Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7604
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dc.contributor.authorRoy, Dibyendu-
dc.contributor.authorProsen, Tomaž-
dc.date.accessioned2020-12-30T08:39:48Z-
dc.date.available2020-12-30T08:39:48Z-
dc.date.issued2020-12-
dc.identifier.citationPhysical Review E, 2020, Vol.102, Article No.060202(R)en_US
dc.identifier.urihttp://hdl.handle.net/2289/7604-
dc.descriptionOpen Accessen_US
dc.description.abstractWe study quantum chaos and spectral correlations in periodically driven (Floquet) fermionic chains with long-range two-particle interactions, in the presence and absence of particle number conservation ( U(1) ) symmetry. We analytically show that the spectral form factor precisely follows the prediction of random matrix theory in the regime of long chains, and for timescales that exceed the so-called Thouless/Ehrenfest time which scales with the size L as O(L2) , or O(L0) , in the presence, or absence of U(1) symmetry, respectively. Using random phase assumption which essentially requires long-range nature of interaction, we demonstrate that the Thouless time scaling is equivalent to the behavior of the spectral gap of a classical Markov chain, which is in the continuous-time (Trotter) limit generated, respectively, by a gapless XXX , or gapped XXZ , spin-1/2 chain Hamiltonian.en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2020arXiv200510489R/abstracten_US
dc.relation.urihttps://arxiv.org/abs/2005.10489en_US
dc.relation.urihttps://doi.org/10.1103/PhysRevE.102.060202en_US
dc.rights2020 American Physical Societyen_US
dc.titleRandom matrix spectral form factor in kicked interacting fermionic chainsen_US
dc.typeArticleen_US
dc.additionalSupplementary Information Avaliableen_US
Appears in Collections:Research Papers (TP)

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