We study the out-of-equilibrium dynamics of the quantum cellular automaton known as "Rule 54." For a class of low-entangled initial states, we provide an analytic description of the effect of the global evolution on finite subsystems in terms of simple quantum channels, which gives access to the full thermalization dynamics at the microscopic level. As an example, we provide analytic formulas for the evolution of local observables and Renyi entropies. We show that, in contrast to other known examples of exactly solvable quantum circuits, Rule 54 does not behave as a simple Markovian bath on its own parts, and displays typical nonequilibrium features of interacting integrable many-body quantum systems such as finite relaxation rate and interaction-induced dressing effects. Our study provides a rare example where the full thermalization dynamics can be solved exactly at the microscopic level.

Katja Klobas, Bruno Bertini, Lorenzo Piroli (2021). Exact Thermalization Dynamics in the Rule 54 Quantum Cellular Automaton. PHYSICAL REVIEW LETTERS, 126(16), 1-7 [10.1103/physrevlett.126.160602].

Exact Thermalization Dynamics in the Rule 54 Quantum Cellular Automaton

Lorenzo Piroli
Ultimo
2021

Abstract

We study the out-of-equilibrium dynamics of the quantum cellular automaton known as "Rule 54." For a class of low-entangled initial states, we provide an analytic description of the effect of the global evolution on finite subsystems in terms of simple quantum channels, which gives access to the full thermalization dynamics at the microscopic level. As an example, we provide analytic formulas for the evolution of local observables and Renyi entropies. We show that, in contrast to other known examples of exactly solvable quantum circuits, Rule 54 does not behave as a simple Markovian bath on its own parts, and displays typical nonequilibrium features of interacting integrable many-body quantum systems such as finite relaxation rate and interaction-induced dressing effects. Our study provides a rare example where the full thermalization dynamics can be solved exactly at the microscopic level.
2021
Katja Klobas, Bruno Bertini, Lorenzo Piroli (2021). Exact Thermalization Dynamics in the Rule 54 Quantum Cellular Automaton. PHYSICAL REVIEW LETTERS, 126(16), 1-7 [10.1103/physrevlett.126.160602].
Katja Klobas; Bruno Bertini; Lorenzo Piroli
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/941494
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