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相关论文: Chaotic-Integrable Transition in the Sachdev-Ye-Ki…

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Understanding how quantum chaotic systems generate entanglement can provide insight into their microscopic chaotic dynamics and can help distinguish between different classes of chaotic behavior. Using von Neumann entanglement entropy, we…

量子物理 · 物理学 2026-05-28 Tanay Pathak , Masaki Tezuka

We study thermodynamic phase transitions between integrable and chaotic dynamics. We do so by analyzing models that interpolate between the chaotic double scaled Sachdev-Ye-Kitaev (SYK) and the integrable $p$-spin systems, in a limit where…

高能物理 - 理论 · 物理学 2024-10-24 Micha Berkooz , Nadav Brukner , Yiyang Jia , Ohad Mamroud

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

Sachdev-Ye-Kitaev (SYK) or embedded random ensembles are models of $N$ fermions with random k-body interactions. They play an important role in understanding black hole dynamics, quantum chaos, and thermalization. We study out of…

高能物理 - 理论 · 物理学 2018-07-18 Javier M. Magan

We study the non-stabilizerness or quantum magic of the Sachdev-Ye-Kitaev ($\rm SYK$) model, a prototype example of maximally chaotic quantum matter. We show that the Majorana spectrum of its ground state, encoding the spreading of the…

量子物理 · 物理学 2025-12-24 Surajit Bera , Marco Schirò

Understanding the emergence of complex correlations in strongly interacting systems remains a fundamental challenge in quantum many-body physics. One fruitful approach is to develop solvable toy models that encapsulate universal properties…

量子物理 · 物理学 2026-01-26 Ning Sun , Peng Zhang , Pengfei Zhang

The eigenstate thermalization hypothesis (ETH) is a conjecture on the nature of isolated quantum systems that guarantees the thermal behavior of subsystems when it is satisfied. ETH has been tested in various forms on a number of local…

统计力学 · 物理学 2019-09-18 Masudul Haque , Paul McClarty

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…

高能物理 - 理论 · 物理学 2021-11-10 Elena Caceres , Anderson Misobuchi , Rafael Pimentel

This paper considers a type of generalized large $q$ SYK models which include multi-body interactions between Majorana fermions. We derive an effective action in the limit of large $N$ and large $q$ (with ${~q^2\over N} $ small), and find a…

高能物理 - 理论 · 物理学 2019-09-04 Jiaqi Jiang , Zhenbin Yang

Equilibrium quantum many-body systems in the vicinity of phase transitions generically manifest universality. In contrast, limited knowledge has been gained on possible universal characteristics in the non-equilibrium evolution of systems…

强关联电子 · 物理学 2023-05-24 Soumik Bandyopadhyay , Philipp Uhrich , Alessio Paviglianiti , Philipp Hauke

Many key features of the higher-dimensional Sachdev-Ye-Kitaev (SYK) model at {\it finite} $N$ remain unknown. Here we study the SYK chain consisting of $N$ ($N$$\ge$$2$) fermions per site with random interactions and hoppings between…

强关联电子 · 物理学 2020-06-16 Xin Dai , Shao-Kai Jian , Hong Yao

Strongly correlated metals comprise an enduring puzzle at the heart of condensed matter physics. Commonly a highly renormalized heavy Fermi liquid occurs below a small coherence scale, while at higher temperatures a broad incoherent regime…

强关联电子 · 物理学 2017-11-29 Xue-Yang Song , Chao-Ming Jian , Leon Balents

We study the dynamics of chaos across the phase transition in a 2-coupled Sachdev-Ye-Kitaev (SYK) model, with a focus on the unstable "hot wormhole" phase. Using the Schwinger-Keldysh formalism, we employ two non-equilibrium protocols that…

高能物理 - 理论 · 物理学 2025-04-30 Martí Berenguer , Javier Mas , Juan Santos-Suárez , Alfonso V. Ramallo

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

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…

高能物理 - 理论 · 物理学 2017-03-16 David J. Gross , Vladimir Rosenhaus

We study a quantum mechanical model proposed by Sachdev, Ye and Kitaev. The model consists of $N$ Majorana fermions with random interactions of a few fermions at a time. It it tractable in the large $N$ limit, where the classical variable…

高能物理 - 理论 · 物理学 2016-11-09 Juan Maldacena , Douglas Stanford

We investigate a model closely related to both the original Sachdev-Ye-Kitaev (SYK) model and the $\mathcal{N}=1$ supersymmetric SYK model. It consists of $N$ real Majorana fermions and $M$ auxiliary bosons with Yukawa interactions. We…

高能物理 - 理论 · 物理学 2019-02-20 Eric Marcus , Stefan Vandoren

We study $\mathcal{N}=2$ supersymmetric Sachdev-Ye-Kitaev (SYK) models with complex fermions at non-zero background charge. Motivated by multi-charge supersymmetric black holes, we propose a new $\mathcal{N}=2$ SYK model with multiple…

高能物理 - 理论 · 物理学 2023-02-08 Matthew Heydeman , Gustavo J. Turiaci , Wenli Zhao

We study the thermodynamic properties of a two-site coupled complex Sachdev-Ye-Kitaev (SYK) model in the large $N$ limit by solving the saddle-point Schwinger-Dyson (SD) equations. We find that its phase diagram is richer than in the…

高能物理 - 理论 · 物理学 2021-06-02 Antonio M. García-García , Jie Ping Zheng , Vaios Ziogas

We investigate the charged $q/2$-body interacting Sachdev-Ye-Kitaev (SYK) model in the grand-canonical ensemble. By treating $q$ as a large parameter, we are able to analytically study its phase diagram. By varying the chemical potential or…

强关联电子 · 物理学 2023-02-14 Jan Louw , Stefan Kehrein