20.500.12556/DKUM-93521 Spacing ratios in mixed-type systems The distribution of the consecutive level-spacing ratio is now widely used as a tool to distinguish integrable from chaotic quantum spectra, mostly due to its avoidance of the numerical spectral unfolding. Like the use of the Rosenzweig-Porter approach to obtain the Berry-Robnik distribution of level spacings in mixed-type systems, in this paper, we extend this approach to analytically derive the distribution of spacing ratios for random matrices comprised of independent integrable blocks and chaotic blocks. We have numerically confirmed this analytical result using random matrix theory in paradigmatic models such as the quantum kicked rotor and the Hénon-Heiles system. level-spacing ratios mixed-type systems distribution of spacing ratios paradigmatic models razmerja razmikov med nivoji sistemi mešanega tipa porazdelitev razmerij razmikov paradigmatični modeli true false true American Physical Society Angleški jezik Slovenski jezik Znanstveno delo 2025-07-01 03:09:34 2025-11-03 12:32:09 2025-11-06 09:52:19 0000-00-00 00:00:00 2025 0 0 Str. 1-13 št. 5, št. članka 054213 Letn. 111 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2025-02-07 2025-05-01 2025-05-19 530.145 236596227 10.1103/PhysRevE.111.054213 2470-0045 Yan_2025_Spacing_ratios_in_mixed-type_systems.pdf Yan_2025_Spacing_ratios_in_mixed-type_systems.pdf 1 3910BB23F7AC5253478A0F7E7F4ABFD8 9e990a02c15ac71be82da22ce9205ba99741c4e43903c032980abb8024cddc7f 8b2793e2-b8a8-11f0-b13b-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=200348 https://doi.org/10.1103/PhysRevE.111.054213 0 48e42bc2-9ec1-11f0-823e-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=199463 Univerza v Mariboru 0 0 0