In condensed matter physics and black hole physics, the Sachdev–Ye–Kitaev (SYK) model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye, [1] and later modified by Alexei Kitaev to the present commonly used form.

Jul 9, 2018 · We discuss: SYK and tensor models as a new class of large N quantum field theories, the near-conformal invariance in the infrared, the computation of correlation functions, generalizations of SYK, and applications to AdS/CFT and strange metals. J. Phys. A: Math. Theor. 52 (2019) 323001. Bibliographic Explorer (What is the Explorer?)

In this review we give an introduction to the SYK model and recent developments connected to it. We discuss: SYK and tensor models as a new class of large N quantum field theories, the near-conformal invariance in the infrared, the computation of correlation functions, generalizations of the SYK model, and applications to AdS/CFT and strange ...

or SYK model [5,6]. It is a 0 + 1 dimensional quantum mechanical model of N fermions with all-to-all quartic Gaussian-randomi. ed self-interaction. The SYK Hamiltonian simplifies the four-fermion interactions in SY by usi.

Kitaev于2015年在KITP做了几个报告，在基于Sachdev和Ye在1993年提出的模型的基础上，提出了 SYK模型，至此之后，众多著名物理学家进行相关方面的研究，SYK模型作为一个 最大混沌 （李雅普诺夫指数 取极值），且大N极限下 严格可解 （两点，四点关联函数可严格计算）的模型，自然受到了来自 凝聚态物理， 量子引力 方面研究者的高度关注，在量子混沌，量子相变， 全息对偶 都有很多的研究。 SYK方面研究的文章非常繁多，千头万绪，本文试图给出一些SYK模 …

Sep 14, 2022 · The Sachdev-Ye-Kitaev (SYK) model is a solvable model of a many-body quantum system that has stimulated interest in both condensed matter physics and quantum gravity. This review focuses on the insights provided by the SYK model, which has no quasiparticle excitations, into the physics of Planckian non-Fermi-liquid metals.

Based on the transmutation and the correspondence with vector model, SYK model is formally a hybrid of these two models. Its quantum and semiclassical properties are also discussed respectively.

Sep 19, 2024 · We introduce an SU(M)-symmetric disordered bipartite spin model with unusual characteristics. Although Although superficially similar to the Sachdev-Ye (SY) model, it has several markedly different properties for M 3.

Sep 18, 2018 · We study the original Sachdev-Ye (SY) model in its Majorana fermion representation which can be called the two indices Sachdev-Ye-Kitaev (SYK) model. Its advantage over the original SY model in the complex fermion representation is that it need no local constraints, so a expansion can be more easily performed.

SYK model and Quantum gravity •Motivation: A concrete fully quantum toy model similar to gravity at semi‐classical level (QFT in curved spacetime), and identify some universal behaviors in quantum gravity, which involving non‐locality at the Planck scale •SYK model– a simple model of quantum holography