Integrability breaking in cellular automata
ORAL
Abstract
Cellular automata have recently attracted much attention as testbeds where to explore the interplay of quantum chaos, integrability, and hydrodynamics. In this work we study the Rule 54 model, perhaps the simplest non-trivial quantum integrable model, which features two species of solitons. On the first part of the talk I will show how the recently developed generalized hydrodynamics (GHD) framework allows us to analytically calculate transport coefficients which we verify by means of first-principle numerical simulations. In the second part of the talk I will show how the breaking of integrability in the model can lead to a crossover from the standard Boltzmann-type exponential relaxation at short times to anomalous transport at intermediate times.
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Presenters
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Javier Lopez-Piqueres
University of Massachusetts Amherst
Authors
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Javier Lopez-Piqueres
University of Massachusetts Amherst
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Sarang Gopalakrishnan
Dept. of Physics and Astronomy, College of Staten Island, City University of New York, CUNY College of Staten Island, Physics, CUNY College of Staten Island, The Graduate Center, CUNY, Department of Physics and Astronomy, CUNY College of Staten Island, CUNY College of Staten Island, CUNY Graduate Center, Physics and Astronomy, CUNY-CSI, Graduate Center, CUNY, New York, NY 10016, USA; Physics and Astronomy, College of Staten Island, Staten Island, NY 10314, USA
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Romain Vasseur
University of Massachusetts Amherst, University of Massachusetts, Amherst