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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…

强关联电子 · 物理学 2022-06-22 Ancel Larzul , Marco Schiró

The Sachdev-Ye-Kitaev (SYK) model is a model of $q$ interacting fermions. Gross and Rosenhaus have proposed a generalization of the SYK model which involves fermions with different flavors. In terms of Feynman graphs, those flavors are…

高能物理 - 理论 · 物理学 2018-06-22 Valentin Bonzom , Luca Lionni , Adrian Tanasa

We construct Brownian Sachdev-Ye-Kitaev (SYK) chains subjected to continuous monitoring and explore possible entanglement phase transitions therein. We analytically derive the effective action in the large-$N$ limit and show that an…

强关联电子 · 物理学 2021-09-30 Shao-Kai Jian , Chunxiao Liu , Xiao Chen , Brian Swingle , Pengfei Zhang

The Sachdev-Ye-Kitaev (SYK) model describes a strongly correlated quantum system that shows a strong signature of quantum chaos. Due to its chaotic nature, the simulation of real-time dynamics becomes quickly intractable by means of…

量子物理 · 物理学 2026-03-17 Etienne Granet , Yuta Kikuchi , Henrik Dreyer , Enrico Rinaldi

We investigate the classical Renyi entropy S_n and the associated mutual information I_n in the Sherrington-Kirkpatrick (S-K) model, which is the paradigm model of mean-field spin glasses. Using classical Monte Carlo simulations and…

统计力学 · 物理学 2016-04-26 Vincenzo Alba , Stephen Inglis , Lode Pollet

We study the low frequency spectra of complex Sachdev-Ye-Kitaev (SYK) models at general densities. The analysis applies also to SU($M$) magnets with random exchange at large $M$. The spectral densities are computed by numerical analysis of…

强关联电子 · 物理学 2021-03-03 Maria Tikhanovskaya , Haoyu Guo , Subir Sachdev , Grigory Tarnopolsky

We calculate the topological entanglement entropy (TEE) for a three-dimensional hyperhoneycomb lattice generalization of Kitaev's honeycomb lattice spin model. We find that for this model TEE is not directly determined by the total quantum…

强关联电子 · 物理学 2018-09-26 N. C. Randeep , Naveen Surendran

The R\'{e}nyi statistics is applied for a description of finite size effects in the 1D Ising model. We calculate the internal energy of the spin chain and the system temperature using the R\'{e}nyi distribution and postulate them to be…

统计力学 · 物理学 2024-12-31 V. V. Ignatyuk , A. P. Moina

The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled…

无序系统与神经网络 · 物理学 2017-10-04 Aaron Chew , Andrew Essin , Jason Alicea

We propose a lattice model for strongly interacting electrons with the potential to explain the main phenomenology of the strange metal phase in the cuprate high temperature superconductors. Our model is motivated by the recently developed…

强关联电子 · 物理学 2018-10-23 Xiaochuan Wu , Xiao Chen , Chao-Ming Jian , Yi-Zhuang You , Cenke Xu

Recently there has been a renewed interest in properties of the higher-spin Kitaev models, especially their low-dimensional analogues with additional interactions. These quasi-1D systems exhibit rich phase diagrams with symmetry-protected…

强关联电子 · 物理学 2022-04-12 Jacob S. Gordon , Hae-Young Kee

We construct a sign-problem free variant of the complex Sachdev-Ye-Kitaev (SYK) model which keeps all the essential properties of the SYK model, including the analytic solvability in the large-$N$ limit and being maximally chaotic. In…

强关联电子 · 物理学 2022-01-26 Byungmin Kang , Junggi Yoon

Energy transport in quantum many-body systems with well defined quasiparticles has recently attracted interest across different fields, including out of equilibrium conformal field theories, one dimensional quantum lattice models and…

强关联电子 · 物理学 2022-06-16 Ancel Larzul , Marco Schirò

The Sachdev-Ye-Kitaev (SYK) model has attracted widespread attention due to its relevance to diverse areas of physics, such as high temperature superconductivity, black holes, and quantum chaos. The model is, however, extremely challenging…

量子气体 · 物理学 2025-12-12 Charles Creffield , Fernando Sols , Marco Schirò , Nathan Goldman

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…

高能物理 - 理论 · 物理学 2017-10-11 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

The Sachdev-Ye-Kitaev (SYK) model attracts attention in the context of information scrambling, which represents delocalization of quantum information and is quantified by the out-of-time-ordered correlators (OTOC). The SYK model contains…

统计力学 · 物理学 2018-11-20 Eiki Iyoda , Hosho Katsura , Takahiro Sagawa

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…

高能物理 - 理论 · 物理学 2017-05-31 Yingfei Gu , Xiao-Liang Qi , Douglas Stanford

In this paper, we calculate the R\'enyi entropy of one single interval on a circle at finite temperature in 2D CFT. In the low temperature limit, we expand the thermal density matrix level by level in the vacuum Verma module, and calculate…

高能物理 - 理论 · 物理学 2015-06-19 Bin Chen , Jie-qiang Wu

The periodic Anderson model is a classic theoretical model for understanding novel physics in heavy fermion systems. Here, we modify it with the Sachdev-Ye-Kitaev interaction, (random all-to-all interaction) thus the resultant model admits…

强关联电子 · 物理学 2018-11-28 Yin Zhong

A generalization of the entropy production rate is proposed $\Pi_q$ in non-equilibrium systems by extending the formalism of classical stochastic thermodynamics to regimes with non-Gaussian fluctuations. Through the R\'enyi entropy $S_q$ ,…

统计力学 · 物理学 2025-10-02 J. M. Nieto-Villar , R. Mansilla , I. Santamaria-Holek