevlett.133.113401
Stefano Gherardini _{1,

2} , Lorenzo Buffoni ₃ , Nicolò Defenu _{1,

4}

Affiliation

Quasi-static transformations, or slow quenches, of many-body quantum systems across quantum critical points generate topological defects. The Kibble-Zurek mechanism regulates the appearance of defects in a local quantum system through a classical combinatorial process. However, long-range interactions disrupt the conventional Kibble-Zurek scaling and lead to a density of defects that is independent of the rate of the transformation. In this Letter, we analytically determine the complete full counting statistics of defects generated by slow annealing a strong long-range system across its quantum critical point. We demonstrate that the mechanism of defect generation in long-range systems is a purely quantum process with no classical equivalent. Furthermore, universality is not only observed in the defect density but also in all the moments of the distribution. Our findings can be tested on various experimental platforms, including Rydberg gases and trapped ions.

Published by the American Physical Society

2024

中文翻译：

具有强长程交互作用的通用缺陷统计量

多体量子系统跨量子临界点的准静态变换或慢速猝灭会产生拓扑缺陷。Kibble-Zurek 机制通过经典组合过程调节局部量子系统中缺陷的外观。然而，长程相互作用破坏了传统的 Kibble-Zurek 缩放，并导致缺陷密度与转变速率无关。在这封信中，我们分析性地确定了强远程系统在其量子临界点上缓慢退火所产生的缺陷的完整完整计数统计数据。我们证明了远程系统中缺陷产生的机制是一个纯粹的量子过程，没有经典的等价物。此外，普遍性不仅体现在缺陷密度中，还体现在分布的所有时刻中。我们的研究结果可以在各种实验平台上进行测试，包括里德堡气体和囚禁离子。美国物理学会 2024 年出版

更新日期：2024-09-11

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