Many-Body Level Statistics of Single-Particle Quantum Chaos
Journal Article
·
· Physical Review Letters
- Univ. of Maryland, College Park, MD (United States); OSTI
- Univ. of Maryland, College Park, MD (United States)
We consider a noninteracting many-fermion system populating levels of a unitary random matrix ensemble (equivalent to the q = 2 complex Sachdev-Ye-Kitaev model)—a generic model of single-particle quantum chaos. We study the corresponding many-particle level statistics by calculating the spectral form factor analytically using algebraic methods of random matrix theory, and match it with an exact numerical simulation. Despite the integrability of the theory, the many-body spectral rigidity is found to have a surprisingly rich landscape. In particular, we find a residual repulsion of distant many-body levels stemming from single-particle chaos, together with islands of level attraction. These results are encoded in an exponential ramp in the spectral form factor, which we show to be a universal feature of nonergodic many-fermion systems embedded in a chaotic medium.
- Research Organization:
- University of Maryland, College Park, MD (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- Grant/Contract Number:
- SC0001911
- OSTI ID:
- 1850765
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 25 Vol. 125; ISSN 0031-9007; ISSN PRLTAO
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Entanglement in many-body eigenstates of quantum-chaotic quadratic Hamiltonians
|
journal | March 2021 |
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