论文标题

规则54蜂窝自动机中的可集成性破坏

Integrability breaking in the Rule 54 cellular automaton

论文作者

Lopez-Piqueres, Javier, Gopalakrishnan, Sarang, Vasseur, Romain

论文摘要

当测试床以探索多体量子混乱和流体动力学的出现时,细胞自动机最近引起了很多关注。我们考虑规则54模型,这是最简单的可相互作用的集成模型之一,具有两种准粒子(孤子),并在存在允许孤子造成反向散射的可集成性扰动的情况下。我们研究了该模型中的热化和扩散流体动力学的发作,对示踪剂颗粒的扩散常数进行扰动,并评论其与运输系数的关系。

Cellular automata have recently attracted a lot of attention as testbeds to explore the emergence of many-body quantum chaos and hydrodynamics. We consider the Rule 54 model, one of the simplest interacting integrable models featuring two species of quasiparticles (solitons), in the presence of an integrability-breaking perturbation that allows solitons to backscatter. We study the onset of thermalization and diffusive hydrodynamics in this model, compute perturbatively the diffusion constant of tracer particles, and comment on its relation to transport coefficients.

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