20.500.12556/DKUM-86138 Quantum chaos in triangular billiards We present an extensive numerical study of spectral statistics and eigenfunctions of quantized triangular billiards. We compute two million consecutive eigenvalues for six representative cases of triangular billiards, three with generic angles with irrational ratios with π, whose classical dynamics is presumably mixing, and three with exactly one angle rational with π, which are presumably only weakly mixing or even nonergodic in case of right triangles. We find excellent agreement of short- and long-range spectral statistics with the Gaussian orthogonal ensemble of random matrix theory for the most irrational generic triangle, while the other cases show small but significant deviations which are attributed either to a scarring or superscarring mechanism. This result, which extends the quantum chaos conjecture to systems with dynamical mixing in the absence of hard (Lyapunov) chaos, has been corroborated by analyzing distributions of phase-space localization measures of eigenstates and inspecting the structure of characteristic typical and atypical eigenfunctions. quantum physics quantum chaos quantum scars wave chaos billiards chaos and nonlinear dynamics ergodic theory kvantna fizika kvantni kaos kvantne brazgotine valovni kaos biljardi kaos in nelinearna dinamika ergodična teorija true false true American Physical Society Angleški jezik Slovenski jezik Znanstveno delo 2023-10-12 09:05:56 2023-10-12 10:10:32 2023-10-16 09:48:06 0000-00-00 00:00:00 2022 0 0 Str. 1-22 Št. 1, št. članka 013138 Letn. 4 2022 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2021-11-17 2022-01-24 2022-02-18 530.145 98702851 10.1103/PhysRevResearch.4.013138 2643-1564 Quantum_chaos_in_triangular_billiards_Crt_2022.pdf Quantum_chaos_in_triangular_billiards_Crt_2022.pdf 1 113BD7F844EED0A974D222BBF30E6FD8 30add94630c435b75cf54e59a9d9f6188e3f3f913734c51bdda2c3a4dbee57af 3eaf1d3a-68cf-11ee-a17d-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=173503 https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.4.013138 1 cbb2f9e9-68cd-11ee-a17d-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=173502 Univerza v Mariboru 0 0 0