标题： 量子雪崩在保持$\mathbb{Z}_2$的相互作用伊辛马约拉纳链中 显示英文标题

标题： Quantum Avalanches in $\mathbb{Z}_2$-preserving Interacting Ising Majorana Chain

摘要： 最近的数值研究揭示了在有限系统尺寸和有限时间尺度下，无序量子多体系统中许多体局域化（MBL）相的不稳定性。这种不稳定性来源于热力学极限下的Griffith区域，这些区域迅速热化并影响周围的典型MBL区域，从而在系统中引入雪崩机制。在这里，我们考虑了一个保持$\mathbb{Z}_2$的相互作用Ising马约拉纳链模型，该模型表现出更复杂的相图，其中在两个具有不同长程序特性的MBL相之间出现了一个遍历相。我们在受到扰动的情况下计算了该模型与无限浴耦合时的动力学特性，并通过最慢热化率的标度行为，发现雪崩机制如何影响有限尺寸系统中的临界无序强度。我们还采用了嵌入包含模型，并利用每个自旋与人工Griffith区域之间的互信息的时间演化来探测热泡的扩散。我们观察到，在有限尺寸系统中，临界无序强度逐渐偏离中心。我们的工作表明，有限尺寸下MBL顺磁相和MBL自旋玻璃相都是不稳定的。 显示英文摘要

摘要： Recent numerical works have revealed the instability of many-body localized (MBL) phase in disordered quantum many-body systems with finite system sizes and over finite timescales. This instability arises from Griffith regions that occur at the thermodynamic limit, which rapidly thermalize and affect the surrounding typical MBL regions, introducing an avalanche mechanism into the system. Here, we consider the $\mathbb{Z}_2$-preserving interacting Ising Majorana chain model, which exhibits a more complex phase diagram, where an ergodic phase emerges between two MBL phases with different long-range order properties. We calculate the dynamic characteristics of the model when coupled to an infinite bath under perturbation, and through scaling behavior of the slowest thermalization rate, we find how critical disorder strengths in finite-size systems are affected by the avalanche mechanism. We also employe the embedded inclusion model and use the time evolution of mutual information between each spin and the artificial Griffith region to probe the diffusion of the thermal bubble. We observe that in finite-sized systems, the critical disorder strength gradually drifts away from the central. Our work demonstrate that both MBL paramagnetic phase and MBL spin-glass phase are unstable at finite sizes.