Exact quench dynamics of the Floquet quantum East model at the deterministic point

• URL: http://arxiv.org/abs/2310.06128v2
• Date: Fri, 19 Apr 2024 11:42:19 GMT
• Title: Exact quench dynamics of the Floquet quantum East model at the deterministic point
• Authors: Bruno Bertini, Cecilia De Fazio, Juan P. Garrahan, Katja Klobas,
• Abstract summary: We study the nonequilibrium dynamics of the Floquet quantum East model at its "deterministic point" We solve exactly the thermalization dynamics for a broad class of initial product states by means of "space evolution"
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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