Author:
Nosaka Tomoki,Rosa Dario,Yoon Junggi
Abstract
Abstract
We study the onset of RMT dynamics in the mass-deformed SYK model (i.e. an SYK model deformed by a quadratic random interaction) in terms of the strength of the quadratic deformation. We use as chaos probes both the connected unfolded Spectral Form Factor (SFF) as well as the Gaussian-filtered SFF, which has been recently introduced in the literature. We show that they detect the chaotic/integrable transition of the mass-deformed SYK model at different values of the mass deformation: the Gaussian-filtered SFF sees the transition for large values of the mass deformation; the connected unfolded SFF sees the transition at small values. The latter shows a closer agreement with the transition as seen by the OTOCs. We argue that the chaotic/integrable deformation affects the energy levels inhomogeneously: for small values of the mass deformation only the low-lying states are modified while for large values of the mass deformation also the states in the bulk of the spectrum move to the integrable behavior.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference82 articles.
1. O. Bohigas, M.J. Giannoni and C. Schmit, Characterization of chaotic quantum spectra and universality of level fluctuation laws, Phys. Rev. Lett. 52 (1984) 1 [INSPIRE].
2. M.L. Mehta, Random Matrices, 3rd edition, Pure and Applied Mathematics, Elsevier (2004).
3. T. Guhr, A. Müller-Groeling and H. A. Weidenmüller, Random-matrix theories in quantum physics: common concepts, Phys. Rept. 299 (1998) 189.
4. O. Bohigas and M.J. Giannoni, Chaotic motion and random matrix theories, in Mathematical and computational methods in nuclear physics, J.S. Dehesa et al. eds., Springer, Berlin Germany (1984).
5. K. Hashimoto, K. Murata and R. Yoshii, Out-of-time-order correlators in quantum mechanics, JHEP 10 (2017) 138 [arXiv:1703.09435] [INSPIRE].
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