Dresden 2020 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 44: Quantum Chaos (joint session DY/TT)
TT 44.10: Talk
Wednesday, March 18, 2020, 17:45–18:00, HÜL 186
What is the structure of chaotic resonance eigenfunctions? — •Roland Ketzmerick1,2, Konstantin Clauß1, Felix Fritzsch1, and Arnd Bäcker1,2 — 1TU Dresden, Institut für Theoretische Physik — 2MPI für Physik komplexer Systeme, Dresden
While chaotic eigenfunctions in closed systems are uniformly distributed according to the quantum ergodicity theorem, they show fractal structures in systems with escape. This structure depends crucially on the decay rate of the resonance eigenfunction. It is semiclassically quite well understood for quantum maps with full [1] and partial [2] escape. Here we present the extension to billiard systems, in particular the famous three-disk system (full escape) and the dielectric limaçon billiard relevant for optical microcavities (partial escape).
[1] K. Clauß, M. J. Körber, A. Bäcker, and R. Ketzmerick, Phys. Rev. Lett. 121, 074101 (2018).
[2] K. Clauß, E. G. Altmann, A. Bäcker, and R. Ketzmerick, Phys. Rev. E 100, 052205 (2019).