20.500.12556/RUL-164407 Classification of same-gate quantum circuits and their space-time symmetries with application to the level-spacing distribution We study Floquet systems with translationally invariant nearest-neighbor two-site gates. Depending on the order in which the gates are applied on an N-site system with periodic boundary conditions, there are factorially many different circuit configurations. We prove that there are only N − 1 different spectrally equivalent classes, which can be viewed either as a generalization of the brick wall or of the staircase configuration. Every class, characterized by two integers, has a nontrivial space-time symmetry with important implications for the levelspacing distribution — a standard indicator of quantum chaos. Namely, in order to study chaoticity one should not look at eigenphases of the Floquet propagator itself, but rather at the spectrum of an appropriate root of the propagator. quantum physics quantum chaos nonlinear dynamics Floquet systems kvantna fizika kvantni kaos nelinearna dinamika Floquetovi sistemi true false true Angleški jezik Slovenski jezik Članek v reviji 2024-10-24 11:25:09 2024-10-24 11:25:10 2024-11-22 14:54:13 0000-00-00 00:00:00 2024 0 0 Str. 023068-1-023068-11 iss. 2 Vol. 6 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 530.145 2643-1564 10.1103/PhysRevResearch.6.023068 212807939 PhysRevResearch.6.023068.pdf PhysRevResearch.6.023068.pdf 1 2C548154ECD7D2FA89EAC2401C1B6116 44223651d5cc7d36d9bf4cd4ec7a2db6773f5eab63cc6d71e79048560d354229 cd90bfab-91ea-11ef-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=194767 Fakulteta za matematiko in fiziko 0 0 0