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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…

强关联电子 · 物理学 2026-03-27 Anastasia Enckell , Stefan Kehrein

The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical model of fermions interacting with $q$-body random couplings. For $q=2$, it describes free particles, and is non-chaotic in the many-body sense, while for $q>2$ it is strongly…

强关联电子 · 物理学 2018-07-19 Chunxiao Liu , Xiao Chen , Leon Balents

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…

强关联电子 · 物理学 2017-11-17 Shao-Kai Jian , Hong Yao

`Strange metals' with resistivity depending linearly on temperature $T$ down to low-$T$ have been a long-standing puzzle in condensed matter physics. Here, we consider a model of itinerant spin-$1/2$ fermions interacting via on-site Hubbard…

强关联电子 · 物理学 2020-09-14 Peter Cha , Nils Wentzell , Olivier Parcollet , Antoine Georges , Eun-Ah Kim

Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement R\'enyi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use…

高能物理 - 理论 · 物理学 2020-11-05 Pengfei Zhang

In this letter we construct a large-N exactly solvable model to study the interplay between interaction and topology, by connecting Sacheve-Ye-Kitaev (SYK) model with constant hopping. The hopping forms a band structure that can exhibit…

强关联电子 · 物理学 2018-05-30 Pengfei Zhang , Hui Zhai

We consider the Sachdev-Ye-Kitaev (SYK) model as an effective theory arising at the zero-dimensional boundary of a many-body localized, Fermionic symmetry protected topological (SPT) phase in one spatial dimension. The Fermions at the…

强关联电子 · 物理学 2017-04-05 Yi-Zhuang You , Andreas W. W. Ludwig , Cenke Xu

We study a description of the large N limit of the Sachdev-Ye-Kitaev (SYK) model in terms of quantum mechanics without quenched disorder. Instead of random couplings, we introduce massive scalar fields coupled to fermions, and study a small…

高能物理 - 理论 · 物理学 2017-11-28 Takahiro Nishinaka , Seiji Terashima

Estimating thermal expectations of local observables is a natural target for quantum advantage. We give a simple classical algorithm that approximates thermal expectations for Gibbs states of local Hamiltonians, and we show it has…

量子物理 · 物理学 2026-04-23 Alexander Zlokapa , Bobak T. Kiani

Many-body chaos has emerged as a powerful framework for understanding thermalization in strongly interacting quantum systems. While recent analytic advances have sharpened our intuition for many-body chaos in certain large $N$ theories, it…

We make lattice generalization of two well-known zero-dimensional models of quantum spin glass, Sachdev-Ye (SY) and spherical quantum $p$-spin glass model, to one dimension for studying crossovers in non-local scrambling dynamics due to…

无序系统与神经网络 · 物理学 2024-10-08 Venkata Lokesh K. Y , Surajit Bera , Sumilan Banerjee

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…

高能物理 - 理论 · 物理学 2022-01-14 Biao Lian , S. L. Sondhi , Zhenbin Yang

We analyze the quantum chaotic behavior of the Yukawa-SYK model as a function of filling and temperature, which describes random Yukawa interactions between $N$ complex fermions and $M$ bosons in zero spatial dimensions, for both the…

强关联电子 · 物理学 2023-05-25 Andrew Davis , Yuxuan Wang

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…

统计力学 · 物理学 2021-03-15 Jaewon Kim , Xiangyu Cao

We study thermalization dynamics in a fermion-phonon variant of the Sachdev-Ye-Kitaev model coupled to an external cold thermal bath of harmonic oscillators. We find that quantum critical fermions thermalize more efficiently than phonons,…

强关联电子 · 物理学 2023-10-02 Hossein Hosseinabadi , Shane P. Kelly , Jörg Schmalian , Jamir Marino

It has been recently proposed by Maldacena and Qi that an eternal traversable wormhole in a two dimensional Anti de Sitter space (${\rm AdS}_2$) is the gravity dual of the low temperature limit of two Sachdev-Ye-Kitaev (SYK) models coupled…

高能物理 - 理论 · 物理学 2019-07-17 Antonio M. García-García , Tomoki Nosaka , Dario Rosa , Jacobus J. M. Verbaarschot

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…

统计力学 · 物理学 2019-10-23 Thomas Scaffidi , Ehud Altman

Sachdev-Ye-Kitaev (SYK) model has emerged as a new paradigm of the non-Fermi-liquid behavior. Here we investigate a possibility of having a superconducting off-diagonal long-range order (ODLRO) and a pseudogap phase within the SYK…

强关联电子 · 物理学 2020-07-08 Hanteng Wang , A. L. Chudnovskiy , Alexander Gorsky , Alex Kamenev

Models for strongly interacting fermions in disordered clusters forming an array, with electron hopping between sites, reproduce the linear dependence on temperature of the resistivity, typical of the strange metal phase of High Temperature…

强关联电子 · 物理学 2021-12-17 F. Salvati , A. Tagliacozzo

The out of equilibrium dynamics of the Sachdev-Ye-Kitaev model (SYK), comprising $N$ Majoranas with random all-to-all four-body interactions, minimally coupled to a Markovian bath modeled by the Lindblad formalism, displays intriguing…

量子物理 · 物理学 2025-10-20 Jie-ping Zheng , Jorge Dukelsky , Rafael A. Molina , Antonio M. García-García