Chaos and thermalization in Clifford-Floquet dynamics
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908901663834112 |
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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 |
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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 |