Nagoya University
Theoretical Elementary Particle Physics Laboratory

Date&Time Mon May 01 2023 (14:45 - 15:45)
Masaki Tezuka
Affiliation Kyoto University
Title Binary-coupling sparse SYK model
Abstract The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical model of N Majorana or complex fermions with all-to-all random four-body interactions. The model has attracted significant attention over the years due to its features such as the existence of the large-N solution with maximally chaotic behavior at low temperatures and holographic correspondence to low-dimensional gravity. The sparse version of the SYK model reproduces essential features of the original model for reduced numbers of disorder parameters. We recently proposed [1] a further simplification, where we set the nonzero couplings to be +1 or -1 rather than sampling from a continuous distribution such as Gaussian. By computing the spectral form factor, we demonstrate that this binary-coupling model exhibits strong correlations in the spectrum more efficiently in terms of the number of nonzero terms than in the Gaussian distribution case. If time allows, we comment on the scrambling dynamics with the binary-coupling sparse SYK model, comparing the model with the original model [2], [1] Masaki Tezuka, Onur Oktay, Enrico Rinaldi, Masanori Hanada, and Franco Nori, "Binary-coupling sparse Sachdev-Ye-Kitaev model: An improved model of quantum chaos and holography", Phys. Rev. B 107, L081103 (2023), arXiv:2208.12098 [2] Yoshifumi Nakata and Masaki Tezuka, "Hayden-Preskill Recovery in Hamiltonian Systems", arXiv:2303.02010
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