5 papers
Perturbed quantum billiards on the hyperbolic plane
Matic Orel
We study the emergence of generic quantum chaos from an arithmetic billiard in the hyperbolic plane. Starting from an arithmetic triangle, we introduce small area-preserving geomet…
Spectral statistics and localization properties of a -symmetric billiard
Matic Orel, Marko Robnik
We revisit the spectral statistics of the C--symmetric billiard introduced by Dembowski [Phys. Rev. E, R4516 (2000)], which exhibits both GOE and GUE statistics depending on th…
Correspondence principle, dissipation, and Ginibre ensemble
David Villaseñor, Hua Yan, Matic Orel +1
The correspondence between quantum and classical behavior has been essential since the advent of quantum mechanics. This principle serves as a cornerstone for understanding quantum…
Quantum chaos and semiclassical behavior in mushroom billiards II: Structure of quantum eigenstates and their phase space localization properties
Matic Orel, Marko Robnik
We investigate eigenstate localization in the phase space of the Bunimovich mushroom billiard, a paradigmatic mixed-phase-space system whose piecewise- boundary yields a sin…
Quantum chaos and semiclassical behavior in mushroom billiards I: Spectral statistics
Matic Orel, Ärt Lozej, Marko Robnik +1
We study the aspects of quantum chaos in mushroom billiards introduced by Bunimovich. This family of billiards classically has the property of mixed phase space with precisely one…