2 papers
cond-mat.stat-mech2024
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
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…