论文标题
多体混乱和跨热相变的异常扩散在两个维度
Many-body chaos and anomalous diffusion across thermal phase transitions in two dimensions
论文作者
论文摘要
混乱是经典动力系统的重要特征。混乱如何与跨阶段和相变的集体模式的长期动态联系在一起？我们通过研究古典XXZ模型中的iSing和Kosterlitz-无与伦比的过渡来解决这一问题。我们表明，时空混沌特性在过渡过程中具有交叉，并且在高温和低温相中，分别显示出正常和异常的扩散。我们的结果还为在半经典限制下对相互作用的量子系统的动态提供了新的见解。
Chaos is an important characterization of classical dynamical systems. How is chaos linked to the long-time dynamics of collective modes across phases and phase transitions? We address this by studying chaos across Ising and Kosterlitz-Thouless transitions in classical XXZ model. We show that spatio-temporal chaotic properties have crossovers across the transitions and distinct temperature dependence in the high and low-temperature phases which show normal and anomalous diffusions, respectively. Our results also provide new insights into the dynamics of interacting quantum systems in the semiclassical limit.
