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The Maldacena-Qi model describes two copies of the Sachdev-Ye-Kitaev model coupled with an additional coupling, and is dual to the Jackiw-Teitelboim gravity which exhibits an eternal traversable wormhole in the low-temperature limit. In…

强关联电子 · 物理学 2020-12-18 Tian-Gang Zhou , Pengfei Zhang

Complex many-particle quantum entanglement is a central theme in two distinct major topics in physics: the strange metal state found in numerous correlated electron compounds, and the quantum theory of black holes in Einstein gravity. The…

强关联电子 · 物理学 2024-01-17 Subir Sachdev

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

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

The SYK model consists of $N\gg 1$ fermions in $0+1$ dimensions with a random, all-to-all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography. We solve the…

高能物理 - 理论 · 物理学 2016-05-04 Joseph Polchinski , Vladimir Rosenhaus

It has been known that the large-$q$ complex SYK model falls under the same universality class as that of van der Waals (mean-field) and saturates the Maldacena-Shenker-Stanford bound, both features shared by various black holes. This makes…

高能物理 - 理论 · 物理学 2024-09-20 Jan C. Louw , Linda M. van Manen , Rishabh Jha

The Sachdev-Ye-Kitaev (SYK) model is a concrete model for non-Fermi Liquid with maximally chaotic behavior in $0+1$-$d$. In order to gain some insights into real materials in higher dimensions where fermions could hop between different…

强关联电子 · 物理学 2017-11-29 Pengfei Zhang

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

The exactly-solvable Sachdev-Ye-Kitaev (SYK) model has recently received considerable attention in both condensed matter and high energy physics because it describes quantum matter without quasiparticles, while being at the same time the…

强关联电子 · 物理学 2020-12-04 Davide Rossini , Gian Marcello Andolina , Dario Rosa , Matteo Carrega , Marco Polini

The Sachdev-Ye-Kitaev (SYK) model is a rare example of a strongly-interacting system that is analytically tractable. Tractability arises because the model is largely structureless by design and therefore artificial: while the interaction is…

无序系统与神经网络 · 物理学 2021-05-24 Johannes Dieplinger , Soumya Bera , Ferdinand Evers

We propose that the thermodynamics and the kinetics of the phase transition between wormhole and two black hole described by the two coupled SYK model can be investigated in terms of the stochastic dynamics on the underlying free energy…

高能物理 - 理论 · 物理学 2021-09-17 Ran Li , Jin Wang

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

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 study the non-equilibrium dynamics of two coupled SYK models, conjectured to be holographically dual to an eternal traversable wormhole in AdS$_2$. We consider different periodic drivings of the parameters of the system. We analyze the…

高能物理 - 理论 · 物理学 2025-01-23 Martí Berenguer , Anshuman Dey , Javier Mas , Juan Santos-Suárez , Alfonso V. Ramallo

We investigate the supersymmetric Sachdev-Ye-Kitaev (SYK) model, $N$ Majorana fermions with infinite range interactions in $0+1$ dimensions. We have found that, close to the ground state $E \approx 0$, discrete symmetries alter…

高能物理 - 理论 · 物理学 2018-05-09 Antonio M. García-García , Yiyang Jia , Jacobus J. M. Verbaarschot

We analyze thermal correlators in the Sachdev-Ye-Kitaev model away from the maximally chaotic limit. Despite the absence of a weakly curved black hole dual, the two point function decomposes into a sum over a discrete set of quasinormal…

高能物理 - 理论 · 物理学 2025-10-01 Matthew Dodelson

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.…

高能物理 - 理论 · 物理学 2018-06-20 Antonio M. García-García , Bruno Loureiro , Aurelio Romero-Bermúdez , Masaki Tezuka

We investigate the replica problem for Sachdev-Ye-Kitaev (SYK) models. First, we consider $n-$replicas of the non-supersymmetric SYK model, finding that this $n$-replica model is solvable only under specific conditions. We then introduce…

高能物理 - 理论 · 物理学 2025-08-14 Xian-Hui Ge , Chenhao Zhang

We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains $N$ Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum…

高能物理 - 理论 · 物理学 2017-03-08 Micha Berkooz , Prithvi Narayan , Moshe Rozali , Joan Simón

This review is a contribution to a book dedicated to the memory of Michael E. Fisher. The first example of a quantum many body system not expected to have any quasiparticle excitations was the Wilson-Fisher conformal field theory. The…

强关联电子 · 物理学 2024-11-22 Subir Sachdev