Many-body chaos and anomalous diffusion across thermal phase transitions in two dimensions
arXiv:2007.12708 · doi:10.21468/SciPostPhys.11.5.087
Abstract
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.
arXiv comment30 pages, 16 figures, Submission to SciPost
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