Spectral Statistics and Many-Body Quantum Chaos with Conserved Charge.
Phys Rev Lett
; 123(21): 210603, 2019 Nov 22.
Article
en En
| MEDLINE
| ID: mdl-31809174
ABSTRACT
We investigate spectral statistics in spatially extended, chaotic many-body quantum systems with a conserved charge. We compute the spectral form factor K(t) analytically for a minimal Floquet circuit model that has a U(1) symmetry encoded via spin-1/2 degrees of freedom. Averaging over an ensemble of realizations, we relate K(t) to a partition function for the spins, given by a Trotterization of the spin-1/2 Heisenberg ferromagnet. Using Bethe ansatz techniques, we extract the "Thouless time" t_{Th} demarcating the extent of random matrix behavior, and find scaling behavior governed by diffusion for K(t) at tâ²t_{Th}. We also report numerical results for K(t) in a generic Floquet spin model, which are consistent with these analytic predictions.
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MEDLINE
Tipo de estudio:
Prognostic_studies
Idioma:
En
Año:
2019
Tipo del documento:
Article