20.500.12556/RUL-155001 Two-step relaxation in local many-body Floquet systems We want to understand how relaxation process from an initial non-generic state proceeds towards a long-time typical state reached under unitary quantum evolution. One would expect that after some initial correlation time relaxation will be a simple exponential decay with constant decay rate. We show that this is not necessarily the case. Studying various Floquet systems with fixed two-qubit gates, and focusing on purity and out-of-time-ordered correlation functions, we find that in many situations relaxation proceeds in two phases of exponential decay having different relaxation rates. Namely, in the thermodynamic limit the relaxation rate exhibits a change at a critical time proportional to system's size. The initial thermodynamically relevant rate can be slower or faster than the asymptotic one, demonstrating that the recently discovered phantom relaxation, in which the decay is slower than predicted by a nonzero transfer matrix gap, is not limited to only random circuits. statistical physics quantum mechanics Floquet systems complexity dynamics statistična fizika kvantna mehanika true false true Angleški jezik Slovenski jezik Članek v reviji 2024-03-13 13:01:49 2024-03-13 13:01:50 2024-03-28 12:34:09 0000-00-00 00:00:00 2023 0 0 14 str. no. 43, art. no. 434001 Vol. 56 Oct. 2023 0000-00-00 Zaloznikova NiDoloceno NiDoloceno 0000-00-00 0000-00-00 2023-10-09 536.93 1751-8113 10.1088/1751-8121/acfc05 188707331 Znidaric_2023_J._Phys._A__Math._Theor._56_434001.pdf Znidaric_2023_J._Phys._A__Math._Theor._56_434001.pdf 1 EA22D3D44296D1F21DA8824F6254768F 81555b38f0e76d6a2e01efde50eb6c8f1671daa3bf91765faec2e04196da7136 9aa56411-e131-11ee-88aa-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=181703 https://iopscience.iop.org/article/10.1088/1751-8121/acfc05 0 a4be8675-e131-11ee-88aa-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=181704 Fakulteta za matematiko in fiziko 0 0 0