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TT: Fachverband Tiefe Temperaturen

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

TT 29.8: Talk

Tuesday, March 19, 2024, 11:30–11:45, A 151

Semiclassical eigenstate entanglement of bipartite Floquet systems — •Maximilian F.I. Kieler and Arnd Bäcker — TU Dresden, Institute of Theoretical Physics, Dresden, Germany

Strongly coupled quantum systems are expected to show the same amount of entanglement as random states. However, many body systems typically have an inherent multi-partite structure, and it is not clear, how this influences the entanglement. We show for the case of chaotic, bipartite quantum maps, that the eigenstate entanglement coincides up to leading order with the random matrix result. For this the eigenstate entanglement is transferred into a dynamical quantity and evaluated using semiclassical methods. The result is given in terms of periodic orbits of the subsystems. Interestingly, the coupling acts as synchronization between these orbits, only.

Keywords: Entanglement; Semiclassics; Floquet systems; Random matrix theory; Chaotic systems