Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems

DY 53.15: Poster

Thursday, March 19, 2020, 15:00–18:00, P1A

Entanglement in coupled kicked tops with chaotic dynamics — •Tabea Herrmann¹, Maximilian Kieler¹, Felix Fritzsch¹, and Arnd Bäcker^{1, 2} — ¹TU Dresden, Institut für Theoretische Physik — ²MPI für Physik komplexer Systeme, Dresden

The entanglement of eigenstates in two coupled, classically chaotic kicked tops is studied in dependence of their interaction strength. Governed by a universal scaling parameter, the statistics of level spacings, entanglement entropies, and the Schmidt eigenvalues undergo a transition from the non-interacting system towards full random matrix behavior [1]. Universality is found not only for equally sized large subsystems but also when one subsystem is small. Introducing a suitable random matrix transition ensemble allows for deriving the transition parameter. Combining the random matrix approach with perturbation theory leads to an accurate description of the initial phase of the transition. In the case of the entanglement entropies this can be extended to the whole transition.

[1] arXiv:1910.13447 [quant-ph] (2019)