Exact Quench Dynamics of the Floquet Quantum East Model at the Deterministic Point

Bertini, Bruno; De Fazio, Cecilia; Garrahan, Juan P.; Klobas, Katja

Abstract

We study the nonequilibrium dynamics of the Floquet quantum East model (a Trotterized version of the kinetically constrained quantum East spin chain) at its “deterministic point,” where evolution is defined in terms of CNOT permutation gates. We solve exactly the thermalization dynamics for a broad class of initial product states by means of “space evolution.” We prove: (i) the entanglement of a block of spins grows at most at one-half the maximal speed allowed by locality (i.e., half the speed of dual-unitary circuits); (ii) if the block of spins is initially prepared in a classical configuration, speed of entanglement is a quarter of the maximum; (iii) thermalization to the infinite temperature state is reached exactly in a time that scales with the size of the block.

Citation

Bertini, B., De Fazio, C., Garrahan, J. P., & Klobas, K. (2024). Exact Quench Dynamics of the Floquet Quantum East Model at the Deterministic Point. Physical Review Letters, 132(12), Article 120402. https://doi.org/10.1103/physrevlett.132.120402

• Journal Article Type: Article
• Acceptance Date: Feb 6, 2025
• Online Publication Date: Mar 22, 2024
• Publication Date: Mar 22, 2024
• Deposit Date: Mar 24, 2025
• Publicly Available Date: Mar 24, 2025
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 132
• Issue: 12
• Article Number: 120402
• DOI: https://doi.org/10.1103/physrevlett.132.120402
• Public URL: https://nottingham-repository.worktribe.com/output/33028145
• Publisher URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.132.120402