Chaos and thermalization in Clifford-Floquet dynamics

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Bibliographic Details
Main Authors:	Kapustin, Anton, Radamovich, Daniil
Format:	Preprint
Published:	2026
Subjects:	Quantum Physics Statistical Mechanics Mathematical Physics
Online Access:	Acceder al recurso
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author	Kapustin, Anton Radamovich, Daniil
author_facet	Kapustin, Anton Radamovich, Daniil
contents	We study the ergodic properties of a unitary Floquet dynamics arising from the repeated application of a translationally-invariant Clifford Quantum Cellular Automata to an infinite system of qubits in d dimensions. One expects that if the QCA does not exhibit any periodicity, a generic initial state of qubits will thermalize, that is, approach the infinite-temperature state. We show that this is true for many classes of states, both pure and mixed. In particular, this is true for all initial states that are short-range entangled and close to the equilibrium state. We also point out a subtle distinction between weak and strong thermalization.
format	Preprint
id	arxiv_https___arxiv_org_abs_2601_00511
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	Chaos and thermalization in Clifford-Floquet dynamics Kapustin, Anton Radamovich, Daniil Quantum Physics Statistical Mechanics Mathematical Physics We study the ergodic properties of a unitary Floquet dynamics arising from the repeated application of a translationally-invariant Clifford Quantum Cellular Automata to an infinite system of qubits in d dimensions. One expects that if the QCA does not exhibit any periodicity, a generic initial state of qubits will thermalize, that is, approach the infinite-temperature state. We show that this is true for many classes of states, both pure and mixed. In particular, this is true for all initial states that are short-range entangled and close to the equilibrium state. We also point out a subtle distinction between weak and strong thermalization.
title	Chaos and thermalization in Clifford-Floquet dynamics
topic	Quantum Physics Statistical Mechanics Mathematical Physics
url	https://arxiv.org/abs/2601.00511

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