Integrability breaking in the Rule 54 cellular automaton. (10th June 2022)

• Record Type: Journal Article
• Authors: Lopez-Piqueres, Javier; Gopalakrishnan, Sarang; Vasseur, Romain
• Is Part Of: Journal of physics. Volume 55:Number 23(2022)
• Publication Date: 2022-06-10
• Subjects: integrability breaking -- cellular automata -- hydrodynamics; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ac6b66
• Languages: English
• ISSNs: 1751-8113

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.