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The Sachdev-Ye-Kitaev (SYK) model incorporates rich physics, ranging from exotic non-Fermi liquid states without quasiparticle excitations, to holographic duality and quantum chaos. However, its experimental realization remains a daunting…

Quantum Physics · Physics 2019-06-25 Zhihuang Luo , Yi-Zhuang You , Jun Li , Chao-Ming Jian , Dawei Lu , Cenke Xu , Bei Zeng , Raymond Laflamme

The Sachdev-Ye-Kitaev (SYK) model is zero-dimensional model simulating quantum chaos using interacting Majorana fermions.Previously proposals have been made to realize the SYK model in fermionic systems that can support majorana zero modes.…

Strongly Correlated Electrons · Physics 2024-12-13 Han-yuan Zuo , Zheng-xin Liu

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

We study a series of perturbations on the Sachdev-Ye-Kitaev (SYK) model. We show that the chaotic non-Fermi liquid phase described by the ordinary $q = 4$ SYK model has marginally relevant/irrelevant (depending on the sign of the coupling…

Strongly Correlated Electrons · Physics 2017-05-05 Zhen Bi , Chao-Ming Jian , Yi-Zhuang You , Kelly Ann Pawlak , Cenke Xu

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…

Strongly Correlated Electrons · Physics 2018-07-19 Chunxiao Liu , Xiao Chen , Leon Balents

Quantum chaos is one of the distinctive features of the Sachdev-Ye-Kitaev (SYK) model, $N$ Majorana fermions in $0+1$ dimensions with infinite-range two-body interactions, which is attracting a lot of interest as a toy model for holography.…

High Energy Physics - Theory · Physics 2018-06-20 Antonio M. García-García , Bruno Loureiro , Aurelio Romero-Bermúdez , Masaki Tezuka

We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete…

Disordered Systems and Neural Networks · Physics 2020-09-07 Ye Cao , Yi-Neng Zhou , Ting-Ting Shi , Wei Zhang

The Sachdev-Ye-Kitaev (SYK) model is a system of $N$ Majorana fermions with random interactions and strongly chaotic dynamics, which at low energy admits a holographically dual description as two-dimensional Jackiw-Teitelboim gravity. Hence…

High Energy Physics - Theory · Physics 2024-10-01 Patrick Orman , Hrant Gharibyan , John Preskill

Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior is expected to occur under certain…

Strongly Correlated Electrons · Physics 2018-06-18 Étienne Lantagne-Hurtubise , Chengshu Li , Marcel Franz

We propose a simple solvable variant of the Sachdev-Ye-Kitaev (SYK) model which displays a quantum phase transition from a fast-scrambling non-Fermi liquid to disordered Fermi liquid. Like the canonical SYK model, our variant involves a…

Strongly Correlated Electrons · Physics 2019-07-24 Oguzhan Can , Marcel Franz

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…

Statistical Mechanics · Physics 2018-11-20 Eiki Iyoda , Hosho Katsura , Takahiro Sagawa

We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The…

Strongly Correlated Electrons · Physics 2022-12-06 Debanjan Chowdhury , Antoine Georges , Olivier Parcollet , Subir Sachdev

We construct a model of Pauli spin operators with all-to-all 4-local interactions by replacing Majorana fermions in the SYK model with spin operators. Equivalently, we replace fermions with hard-core bosons. We study this model numerically…

High Energy Physics - Theory · Physics 2024-05-28 Masanori Hanada , Antal Jevicki , Xianlong Liu , Enrico Rinaldi , Masaki Tezuka

We suggest that the holographic principle, combined with recent technological advances in atomic, molecular, and optical physics, can lead to experimental studies of quantum gravity. As a specific example, we consider the Sachdev-Ye-Kitaev…

Quantum Gases · Physics 2017-09-07 Ippei Danshita , Masanori Hanada , Masaki Tezuka

Inspired by the recent interest in the Sachdev-Ye-Kitaev (SYK) model we study a class of multi-flavored one- and two-band fermion systems with no bare dispersion. In contrast to the previous work on the SYK model that would routinely assume…

Strongly Correlated Electrons · Physics 2018-11-16 D. V. Khveshchenko

Understanding how quantum systems transition from integrable to fully chaotic behavior remains a central open problem in physics. The Sachdev--Ye--Kitaev (SYK) model provides a paradigmatic framework for studying many-body chaos and…

The Sachdev-Ye-Kitaev (SYK) model is a concrete solvable model to study non-Fermi liquid properties, holographic duality and maximally chaotic behavior. In this work, we consider a generalization of the SYK model that contains two SYK…

Strongly Correlated Electrons · Physics 2017-11-22 Xin Chen , Ruihua Fan , Yiming Chen , Hui Zhai , Pengfei Zhang

The Sachdev--Ye--Kitaev (SYK) model is a paradigm for extreme quantum chaos, non-Fermi-liquid behavior, and holographic matter. Yet, the dense random all-to-all interactions that characterize it are an extreme challenge for realistic…

We analyze a model of qubits which we argue has an emergent quantum gravitational description similar to the fermionic Sachdev-Ye-Kitaev (SYK) model. The model we consider is known as the quantum $q$-spin model because it features $q$-local…

High Energy Physics - Theory · Physics 2023-11-06 Brian Swingle , Michael Winer

The SYK model: fermions with a $q$-body, Gaussian-random, all-to-all interaction, is the first of a fascinating new class of solvable large $N$ models. We generalize SYK to include $f$ flavors of fermions, each occupying $N_a$ sites and…

High Energy Physics - Theory · Physics 2017-03-16 David J. Gross , Vladimir Rosenhaus
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