TY - JOUR
T1 - Integrability breaking in the Rule 54 cellular automaton
AU - Lopez-Piqueres, Javier
AU - Gopalakrishnan, Sarang
AU - Vasseur, Romain
N1 - Funding Information:
This work was supported by the National Science Foundation under NSF Grant No. DMR-1653271 (SG), the US Department of Energy, Office of Science, Basic Energy Sciences, under Early Career Award No. DE-SC0019168 (RV and JL), and the Alfred P Sloan Foundation through a Sloan Research Fellowship (RV).
Publisher Copyright:
© 2022 IOP Publishing Ltd.
PY - 2022/6/10
Y1 - 2022/6/10
N2 - 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.
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.
KW - cellular automata
KW - hydrodynamics
KW - integrability breaking
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U2 - 10.1088/1751-8121/ac6b66
DO - 10.1088/1751-8121/ac6b66
M3 - Article
AN - SCOPUS:85130716067
SN - 1751-8113
VL - 55
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 23
M1 - 234005
ER -