20.500.12556/RUL-155020 Relaxation of imbalance in a disordered XX model with on-site dephasing The relaxation of observables to their nonequilibrium steady states in a disordered XX chain subjected to dephasing at every site has been intensely studied in recent years. We comprehensively analyze the relaxation of staggered magnetization, i.e., imbalance, in such a system, starting from the Néel initial state. We analytically predict emergence of several timescales in the system and extract results which match with large-system numerics without any extra fitting parameter until a universal timescale. An often reported stretched exponential decay is just one of the regimes which holds in a finite window of time and is therefore in fact not a true stretched exponential decay. Subsequently, the asymptotic decay of imbalance is governed by a power law irrespective of the disorder. We show that this emerges from the continuum limit of the low magnitude eigenspectrum of the Liouvillian. However, for finite systems, due to discreteness of the spectrum, the final phase of relaxation is governed by the relevant smallest Liouvillian gap. condensed matter physics disordered systems open quantum systems fizika kondenzirane snovi neurejeni sistemi odprti kvantni sistemi true false true Angleški jezik Slovenski jezik Članek v reviji 2024-03-14 11:35:15 2024-03-14 11:35:16 2024-04-02 11:37:06 0000-00-00 00:00:00 2023 0 0 Str. 184303-1-184303-14 iss. 18 Vol. 107 2023 0000-00-00 Zaloznikova NiDoloceno NiDoloceno 0000-00-00 0000-00-00 2023-05-04 538.9 2469-9950 10.1103/PhysRevB.107.184303 188915203 PhysRevB.107.184303.pdf PhysRevB.107.184303.pdf 1 8B4B8BD4E04F0A8B83599A9B9CDCEF62 bc788b30ca6924f4b0d8da3bd8dffa01ddcae7668758d84439412f4b1ea5598d e517b104-e1ee-11ee-b486-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=181735 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.107.184303 0 eb16f5ec-e1ee-11ee-b486-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=181736 Fakulteta za matematiko in fiziko 0 0 0