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cond-mat.stat-mech2024★ 5 cited
Exact spectral form factors of non-interacting fermions with Dyson statistics
Tatsuhiko N. Ikeda, Lev Vidmar, Michael O. Flynn
The spectral form factor (SFF) is a powerful diagnostic of random matrix behavior in quantum many-body systems. We introduce a family of random circuit ensembles whose SFFs can be…
cond-mat.stat-mech2024★ 8 cited
Single-Particle Universality of the Many-Body Spectral Form Factor
Michael O. Flynn, Lev Vidmar, Tatsuhiko N. Ikeda
We consider systems of fermions evolved by non-interacting unitary circuits with correlated on-site potentials. When these potentials are drawn from the eigenvalue distribution of…