Schoeppl, Florian and Dubertrand, Remy and Urbina, Juan-Diego and Richter, Klaus (2025) Universal Correlations in Chaotic Many-Body Quantum States: Fock-Space Formulation of Berry's Random Wave Model. PHYSICAL REVIEW LETTERS, 134 (1): 010404. ISSN 0031-9007, 1079-7114
Full text not available from this repository.Abstract
The apparent randomness of chaotic eigenstates in interacting quantum systems hides subtle correlations dynamically imposed by their finite energy per particle. These correlations are revealed when Berry's approach for chaotic eigenfunctions in single-particle systems is lifted into many-body space. We achieve this by a many-body semiclassical analysis, appropriate for the mesoscopic regime of a large but finite number of particles. We thereby identify as signatures of chaotic many-body eigenstates the universality of both their cross-correlations and the Gaussian distribution of expansion coefficients. Combined, these two features imprint characteristic features to the morphology of eigenstates that we check against extensive quantum simulations. The universality of eigenstate correlations for fixed energy density is hence a further signature of many-body quantum chaos that, while consistent with the eigenstate thermalization hypothesis, lies beyond random matrix theory.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | RANDOM-MATRIX THEORY; STATISTICAL-MECHANICS; SEMICLASSICAL THEORY; AVERAGE ENTROPY; EIGENFUNCTIONS; PHYSICS; THERMALIZATION; SINGULARITIES; SPECTRUM; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 23 Jun 2026 09:31 |
| Last Modified: | 23 Jun 2026 09:31 |
| URI: | https://pred.uni-regensburg.de/id/eprint/66336 |
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