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TT: Fachverband Tiefe Temperaturen

TT 29: Many-Body Systems: Equilibration, Chaos, and Localization (joint session DY/TT)

TT 29.10: Talk

Tuesday, March 19, 2024, 12:00–12:15, A 151

Deviations from random matrix entanglement statistics for kicked quantum chaotic spin-1/2 chains — •Tabea Herrmann, Roland Brandau, and Arnd Bäcker — TU Dresden, Institute of Theoretical Physics, Dresden, Germany

It is commonly expected that for quantum chaotic systems the statistical properties approach those of random matrices with increasing system size. We demonstrate for various kicked spin-1/2 chain models that the average eigenstate entanglement indeed approaches the random matrix result. However, the distribution of the eigenstate entanglement differs significantly. While for autonomous systems such deviations are expected, they are surprising for the more scrambling kicked systems. We attribute the origin of the deviations to the local 2×2 substructure. This is supported by similar deviations occurring in a local random matrix model with global diagonal coupling.

Keywords: Eigenstate entanglement; many body quantum chaos; Floquet system; random matrix theory; kicked spin chain