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Related papers: A Note on Sachdev-Ye-Kitaev Like Model without Ran…

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We study the spread of R\'enyi entropy between two halves of a Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield double (TFD) state. The SYK chain model is a model of chaotic many-body systems, which describes a…

High Energy Physics - Theory · Physics 2017-09-29 Yingfei Gu , Andrew Lucas , Xiao-Liang Qi

The question of thermalization of a closed quantum system is of central interest in non-equilibrium quantum many-body physics. Here we present one such study analyzing the dynamics of a closed coupled Majorana SYK system. We have a…

Strongly Correlated Electrons · Physics 2025-05-26 Santiago Salazar Jaramillo , Rishabh Jha , Stefan Kehrein

A pair of identical Sachdev-Ye-Kitaev (SYK) models with bilinear coupling forms a quantum dual of a traversable wormhole, with a ground state close to the so called thermofield double state. We use adiabaticity arguments and numerical…

Strongly Correlated Electrons · Physics 2021-07-28 Rafael Haenel , Sharmistha Sahoo , Timothy H. Hsieh , Marcel Franz

We consider the time evolution of multiple clusters of Brownian Sachdev-Ye-Kitaev (SYK), i.e. systems of N Majorana fermions with a noisy interaction term. In addition to the unitary evolution, we introduce two-fermion monitorings. We…

Statistical Mechanics · Physics 2025-07-16 Anastasiia Tiutiakina , Hugo Lóio , Guido Giachetti , Jacopo De Nardis , Andrea De Luca

Recent discoveries have highlighted the significance of replica wormholes in resolving the information paradox and establishing the unitarity of black hole evaporation. In this letter, we propose the dissipative Sachdev-Ye-Kitaev model…

Quantum Physics · Physics 2024-02-12 Hanteng Wang , Chang Liu , Pengfei Zhang , Antonio M. García-García

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 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 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

In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with $U(1)$ charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping…

High Energy Physics - Theory · Physics 2020-11-30 Pengfei Zhang

We present a microscopic theory for quantum thermoelectric and heat transport in the Schwarzian regime of the Sachdev-Ye-Kitaev (SYK) model. As a charged fermion realization of the SYK model in nanostructures we assume a setup based on a…

Strongly Correlated Electrons · Physics 2021-05-12 Andrei I. Pavlov , Mikhail N. Kiselev

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

Making use of known facts about "tensor models," it is possible to construct a quantum system without quenched disorder that has the same large $n$ limit for its correlation functions and thermodynamics as the SYK model. This might be…

High Energy Physics - Theory · Physics 2016-11-04 Edward Witten

We study the SYK$_4$ model with a weak SYK$_2$ term of magnitude $\Gamma$ beyond the simplest perturbative limit considered previously. For intermediate values of the perturbation strength, $J/N \ll \Gamma \ll J/\sqrt{N}$, fluctuations of…

Strongly Correlated Electrons · Physics 2020-11-11 A. V. Lunkin , A. Yu. Kitaev , M. V. Feigel'man

We study the out-of-equilibrium dynamics of a Sachdev-Ye-Kitaev (SYK) model, $N$ fermions with a $q$-body interaction of infinite range, coupled to a Markovian environment. Close to the infinite-temperature steady state, the real-time…

High Energy Physics - Theory · Physics 2023-05-05 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Jie Ping Zheng

The SYK model consists of $N\gg 1$ fermions in $0+1$ dimensions with a random, all-to-all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography. We solve the…

High Energy Physics - Theory · Physics 2016-05-04 Joseph Polchinski , Vladimir Rosenhaus

We consider a recent proposal for a physical realization of the Sachdev-Ye-Kitaev (SYK) model in the zeroth-Landau-level sector of an irregularly-shaped graphene flake. We study in detail charge transport signatures of the unique non-Fermi…

Strongly Correlated Electrons · Physics 2019-01-21 Oguzhan Can , Emilian M. Nica , Marcel Franz

The fundamental problem in much of physics and quantum chemistry is to optimize a low-degree polynomial in certain anticommuting variables. Being a quantum mechanical problem, in many cases we do not know an efficient classical witness to…

Quantum Physics · Physics 2023-08-21 Matthew B. Hastings , Ryan O'Donnell

In arXiv:1707.02197, the authors considered the Sachdev-Ye-Kitaev model with quadratic perturbation (also known as mass-deformed SYK), and claimed that the quantum Lyapunov exponent would vanish in the regime of low temperature and small…

Statistical Mechanics · Physics 2021-03-15 Jaewon Kim , Xiangyu Cao

We show that a variant of the Gross-Neveu Yukawa model with disorder provides a real, nonsupersymmetric generalization of the Sachdev-Ye Kitaev (SYK) model to three dimensions. The model contains $M$ real scalar fields and $N$ Dirac (or…

High Energy Physics - Theory · Physics 2023-04-13 Shiroman Prakash

Generalizing disorder couplings of the SYK model by means of SU(N) matrices we formulate a lattice model of fermions in d+1 dimensions. Integration of fermions yields an effective theory of Yang-Mills fields in d dimensions, the latter…

High Energy Physics - Lattice · Physics 2019-09-13 Artan Borici