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This paper considers a type of generalized large $q$ SYK models which include multi-body interactions between Majorana fermions. We derive an effective action in the limit of large $N$ and large $q$ (with ${~q^2\over N} $ small), and find a…

High Energy Physics - Theory · Physics 2019-09-04 Jiaqi Jiang , Zhenbin Yang

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 consider a non-equilibrium generalization of the mixed SYK$_4$+SYK$_2$ model and calculate the energy dissipation rate $W(\omega)$ that results due to periodic modulation of random quadratic matrix elements with a frequency $\omega$. We…

Strongly Correlated Electrons · Physics 2022-01-26 A. V. Lunkin , M. V. Feigel'man

We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains $N$ Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum…

High Energy Physics - Theory · Physics 2017-03-08 Micha Berkooz , Prithvi Narayan , Moshe Rozali , Joan Simón

We study the generalization of the Sachdev-Ye-Kitaev (SYK) model to a $1+1$ dimensional chiral SYK model of $N$ flavors of right-moving chiral Majorana fermions with all-to-all random 4-fermion interactions. The interactions in this model…

High Energy Physics - Theory · Physics 2022-01-14 Biao Lian , S. L. Sondhi , Zhenbin Yang

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 a center-of-mass-conserving Brownian complex Sachdev-Ye-Kitaev model with long-range (power-law) interactions characterized by $1/r^\eta$. The kinetic constraint and long-range interactions conspire to yield rich hydrodynamics…

Statistical Mechanics · Physics 2024-09-19 Bai-Lin Cheng , Shao-Kai Jian , Zhi-Cheng Yang

A brief survey of some random quantum models with infinite-range couplings is presented, ranging from the quantum Ising model to the Sachdev-Ye-Kitaev model. The Sachdev-Ye-Kitaev model was the first to realize an extensive zero temperature…

High Energy Physics - Theory · Physics 2024-12-24 Subir Sachdev

In interacting quantum many-body systems, relaxation toward equilibrium reflects a competition between internal chaotic dynamics and environmental dissipation. While conventional Markovian baths typically produce exponential decay,…

Statistical Mechanics · Physics 2026-03-12 Gabriel Almeida , Pedro Ribeiro , Masudul Haque , Lucas Sá

The chiral SYK model is an 1+1 dimensional generalisation of the Sachdev-Ye-Kitaev model with chiral Majorana fermions and homogeneous random interactions. In the large N limit, the model admits an exact solution of the two-point function…

High Energy Physics - Theory · Physics 2026-01-27 Avik Chakraborty , Manavendra Mahato

We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev model. We use numerical methods to establish that at intermediate times the connected part of the spectral form factor is the dominant one. These connected…

High Energy Physics - Theory · Physics 2022-08-25 Elena Cáceres , Anderson Misobuchi , Amir Raz

We study a generalization of `Yukawa models' in which Majorana fermions, interacting via all-to-all random couplings as in the Sachdev-Ye-Kitaev (SYK) model, are parametrically coupled to disordered bosonic degrees of freedom described by a…

Disordered Systems and Neural Networks · Physics 2026-04-20 Surajit Bera , Jorge Kurchan , Marco Schiro

Collective behavior strongly influences the charging dynamics of quantum batteries (QBs). Here, we study the impact of nonlocal correlations on the energy stored in a system of $N$ QBs. A unitary charging protocol based on a…

Strongly Correlated Electrons · Physics 2020-11-26 Dario Rosa , Davide Rossini , Gian Marcello Andolina , Marco Polini , Matteo Carrega

Many key features of the higher-dimensional Sachdev-Ye-Kitaev (SYK) model at {\it finite} $N$ remain unknown. Here we study the SYK chain consisting of $N$ ($N$$\ge$$2$) fermions per site with random interactions and hoppings between…

Strongly Correlated Electrons · Physics 2020-06-16 Xin Dai , Shao-Kai Jian , Hong Yao

Anomalous thermalization, particularly the crossings of temperature trajectories from different initial states termed Mpemba crossings (MPCs), have intrigued scientists for decades. While recent studies in quantum systems suggest that…

Quantum Physics · Physics 2025-12-01 Xuanhua Wang , Jie Su , Jin Wang

The nonlinear supermatrix $\sigma $-model is widely used to understand the physics of Anderson localization and the level statistics in noninteracting disordered electron systems. In contrast to the general belief that the supersymmetry…

Strongly Correlated Electrons · Physics 2020-09-03 Tigran A. Sedrakyan , Konstantin B. Efetov

In the context of energy storage at the nanoscale, exploring the notion of \textit{quantum advantage} implies walking on the thin line at the boundary between quantum mechanics and thermodynamics, which underpins our conventional…

Quantum Physics · Physics 2025-05-26 Giovanni Sisorio , Alberto Cappellaro , Luca Dell'Anna

We study the Lindbladian dynamics of the Sachdev-Ye-Kitaev (SYK) model, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the Majorana fermion operators. Here, the linear jump…

Statistical Mechanics · Physics 2022-12-16 Anish Kulkarni , Tokiro Numasawa , Shinsei Ryu

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 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 $ SU(M) $ complex fermion representation…

Strongly Correlated Electrons · Physics 2018-09-19 Jinwu Ye
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