20.500.12556/RUL-180950 Slow dynamics from a nested hierarchy of frozen states We identify the mechanism of slow heterogeneous relaxation in quantum kinetically constrained models (KCMs) in which the potential energy strength is controlled by a coupling parameter. The regime of slow relaxation includes the large-coupling limit. By expanding around that limit, we reveal a nested hierarchy of states that remain frozen on time scales determined by powers of the coupling. The classification of such states, together with the evolution of their Krylov complexity, reveals that these time scales are related to the distance between the sites where facilitated dynamics is allowed by the kinetic constraint. While correlations within frozen states relax slowly and exhibit metastable plateaus that persist on time scales set by powers of the coupling parameter, the correlations in the rest of the states decay rapidly. We compute the plateau heights of correlations across all frozen states up to second-order corrections in the inverse coupling. Our results explain slow relaxation in quantum KCMs and elucidate dynamical heterogeneity by relating the relaxation times to the spatial separations between the active regions. nonequilibrium systems nonequilibrium statistical mechanics quantum spin models kinetically constrained models neravnovesni sistemi neravnovesna statistična mehanika kvantni spinski modeli true false true Angleški jezik Slovenski jezik Članek v reviji 2026-03-20 11:20:10 2026-03-20 11:20:11 2026-03-23 03:50:14 0000-00-00 00:00:00 2026 0 0 Str. 024313-1-024313-10 iss. 2 Vol. 113 2026 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536.93 2469-9950 10.1103/vc42-9kb1 272413955 vc42-9kb1.pdf vc42-9kb1.pdf 1 505B87B3C3FB4108F692F407BEF017DC f6fecaf96bb0ec06dd261a799eb9a97595a387ad4870ce1819407f0ce8103fb7 83a51a0b-2446-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=230970 https://journals.aps.org/prb/abstract/10.1103/vc42-9kb1 0 8a965f1b-2446-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=230971 Fakulteta za matematiko in fiziko 0 0 0