cmp-ml
kawashima.issp.u-tokyo.ac.jp/mcs/
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Speaker: Masaki Tezuka (Kyoto University)
Date: November 21, 2022 13:00 – 14:00 (JST)
Place: Online (Zoom meeting)
Title: Numerical analysis of the Sachdev-Ye-Kitaev type models
Abstract:
The Sachdev-Ye-Kitaev (SYK) model, proposed in 2015, is a quantum
mechanical model of N Majorana or complex fermions with all-to-all
random 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 a low-dimensional gravity theory.
Numerical diagonalization of the model Hamiltonian gives much insight
into the dynamics of the model. We have studied (i) the spectral
correlation by computing the spectral form factor [1], and (ii) the
scrambling dynamics of the model by using the Hayden-Preskill protocol
[2]. In addition to the result for the original SYK model, we present
the results for the binary-coupling sparse SYK model [3] and the
SYK4+2 model [4].
Reference:
[1] J. S. Cotler, G. Gur-Ari, M. Hanada, J. Polchinski, P. Saad, S. H.
Shenker, D. Stanford, A. Streicher, and M. Tezuka, JHEP 1705:118
(2017) [arXiv:1611.04650]; H. Gharibyan, M. Hanada, S. H. Shenker, and
M. Tezuka, JHEP 1807:124 (2018) [arXiv:1803.08050].
[2] P. Hayden and J. Preskill, JHEP 0709:120 (2007) [arXiv:0708.4025].
[3] M. Tezuka, O. Oktay, E. Rinaldi, M. Hanada, and E. Nori, arXiv:2208.12098.
[4] A. M. Garca-Garca, B. Loureiro, A. Romero-Bermdez, and M.
Tezuka, Phys. Rev. Lett. 120, 241603 (2018) [arXiv:1707.02197].
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Satoshi Morita ( )
The Institute for Solid State Physics, The University of Tokyo
kawashima.issp.u-tokyo.ac.jp/people/morita/
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