论文标题
零尺寸的磨性破坏过渡
Ergodicity breaking transition in zero dimensions
论文作者
论文摘要
在量子多体系统中建立超值破坏过渡的玩具模型是当前的兴趣。在这里，我们研究了一个模型，该模型预计将在热力学限制中表现出千古化至非连续性跃迁，以调节具有旋转1/2的ergodic量子点和远处粒子之间的耦合。该模型实际上是零维的，但是，De Roeck和Huveneers提出了该模型的一种变体，以描述一维无序的自旋链中的千野型破坏过渡的雪崩机制。我们表明，基于光谱形式计算的确切数值结果与理论预测完全吻合，因此在此模型中明确确认了Ergodicitigity断开过渡的存在。我们基于代表有限系统中奇质性破坏过渡的标志的特定特定属性。
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-1/2. 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.
