Ergodicity Breaking Transition in Zero Dimensions,Physical Review Letters

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Ergodicity Breaking Transition in Zero Dimensions
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-08-05 , DOI: 10.1103/physrevlett.129.060602
Jan Šuntajs ₁ , Lev Vidmar ₁

Affiliation

It is of great current interest to establish toy models of ergodicity breaking transitions in quantum many-body systems. Here, we study a model that is expected to exhibit an ergodic to nonergodic transition in the thermodynamic limit upon tuning the coupling between an ergodic quantum dot and distant particles with spin-

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. The model is effectively zero dimensional; however, a variant of the model was proposed by De Roeck and Huveneers to describe the avalanche mechanism of ergodicity breaking transition in one-dimensional disordered spin chains. We show that exact numerical results based on the spectral form factor calculation accurately agree with theoretical predictions, and hence unambiguously confirm existence of the ergodicity breaking transition in this model. We benchmark specific properties that represent hallmarks of the ergodicity breaking transition in finite systems.

中文翻译：

零维中的遍历性中断过渡

在量子多体系统中建立遍历性断裂跃迁的玩具模型具有很大的当前意义。在这里，我们研究了一个模型，该模型在调整遍历量子点和具有自旋的远距离粒子之间的耦合时，有望在热力学极限中表现出遍历到非遍历的转变。

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. 该模型实际上是零维的；然而，De Roeck 和 Huveneers 提出了该模型的一个变体，用于描述一维无序自旋链中遍历性断裂跃迁的雪崩机制。我们表明，基于光谱形状因子计算的精确数值结果与理论预测准确一致，因此明确地证实了该模型中遍历性断裂转变的存在。我们对代表有限系统中遍历性中断转换标志的特定属性进行基准测试。

更新日期：2022-08-05

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