RQC Seminar

75th RQC Seminar

• Speaker

  Prof. Masaki Tezuka
  ( Kyoto University )

• Date

  16:00-17:00, August 18, 2023 (Friday)

• Venue

  Hybrid(ZOOM・ Wako Main Research 3F 345-347 Seminar Room C01）

• Title

  Sachdev-Ye-Kitaev-type long-range interacting models: spectral statistics and quantum error correction

• Inquiries

  rqc_info[at]ml.riken.jp

Abstract
The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical model with maximally chaotic behavior at low temperatures. The model contains N fermions with random, all-to-all interaction, and can be solved in the large N limit. The simplicity of the model and the possibility to study quantum gravity via holographic principle have attracted much attention after the proposal of the model in 2015. Many variants of the SYK model have been proposed, including the sparse version of the model, where only O(N) couplings are nonzero.
In this talk, our proposal of a further simplified version, where the nonzero couplings have a constant absolute value, rather than obeying continuous probability distribution such as Gaussian, will be explained. We demonstrate that the spectral correlation of the eigenenergy approaches the random matrix universality for a smaller number of couplings than in the Gaussian random case. [1] We also discuss our results on the scrambling feature of SYK-type models, obtained by estimating the decoding error for the Hayden-Preskill protocol, where quantum information is embedded in a larger quantum system undergoing unitary dynamics. [2]

References:
[1] M. Tezuka, O. Oktay, E. Rinaldi, M. Hanada, and F. Nori, Phys.
Rev. B. 107, L081103 (2023).
[2] Y. Nakata and M. Tezuka, arXiv:2303.02020.