Title:	Random matrix spectral form factor in kicked interacting fermionic chains
Authors:	Roy, Dibyendu Prosen, Tomaž
Issue Date:	Dec-2020
Publisher:	American Physical Society
Citation:	Physical Review E, 2020, Vol.102, Article No.060202(R)
Abstract:	We 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.
Description:	Open Access
URI:	http://hdl.handle.net/2289/7604
Alternative Location:	https://ui.adsabs.harvard.edu/abs/2020arXiv200510489R/abstract https://arxiv.org/abs/2005.10489 https://doi.org/10.1103/PhysRevE.102.060202
Copyright:	2020 American Physical Society
Additional information:	Supplementary Information Avaliable
Appears in Collections:	Research Papers (TP)

Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.