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The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled…

无序系统与神经网络 · 物理学 2017-10-04 Aaron Chew , Andrew Essin , Jason Alicea

Sachdev-Ye-Kitaev (SYK) model, which describes $N$ randomly interacting Majorana fermions in 0+1 dimension, is found to be an solvable UV-complete toy model for holographic duality in nearly AdS$_2$ dilaton gravity. Ref. [1] proposed a…

高能物理 - 理论 · 物理学 2020-06-24 Xiao-Liang Qi , Pengfei Zhang

We propose a low energy model for simulating an analog black hole on an optical lattice using ultracold atoms. Assuming the validity of the holographic principle, we employ the Sachdev-Ye-Kitaev (SYK) model, which describes a system of…

The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates…

无序系统与神经网络 · 物理学 2022-03-15 Jan Behrends , Benjamin Béri

The Sachdev-Ye-Kitaev (SYK) model can be used to describe black holes (BHs) in two-dimensional nearly-anti-de-Sitter gravity. We show that when such BHs are perturbed by a time-dependent negative-energy perturbation, their interior can be…

高能物理 - 理论 · 物理学 2019-04-03 Ram Brustein , Yoav Zigdon

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 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 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, in its simplest form, describes $k$ Majorana fermions with random all-to-all four-body interactions. We consider the SYK model in the framework of a many-body Altland-Zirnbauer classification that sees the…

无序系统与神经网络 · 物理学 2019-06-21 Jan Behrends , Jens H. Bardarson , Benjamin Béri

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

We simulate the smallest building block of the Sachdev-Ye-Kitaev (SYK) model, a system of four interacting Majorana modes. We propose a 1D Kitaev chain that has been split into three segments, i.e., two topological segments separated by a…

介观与纳米尺度物理 · 物理学 2022-12-14 Tasnum Reza , Sergey M. Frolov , David Pekker

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

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 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

We show analytically that the spectral density of the $q$-body Sachdeev-Ye-Kitaev (SYK) model agrees with that of Q-Hermite polynomials with Q a non-trivial function of $q \ge 2$ and the number of Majorana fermions $N \gg 1$. Numerical…

高能物理 - 理论 · 物理学 2017-09-20 Antonio M. García-García , Jacobus J. M. Verbaarschot

The Sachdev--Ye--Kitaev is a quantum mechanical model of $N$ Majorana fermions which displays a number of appealing features -- solvability in the strong coupling regime, near-conformal invariance and maximal chaos -- which make it a…

高能物理 - 理论 · 物理学 2019-12-17 Stéphane Dartois , Harold Erbin , Swapnamay Mondal

We show that a single-fermion quantum dot acquires odd-frequency Gor'kov anomalous averages in proximity to strongly correlated Majorana zero modes, described by the Sachdev-Ye-Kitaev (SYK) model. Despite the presence of finite anomalous…

介观与纳米尺度物理 · 物理学 2019-01-15 Nikolay V. Gnezdilov

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

In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with $U(1)$ charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping…

高能物理 - 理论 · 物理学 2020-11-30 Pengfei Zhang

The Sachdev-Ye-Kitaev (SYK) model, has emerged as a powerful tool for exploring the quantum nature of black holes, particularly their residual entropy at zero temperature. In this work, we investigate the role of long-range interactions in…

强关联电子 · 物理学 2024-12-11 Andrea Solfanelli , Francesco Petocchi , Nicolò Defenu
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