セミナー案内

日時
5月15日 (水), 13:30 ~
場所
Hybrid style(Room 413 & Zoom)
(URLはkitamura.taisei.67m[アット]st.kyoto-u.ac.jpまでお問い合わせください。)
講演者
Prof. Masaki Tezuka
(Condensed Matter Theory Group)
タイトル
"A model of randomly-coupled Pauli spins"
備考欄 (アブストラクト等)

Abstract:
 The Sachdev-Ye-Kitaev (SYK) model was proposed in 2015 as a quantum mechanical model of (0+1)-dimensional N fermion with random, all-to-all 4- body couplings. The model has been extensively studied as a promising candidate of a holographic dual of (1+1)-dimensional AdS black holes in the low temperature and large-N limit, as well as a model to approach the strange metal phase in strongly correlated materials. Several schemes have been proposed to experimentally realize the model, however the large number of allto-all couplings and the minus signs associated with the fermion exchange statistics have kept it difficult to reach large N in devices available. Previously we proposed a binary coupling sparse SYK model, which dramatically decreases the required resource [1] and still shows scrambling dynamics. [2]
 In this talk, after summarily introducing the SYK model, we introduce a quantum mechanical model of N/2 S=1/2 quantum spins, whose x and y components have all-to-all four-operator couplings. Equivalently, we replace fermions in the SYK model with hard-core bosons. We discuss the striking similarities and some differences between this model and the SYK model. We also discuss the possibility of quantum simulations. [3]

Reference:
[1] Masaki Tezuka, Onur Oktay, Enrico Rinaldi, Masanori Hanada, and Franco Nori, Phys. Rev. B 107, L081103 (2023) (arXiv:2208.12098).
[2] Yoshifumi Nakata and Masaki Tezuka, Phys. Rev. Research 6, L022021 (2024).
[3] Masanori Hanada, Antal Jevicki, Xianlong Liu, Enrico Rinaldi, and Masaki Tezuka (in alphabetical order), J. High Energ. Phys. in press. (arXiv:2309.15349).