20.500.12556/DiRROS-28919 Exact spectral form factors of noninteracting fermions with Dyson statistics 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 computed exactly. These ensembles describe the evolution of noninteracting fermions in the presence of correlated on-site potentials drawn from the eigenvalue distribution of a circular ensemble. For disorder parameters drawn from the circular unitary ensemble (CUE), we derive an exact closed form for the SFF, valid for any choice of system size � and integer time �. When the disorder is drawn from the circular orthogonal or symplectic ensembles (COE and CSE, respectively), we carry out the disorder averages analytically and reduce the computation of the SFF at integer times to a combinatorial problem amenable to transfer matrix methods. In each of these cases, the SFF grows exponentially in time, which we argue is a signature of random matrix universality at the single-particle level. Finally, we develop matchgate circuit representations of our circuit ensembles, enabling their experimental realization in quantum simulators. physics quantum chaos disordered systems localization critical point kvantni kaos neurejeni sistemi true false true American Physical Society Angleški jezik Slovenski jezik Neznano 2026-04-14 09:55:32 2026-04-14 09:55:33 2026-04-15 03:57:35 0000-00-00 00:00:00 2025 0 0 Nasl. z nasl. zaslona; Opis vira z dne 7. 4. 2026; str. 144312-1-144312-17 [article no.] 144312 Vol. 111 Apr. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2024-11-08 2025-03-12 2025-04-23 53 2469-9969 10.1103/PhysRevB.111.144312 274412803 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.111.144312 1 535456dd-37d7-11f1-9cc3-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=43132 RAZ_Ikeda_Tatsuhiko_N._2025.pdf RAZ_Ikeda_Tatsuhiko_N._2025.pdf 1 0987D9884AA39554BD7AAA6987C7D634 05d69d1a87f63895b939f9a0cc9f1d9f7360c410040ebd88584b301e778817fe d79540aa-37d7-11f1-9cc3-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=43133 Institut Jožef Stefan 0 0 0