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相关论文: Creating and probing the Sachdev-Ye-Kitaev model w…

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We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of fermions with a conserved fermion number, $\mathcal{Q}$. We extend a previously proposed Schwarzian effective action to include a phase field, and this…

强关联电子 · 物理学 2017-04-26 Richard A. Davison , Wenbo Fu , Antoine Georges , Yingfei Gu , Kristan Jensen , Subir Sachdev

We develop a systematic and unified random matrix theory to classify Sachdev-Ye-Kitaev (SYK) and supersymmetric (SUSY) SYK models and also work out the structure of the energy levels in one periodic table. The SYK with even $q$- and SUSY…

强关联电子 · 物理学 2020-07-01 Fadi Sun , Jinwu Ye

We study a two-site Sachdev-Ye-Kitaev (SYK) model with complex couplings, and identify a low temperature transition to a gapped phase characterized by a constant in temperature free energy. This transition is observed without introducing a…

高能物理 - 理论 · 物理学 2021-02-24 Antonio M. García-García , Victor Godet

We present a microscopic theory for quantum thermoelectric and heat transport in the Schwarzian regime of the Sachdev-Ye-Kitaev (SYK) model. As a charged fermion realization of the SYK model in nanostructures we assume a setup based on a…

强关联电子 · 物理学 2021-05-12 Andrei I. Pavlov , Mikhail N. Kiselev

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

In this Letter we consider the out-of-equilibrium phenomena in the complex Sachdev-Ye-Kitaev (SYK) model supplemented with the attractive Hubbard interaction (SYK+U). This model provides the clear-cut transition from non-Fermi liquid phase…

强关联电子 · 物理学 2023-11-15 Artem Alexandrov , Alexander Gorsky

We consider granular quantum matter defined by Sachdev-Ye-Kitaev (SYK) dots coupled via random one-body hopping. Within the framework of Schwarzian field theory, we identify a zero temperature quantum phase transition between an insulating…

强关联电子 · 物理学 2019-09-10 Alexander Altland , Dmitry Bagrets , Alex Kamenev

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 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

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

Periodically driven quantum matter can realize exotic dynamical phases. In order to understand how ubiquitous and robust these phases are, it is pertinent to investigate the heating dynamics of generic interacting quantum systems. Here we…

强关联电子 · 物理学 2020-03-31 Clemens Kuhlenkamp , Michael Knap

We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and other $p$-local quantum mechanical random Hamiltonians. These models exhibit an expansion using chord diagrams, which can be solved by combinatorial methods.…

高能物理 - 理论 · 物理学 2024-11-28 Micha Berkooz , Ohad Mamroud

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.…

强关联电子 · 物理学 2024-12-13 Han-yuan Zuo , Zheng-xin Liu

We provide the first steps towards a flat space holographic correspondence in two bulk spacetime dimensions. The gravity side is described by a conformally transformed version of the matterless Callan-Giddings-Harvey-Strominger model. The…

高能物理 - 理论 · 物理学 2020-04-29 Hamid Afshar , Hernan Gonzalez , Daniel Grumiller , Dmitri Vassilevich

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…

强关联电子 · 物理学 2018-09-19 Jinwu Ye

The double-scaled limit of the Sachdev-Ye-Kitaev (SYK) model takes the number of fermions and their interaction number to infinity in a coordinated way. In this limit, two entangled copies of the SYK model have a bulk description of sorts…

高能物理 - 理论 · 物理学 2023-12-13 Henry W. Lin , Douglas Stanford

A class of tensor models were recently outlined as potentially calculable examples of holography: their perturbative large-$N$ behavior is similar to the Sachdev-Ye-Kitaev (SYK) model, but they are fully quantum mechanical (in the sense…

高能物理 - 理论 · 物理学 2017-05-04 Chethan Krishnan , Sambuddha Sanyal , P. N. Bala Subramanian

We study the electric and thermoelectric transport through a spinful complex Sachdev-Ye-Kitaev (SYK) quantum dot coupled to metallic leads, forming a N-SYK-N junction, by the Keldysh field theory approach. Unlike traditional equilibrium…

强关联电子 · 物理学 2025-12-11 Marco Uguccioni , Daniele Morotti , Luca Dell'Anna

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

We propose a new model of low dimensional de Sitter holography in the form of a pair of double-scaled SYK models at infinite temperature coupled via an equal energy constraint $H_L=H_R$. As a test of the duality, we compute the two-point…

高能物理 - 理论 · 物理学 2023-10-27 Vladimir Narovlansky , Herman Verlinde