20.500.12556/RUL-124534 Statistics of the spectral form factor in the self-dual kicked Ising model We compute the full probability distribution of the spectral form factor in the self-dual kicked Ising model by providing an exact lower bound for each moment and verifying numerically that the latter is saturated. We show that at long enough times the probability distribution agrees exactly with the prediction of random-matrix theory if one identifies the appropriate ensemble of random matrices. We find that this ensemble is not the circular orthogonal one—composed of symmetric random unitary matrices and associated with time-reversal-invariant evolution operators—but is an ensemble of random matrices on a more restricted symmetric space [depending on the parity of the number of sites this space is either S p(N)/U (N) or O(2N)/O(N)×O(N)]. Even if the latter ensembles yield the same averaged spectral form factor as the circular orthogonal ensemble, they show substantially enhanced fluctuations. This behavior is due to a recently identified additional antiunitary symmetry of the self-dual kicked Ising model. statistical physics quantum chaos statističma fizika kvantni kaos true false false Angleški jezik Slovenski jezik Neznano 2021-01-29 12:34:30 2021-01-29 12:34:31 2022-09-04 04:00:01 0000-00-00 00:00:00 2020 0 0 Str. 043403-1-043403-14 iss. 4 Vol. 2 2020 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 536 2643-1564 10.1103/PhysRevResearch.2.043403 49281539 32822823 RAZ_Flack_Ana_2020.pdf RAZ_Flack_Ana_2020.pdf 1 C8C77AD8764A61BCB8FE64E05712508F 532bba94e739e8847cf051c3cc8ea18687964a397a9b0c275c7cd30d9ce1acad 935973c5-a1bb-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140051 https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.043403 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=140129 Fakulteta za matematiko in fiziko 0 0 0