Universal spectral correlations in interacting chaotic few-body quantum systems

• URL: http://arxiv.org/abs/2302.08983v3
• Date: Tue, 13 Jun 2023 15:13:04 GMT
• Title: Universal spectral correlations in interacting chaotic few-body quantum systems
• Authors: Felix Fritzsch and Maximilian F. I. Kieler
• Abstract summary: We show that the transition of the spectral form factor from the non-interacting to the strongly interacting case can be described as a simple combination of these two limiting cases. Our approach accurately captures spectral correlations in actual physical system, which we demonstrate for kicked coupled rotors.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The emergence of random matrix spectral correlations in interacting quantum systems is a defining feature of quantum chaos. We study such correlations in terms of the spectral form factor in interacting chaotic few- and many-body systems, modeled by suitable random-matrix ensembles, and obtain exact results for large Hilbert space dimensions. The transition of the spectral form factor from the non-interacting to the strongly interacting case can be described as a simple combination of these two limiting cases, which we confirm by extensive numerical studies in few-body systems. This transition is universally governed by a single scaling parameter. Moreover, our approach accurately captures spectral correlations in actual physical system, which we demonstrate for coupled kicked rotors.

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