Non-equilibrium dynamics in exactly solvable cellular automata

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• Juan Garrahan (Nottingham)
• Thursday 13 February 2020, 13:15-14:45
• Theory Library.

If you have a question about this talk, please contact Dr Hannah Price.

Note the new time for Theory seminars this term

In both classical and quantum non-equilibrium there is currently much interest in systems with constrained dynamics. I will consider one class of such problems, that of deterministic classical cellular automata, specifically the “Rule 54” and “Rule 201” CAs. These correspond to the discrete time (i.e. classical circuit) reversible versions of two stochastic models which originate from problems in classical glasses or in blockade dynamics of Rydberg atoms, the Fredicskon-Andersen and the PXP kinetically constrained model, respectively (and thus the CA analogs go also by the names of Floquet-FA and Floquet-PXP). I will show how these CAs are integrable – yet interacting – and how many properties of their dynamics, such as their non-equilibrium steady states and the statistics of dynamical fluctuations, can be computed exactly using matrix product states. I will discuss classical and quantum extensions to these results.

This talk is part of the Theoretical Physics Seminars series.

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