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In a recent comment to the paper Chaotic Integrable transition in the SYK model, it was claimed that, in a certain region of parameters, the Lyapunov exponent of the N Majoranas Sachdev-Ye-Kitaev model with a quadratic perturbation, is…

Strongly Correlated Electrons · Physics 2021-03-15 Antonio M. García-García , Bruno Loureiro , Aurelio Romero-Bermúdez , Masaki Tezuka

We analyse a class of SYK models whose Hamiltonian is the sum of two SYK Hamiltonians with different numbers of fermions $q, \tilde q$ in each interaction. We consider both Euclidean and Lorentzian probes of the quantum system in the large…

High Energy Physics - Theory · Physics 2026-01-26 Weam Abou Hamdan , Damián A. Galante

We study the preparation of thermal states of the dense and sparse Sachdev-Ye-Kitaev (SYK) model using a variational quantum algorithm for $6 \le N \le 12$ Majorana fermions over a wide range of temperatures. Utilizing IBM's 127-qubit…

Quantum Physics · Physics 2024-10-22 Jack Y. Araz , Raghav G. Jha , Felix Ringer , Bharath Sambasivam

We study how Sachdev-Ye-Kitaev (SYK) interactions can arise from localized single-particle states on a system that is effectively one dimensional. If a local interaction is projected onto coarse localized orbitals, the resulting couplings…

Strongly Correlated Electrons · Physics 2026-05-04 Hrant Topchyan , Tigran A. Sedrakyan

In this paper, we study the evaporation dynamics of the Sachdev-Ye-Kitaev (SYK) model, with an initial temperature $T_\chi$, by coupling it to a thermal bath with lower temperature $T_\psi<T_\chi$ modeled by a larger SYK model. The coupling…

Strongly Correlated Electrons · Physics 2019-12-11 Pengfei Zhang

It is known that, for a range of chemical potentials, the infrared behavior of the complex Sachdev-Ye-Kitaev (cSYK) model is governed by a 1D Nearly Conformal Field Theory (NCFT$_{1}$), thereby realizing a continuous line of NCFTs. A finite…

High Energy Physics - Theory · Physics 2026-01-09 Can Onur Akyuz , Erick Arguello Cruz , Ludo Fraser-Taliente , Grigory Tarnopolsky

A recent study of R\'enyi entanglement entropy in the SYK chain of Majorana fermions suggested that the model does not rapidly thermalize, despite being maximally chaotic. In this work, I examine the Eigenstate Thermalization Hypothesis…

High Energy Physics - Theory · Physics 2025-08-20 Seyyed M. H. Halataei

The Sachdev-Ye-Kitaev (SYK) model, in its simplest form, describes $k$ Majorana fermions with random all-to-all four-body interactions. We consider the SYK model in the framework of a many-body Altland-Zirnbauer classification that sees the…

Disordered Systems and Neural Networks · Physics 2019-06-21 Jan Behrends , Jens H. Bardarson , Benjamin Béri

We study the nonequilibrium quench dynamics of a mixed Sachdev-Ye-Kitaev model, with competing two bodies random interactions leading to maximally chaotic Non-Fermi Liquid dynamics and a single body term which dominates at low temperatures…

Strongly Correlated Electrons · Physics 2022-06-22 Ancel Larzul , Marco Schiró

We show that the massive Yang--Mills action having as a mass term the non-local operator introduced by Gubarov, Stodolsky, and Zakharov is classically equivalent to a principal gauged sigma model. The non-local mass corresponds to the…

High Energy Physics - Theory · Physics 2007-05-23 Mboyo Esole

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

We study the phase diagram of strongly interacting matter in the framework of a non-local SU(2) chiral quark model which includes wave function renormalization and coupling to the Polyakov loop. Both non-local interactions based on the…

High Energy Physics - Phenomenology · Physics 2014-11-21 G. A. Contrera , M. Orsaria , N. N. Scoccola

We study the matrix elements of local and nonlocal operators in the single-particle eigenstates of two paradigmatic quantum-chaotic quadratic Hamiltonians; the quadratic Sachdev-Ye-Kitaev (SYK2) model and the three-dimensional Anderson…

Statistical Mechanics · Physics 2021-12-15 Patrycja Łydżba , Yicheng Zhang , Marcos Rigol , Lev Vidmar

Many aspects of many-body localization (MBL) transitions remain elusive so far. Here, we propose a higher-dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model and show that it exhibits a MBL transition. The model on a bipartite…

Strongly Correlated Electrons · Physics 2017-11-17 Shao-Kai Jian , Hong Yao

We discuss higher dimensional generalizations of the 0+1-dimensional Sachdev-Ye-Kitaev (SYK) model that has recently become the focus of intensive interdisciplinary studies by, both, the condensed matter and field-theoretical communities.…

Strongly Correlated Electrons · Physics 2018-08-01 D. V. Khveshchenko

We investigate the infinite temperature dynamics of the complex Sachdev-Ye-Kitaev model (SYK$_4$) complimented with a single particle hopping term (SYK$_2$), leading to the chaos-to-integrable crossover of the many-body eigenstates. Due to…

Disordered Systems and Neural Networks · Physics 2025-10-24 Johannes Dieplinger , Soumya Bera

We give qualitative arguments for the mesoscopic nature of the Sachdev-Yee-Kitaev (SYK) model in the holographic regime with $q^2/N\ll 1$ with $N$ Majorana particles coupled by antisymmetric and random interactions of range $q$. Using a…

High Energy Physics - Theory · Physics 2017-10-11 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

We study non-equilibrium dynamics in SYK models using quantum quench. We consider models with two, four, and higher fermion interactions ($q=2, 4$, and higher) and use two different types of quench protocol, which we call step and bump…

High Energy Physics - Theory · Physics 2020-03-17 Ritabrata Bhattacharya , Dileep P. Jatkar , Nilakash Sorokhaibam

We study the electric and thermoelectric transport through a spinful complex Sachdev-Ye-Kitaev (SYK) quantum dot coupled to metallic leads, forming a N-SYK-N junction, by the Keldysh field theory approach. Unlike traditional equilibrium…

Strongly Correlated Electrons · Physics 2025-12-11 Marco Uguccioni , Daniele Morotti , Luca Dell'Anna

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