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We study the level statistics of a generalized Sachdev-Ye-Kitaev (SYK) model with two-body and one-body random interactions of finite range by exact diagonalization. Tuning the range of the one-body term, while keeping the two-body…

High Energy Physics - Theory · Physics 2019-02-06 Antonio M. García-García , Masaki Tezuka

Inspired by the recent interest in the Sachdev-Ye-Kitaev (SYK) model we study a class of multi-flavored one- and two-band fermion systems with no bare dispersion. In contrast to the previous work on the SYK model that would routinely assume…

Strongly Correlated Electrons · Physics 2018-11-16 D. V. Khveshchenko

We investigate the non-equilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the $q\rightarrow\infty$ limit, where $q/2$ denotes the order of the random Dirac fermion interaction. We extend previous results by Eberlein et al.…

Strongly Correlated Electrons · Physics 2022-02-17 Jan C. Louw , Stefan Kehrein

We study chaos in a classical limit of the Sachdev-Ye-Kitaev (SYK) model obtained in a suitably defined large-S limit. The low-temperature Lyapunov exponent is found to depend linearly on temperature, with a slope that is parametrically…

Statistical Mechanics · Physics 2019-10-23 Thomas Scaffidi , Ehud Altman

The saturation of a recently proposed universal bound on the Lyapunov exponent has been conjectured to signal the existence of a gravity dual. This saturation occurs in the low temperature limit of the dense Sachdev-Ye-Kitaev (SYK) model,…

High Energy Physics - Theory · Physics 2023-11-02 Antonio M. García-García , Chang Liu , Jacobus J. M. Verbaarschot

We investigate the non-equilibrium dynamics of a resonant level model coupled to a strongly interacting electron bath modeled by a Sachdev-Ye-Kitaev (SYK) model. Different from the well-investigated case of a structureless non-interacting…

Strongly Correlated Electrons · Physics 2026-03-27 Anastasia Enckell , Stefan Kehrein

Inspired by recent developments in the study of the model of double scaled SYK (DSSYK), as elucidated in a recent paper, we embark on a re-evaluation of the Sachdev-Ye-Kitaev (SYK) model. Our motivation stems from the insights gained from…

High Energy Physics - Theory · Physics 2025-07-08 Davood Momeni

We study a version of the 2-body Sachdev-Ye-Kitaev (SYK$_{2}$) model whose complex fermions exhibit twisted boundary conditions on the thermal circle. As we show, this is physically equivalent to coupling the fermions to a 1-dimensional…

High Energy Physics - Theory · Physics 2024-01-25 Jeff Murugan , Ruach Pillay Slayen , Hendrik J. R. Van Zyl

We investigate a model closely related to both the original Sachdev-Ye-Kitaev (SYK) model and the $\mathcal{N}=1$ supersymmetric SYK model. It consists of $N$ real Majorana fermions and $M$ auxiliary bosons with Yukawa interactions. We…

High Energy Physics - Theory · Physics 2019-02-20 Eric Marcus , Stefan Vandoren

The Sachdev--Ye--Kitaev is a quantum mechanical model of $N$ Majorana fermions which displays a number of appealing features -- solvability in the strong coupling regime, near-conformal invariance and maximal chaos -- which make it a…

High Energy Physics - Theory · Physics 2019-12-17 Stéphane Dartois , Harold Erbin , Swapnamay Mondal

We construct a family of near-CFT$_1$ models with a conserved U(1) charge, whose basic degrees of freedom are canonical bosons. The Sachdev-Ye-Kitaev (SYK) model -- the first microscopic model that realizes the near-CFT$_1$ dynamics -- is…

High Energy Physics - Theory · Physics 2024-07-30 Yiyang Jia

We study the quantum quench of the Yukawa Sachdev-Ye-Kitaev model and one of its lattice extensions with $q$ fermions and one boson. Several equilibrium properties are computed for general $q$ with different parameter scaling within the…

Strongly Correlated Electrons · Physics 2025-10-17 Haixin Qiu , Stefan Kehrein

We construct a series of one-dimensional non-unitary dynamics consisting of both unitary and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short-range entangled state, we analyze the entanglement dynamics using…

Strongly Correlated Electrons · Physics 2021-02-24 Chunxiao Liu , Pengfei Zhang , Xiao Chen

The Sachdev-Ye-Kitaev (SYK) model shows chaotic behavior with a maximal Lyapunov exponent. In this paper, we investigate the four-point function of a SYK-type model numerically, which gives us access to its Lyapunov exponent. The model…

Strongly Correlated Electrons · Physics 2023-11-29 A. S. Shankar , M. Fremling , S. Plugge , L. Fritz

In this work, we investigate whether the Kitaev honeycomb model can serve as a starting point to realize the intriguing physics of the Sachdev-Ye-Kitaev (SYK) model. The starting point is to strain the system, which leads to flat bands…

Strongly Correlated Electrons · Physics 2022-03-14 Mikael Fremling , Lars Fritz

We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as a holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit. Each SYK system consists of $N$ Majorana…

High Energy Physics - Theory · Physics 2021-11-10 Elena Caceres , Anderson Misobuchi , Rafael Pimentel

We study a model of a large number of strongly coupled phonons that can be viewed as a bosonic variant of the Sachdev-Ye-Kitaev model. We determine the phase diagram of the model which consists of a glass phase and a disordered phase, with…

Strongly Correlated Electrons · Physics 2020-09-30 Evyatar Tulipman , Erez Berg

We study a large $N$ tensor model with $O(N)^3$ symmetry containing two flavors of Majorana fermions, $\psi_1^{abc}$ and $\psi_2^{abc}$. We also study its random counterpart consisting of two coupled Sachdev-Ye-Kitaev models, each one…

High Energy Physics - Theory · Physics 2019-06-05 Jaewon Kim , Igor R. Klebanov , Grigory Tarnopolsky , Wenli Zhao

The Sachdev-Ye-Kitaev model is a $(0+1)$-dimensional model describing Majorana fermions or complex fermions with random interactions. This model has various interesting properties such as approximate local criticality (power law correlation…

High Energy Physics - Theory · Physics 2017-05-31 Yingfei Gu , Xiao-Liang Qi , Douglas Stanford

Nonperturbative formulation of the Sachdev-Ye-Kitaev (SYK) model is discussed. The partition function of the model can be represented as a functional integral over the Grassmann variables in Euclidean time which is well defined but it…

High Energy Physics - Theory · Physics 2018-12-26 Irina Aref'eva , Igor Volovich
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