Integrability breaking in the Rule 54 cellular automaton

Javier Lopez-Piqueres; Sarang Gopalakrishnan; Romain Vasseur

doi:10.1088/1751-8121/ac6b66

Integrability breaking in the Rule 54 cellular automaton

Javier Lopez-Piqueres, Sarang Gopalakrishnan, Romain Vasseur

Physics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English (US)
Article number	234005
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	55
Issue number	23
DOIs	https://doi.org/10.1088/1751-8121/ac6b66
State	Published - Jun 10 2022

All Science Journal Classification (ASJC) codes

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

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10.1088/1751-8121/ac6b66

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AB - 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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Integrability breaking in the Rule 54 cellular automaton

Abstract

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