| Title: | Single-particle universality of the many-body spectral form factor |
|---|
| Authors: | ID Flynn, Michael O. (Author)
ID Vidmar, Lev, Institut "Jožef Stefan" (Author)
ID Ikeda, Tatsuhiko N. (Author) |
|---|
| Files: |  URL - Source URL, visit https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.134.160403
 PDF - Presentation file, download (756,74 KB)
MD5: 2DAE22B8AABCCF6F77455872D1ABC863
|
|---|
| Language: | English |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: |  IJS - Jožef Stefan Institute
|
|---|
| Abstract: | We consider systems of fermions evolved by noninteracting unitary circuits with correlated on-site potentials. When these potentials are drawn from the eigenvalue distribution of a circular random matrix ensemble, the single-particle sector exhibits chaotic dynamics. The corresponding many-body spectral form factors (SFFs) can be computed exactly, revealing signatures of single-particle chaos in the many-body spectral statistics. Due to the absence of interactions the SFF grows exponentially in time, a result which we demonstrate through simple arguments, scaling collapses, and closed-form evaluation of the SFF. Upon introducing interactions, the SFF crosses over to a linear growth regime consistent with many-body random matrix universality. Our exact results for the SFF provide a baseline for future studies of the crossover between single-particle and many-body random matrix behavior. |
|---|
| Keywords: | physics, quantum chaos, disordered systems |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Submitted for review: | 08.11.2024 |
|---|
| Article acceptance date: | 12.03.2024 |
|---|
| Publication date: | 23.04.2025 |
|---|
| Publisher: | American Physical Society |
|---|
| Year of publishing: | 2025 |
|---|
| Number of pages: | str. 160403-1-160403-6 |
|---|
| Numbering: | Vol. 134, [article no.] 160403 |
|---|
| PID: | 20.500.12556/DiRROS-28920  |
|---|
| UDC: | 53 |
|---|
| ISSN on article: | 1079-7114 |
|---|
| DOI: | 10.1103/PhysRevLett.134.160403 |
|---|
| COBISS.SI-ID: | 274482691 |
|---|
| Note: | Nasl. z nasl. zaslona;
Opis vira z dne 8. 4. 2026;
|
|---|
| Publication date in DiRROS: | 14.04.2026 |
|---|
| Views: | 110 |
|---|
| Downloads: | 75 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
