RQC Seminar

75th RQC Seminar

  • 講演者

    Prof. Masaki Tezuka
    ( 京都大学 )

  • 日程

    2023年8月18日（金） 16:00-17:00

  • 開催場所

    ハイブリッド（ZOOM・ 研究本館3階 セミナー室(345-347) C01）

  • 講演タイトル

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

  • お問合せ

    rqc_info[at]ml.riken.jp

講演概要
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.

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