Integrability breaking in the Rule 54 cellular automaton

Author:

Lopez-Piqueres JavierORCID,Gopalakrishnan SarangORCID,Vasseur RomainORCID

Abstract

Abstract 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.

Funder

National Science Foundation

Alfred P. Sloan Foundation

Early Career Award

Basic Energy Sciences

US Department of Energy

NSF

Publisher

IOP Publishing

Subject

General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hydrodynamics of low-dimensional quantum systems;Journal of Physics A: Mathematical and Theoretical;2023-08-22

2. Integrability Breaking from Backscattering;Physical Review Letters;2023-06-13

3. Random Quantum Circuits;Annual Review of Condensed Matter Physics;2023-03-10

4. Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture;Physical Review X;2022-07-25

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