Title:	Spectral form factor in a minimal bosonic model of many-body quantum chaos
Authors:	Roy, Dibyendu Mishra, Divij Prosen, Tomaz
Keywords:	Quantum chaos quantum statistical mechanics flouqet systems many body techniques random matrix theory
Issue Date:	19-Aug-2022
Publisher:	American Physical Society
Citation:	Physical Review E, 2021, Vol 106, p024208
Abstract:	We study spectral form factor in periodically kicked bosonic chains. We consider a family of models where a Hamiltonian with the terms diagonal in the Fock space basis, including random chemical potentials and pairwise interactions, is kicked periodically by another Hamiltonian with nearest-neighbor hopping and pairing terms. We show that, for intermediate-range interactions, the random phase approximation can be used to rewrite the spectral form factor in terms of a bistochastic many-body process generated by an effective bosonic Hamiltonian. In the particle-number conserving case, i.e., when pairing terms are absent, the effective Hamiltonian has a non-Abelian SU(1,1) symmetry, resulting in universal quadratic scaling of the Thouless time with the system size, irrespective of the particle number. This is a consequence of degenerate symmetry multiplets of the subleading eigenvalue of the effective Hamiltonian and is broken by the pairing terms. In such a case, we numerically find a nontrivial systematic system-size dependence of the Thouless time, in contrast to a related recent study for kicked fermionic chains.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/7986
ISSN:	2470-0053 (Online) 2470-0045
Alternative Location:	https://arxiv.org/abs/2203.05439 https://doi.org/10.1103/PhysRevE.106.024208 https://ui.adsabs.harvard.edu/abs/2022arXiv220305439R/abstract
Copyright:	2022 American Physical Society
Appears in Collections:	Research Papers (TP)

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