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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…

强关联电子 · 物理学 2022-12-06 Debanjan Chowdhury , Antoine Georges , Olivier Parcollet , Subir Sachdev

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…

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…

强关联电子 · 物理学 2018-06-18 Étienne Lantagne-Hurtubise , Chengshu Li , Marcel Franz

Entanglement is one of the most important concepts in quantum physics. We review recent progress in understanding the quantum entanglement in many-body systems using large-$N$ solvable models: the Sachdev-Ye-Kitaev (SYK) model and its…

强关联电子 · 物理学 2022-03-04 Pengfei Zhang

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…

无序系统与神经网络 · 物理学 2020-09-07 Ye Cao , Yi-Neng Zhou , Ting-Ting Shi , Wei Zhang

The Sachdev-Ye-Kitaev (SYK) model is a cornerstone in the study of quantum chaos and holographic quantum matter. Real-world implementations, however, deviate from the idealized all-to-all connectivity, raising questions about the robustness…

统计力学 · 物理学 2024-12-20 Andrea Legramandi , Soumik Bandyopadhyay , Philipp Hauke

We investigate a bosonic variant of the Sachdev-Ye-Kitaev (SYK) model coupled to a Lindbladian environment, focusing on the interplay between quantum many-body dynamics and dissipation. Using the Schwinger-Keldysh path integral formalism in…

量子物理 · 物理学 2025-08-08 Yifei Liu , Anish Kulkarni , Shinsei Ryu

The Sachdev-Ye-Kitaev (SYK) model provides an analytically tractable framework for exotic strongly correlated phases where conventional paradigms like Landau's Fermi liquid theory collapse. This review offers a pedagogical introduction to…

高能物理 - 理论 · 物理学 2025-07-16 Rishabh Jha

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

Quantum computers are expected to be vital for exploring complex dynamics in many-body quantum systems. Thus, validating established results on current quantum computers is essential for evaluating their future utility. Hence, we…

量子物理 · 物理学 2025-12-17 Talal Ahmed Chowdhury , Kwangmin Yu , Raza Sabbir Sufian

The search for a quantum theory of gravity has led to the discovery of quantum many-body systems that are dual to gravitational models with quantum properties. The perhaps most famous of these systems is the Sachdev-Ye-Kitaev (SYK) model.…

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…

量子物理 · 物理学 2024-02-12 Hanteng Wang , Chang Liu , Pengfei Zhang , Antonio M. García-García

We study the level statistics of a generalized Sachdev-Ye-Kitaev (SYK) model with two-body and one-body random interactions of finite range by exact diagonalization. Tuning the range of the one-body term, while keeping the two-body…

高能物理 - 理论 · 物理学 2019-02-06 Antonio M. García-García , Masaki Tezuka

We study the complex Sachdev-Ye-Kitaev (cSYK) numerically and investigate thermodynamic behavior of cSYK model across varying chemical potentials. We discover that the cSYK model remarkably mirrors the first-order phase transition seen in…

高能物理 - 理论 · 物理学 2025-01-03 Sizheng Cao , Xian-Hui Ge , Yi-Cheng Rui

A deep understanding of the mechanisms underlying many-body quantum chaos is one of the big challenges in contemporary theoretical physics. We tackle this problem in the context of a set of perturbed quadratic Sachdev-Ye-Kitaev (SYK)…

量子物理 · 物理学 2025-02-05 Alexei Andreanov , Matteo Carrega , Jeff Murugan , Jan Olle , Dario Rosa , Ruth Shir

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

These notes are a short introduction to the Sachdev-Ye-Kitaev model. We discuss: SYK and tensor models as a new class of large N quantum field theories, the near-conformal invariance in the infrared, the computation of correlation…

高能物理 - 理论 · 物理学 2020-03-11 Vladimir Rosenhaus

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…

强关联电子 · 物理学 2017-11-22 Xin Chen , Ruihua Fan , Yiming Chen , Hui Zhai , Pengfei Zhang

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…

量子气体 · 物理学 2017-09-07 Ippei Danshita , Masanori Hanada , Masaki Tezuka

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
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