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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
Donnerstag, 19. März 2020, 15:00–18:00, P1A
Entanglement in coupled kicked tops with chaotic dynamics — •Tabea Herrmann1, Maximilian Kieler1, Felix Fritzsch1, and Arnd Bäcker1, 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)