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Related papers: Combinatorial aspects of the Sachdev-Ye-Kitaev mod…

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We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions. These provide tractable models of the dynamics of quantum systems without quasiparticle excitations. The Kadanoff-Baym…

Strongly Correlated Electrons · Physics 2017-11-22 Andreas Eberlein , Valentin Kasper , Subir Sachdev , Julia Steinberg

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…

High Energy Physics - Theory · Physics 2023-12-13 Henry W. Lin , Douglas Stanford

We investigate the non-equilibrium dynamics of a resonant level model coupled to a strongly interacting electron bath modeled by a Sachdev-Ye-Kitaev (SYK) model. Different from the well-investigated case of a structureless non-interacting…

Strongly Correlated Electrons · Physics 2026-03-27 Anastasia Enckell , Stefan Kehrein

The Sachdev--Ye--Kitaev (SYK) model is a prominent model of strongly interacting fermions that serves as a toy model of quantum gravity and black hole physics. In this work, we study the Trotter error and gate complexity of the quantum…

Quantum Physics · Physics 2026-02-11 Yiyuan Chen , Jonas Helsen , Maris Ozols

We study non-equilibrium dynamics induced by a sudden quench of strongly correlated Hamiltonians with all-to-all interactions. By relying on a Sachdev-Ye-Kitaev (SYK) based quench protocol, we show that the time evolution of simple…

Quantum Physics · Physics 2021-06-14 Matteo Carrega , Joonho Kim , Dario Rosa

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…

Statistical Mechanics · Physics 2024-12-20 Andrea Legramandi , Soumik Bandyopadhyay , Philipp Hauke

We study large $N$ tensor models on the lattice without disorder. We introduce techniques which can be applied to a wide class of models, and illustrate it by studying some specific rank-3 tensor models. In particular, we study…

High Energy Physics - Theory · Physics 2017-09-13 Prithvi Narayan , Junggi Yoon

The saturation of a recently proposed universal bound on the Lyapunov exponent has been conjectured to signal the existence of a gravity dual. This saturation occurs in the low temperature limit of the dense Sachdev-Ye-Kitaev (SYK) model,…

High Energy Physics - Theory · Physics 2023-11-02 Antonio M. García-García , Chang Liu , Jacobus J. M. Verbaarschot

We study spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model, a variant of the $k$-body embedded random ensembles studied for several decades in the context of nuclear physics and quantum chaos. We show analytically that…

High Energy Physics - Theory · Physics 2016-12-28 Antonio M. García-García , Jacobus J. M. Verbaarschot

We investigate the thermalization of Sachdev-Ye-Kitaev (SYK) models coupled via random interactions following quenches from the perspective of entanglement. Previous studies have shown that when a system of two SYK models coupled by random…

Strongly Correlated Electrons · Physics 2022-01-25 Ramanjit Sohal , Laimei Nie , Xiao-Qi Sun , Eduardo Fradkin

Large $N$ melonic theories are characterized by two-point function Feynman diagrams built exclusively out of melons. This leads to conformal invariance at strong coupling, four-point function diagrams that are exclusively ladders, and…

High Energy Physics - Theory · Physics 2018-01-17 David J. Gross , Vladimir Rosenhaus

Quantum entanglement and quantum magic are two distinct fundamental resources that enable quantum systems to exhibit complex phenomena beyond the capabilities of classical computer simulations. While quantum entanglement has been…

Quantum Physics · Physics 2026-02-10 Pengfei Zhang , Shuyan Zhou , Ning Sun

We study the joint distribution of SYK Hamiltonians for different systems with specified overlaps. We show that, in the large-system limit, their joint distribution converges in distribution to a mixed $q$-Gaussian system. We explain that…

Operator Algebras · Mathematics 2026-04-07 Weihua Liu , Haoqi Shen

We consider a version of the Sachdev-Ye-Kitaev model with complex fermions. We apply the shadow formalism to find four-point functions in the leading order in $1/N$ and dimensions of operators present in the theory. We also compute the…

High Energy Physics - Theory · Physics 2018-01-30 Ksenia Bulycheva

We introduce a family of tensor quantum-mechanical models based on irreducible rank-$3$ representations of $\mathrm{Sp}(N)$. In contrast to irreducible tensor models with $\mathrm{O}(N)$ symmetry, the fermionic tetrahedral interaction does…

High Energy Physics - Theory · Physics 2019-02-28 Sylvain Carrozza , Victor Pozsgay

We investigate quantum noise in a mesoscopic quantum dot serving as a realization of the charged Sachdev-Ye-Kitaev (SYK) model weakly coupled to a fermionic lead via a tunnel contact. We find noise signatures under voltage and temperature…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Andrei I. Pavlov , Mikhail N. Kiselev

The periodic Anderson model is a classic theoretical model for understanding novel physics in heavy fermion systems. Here, we modify it with the Sachdev-Ye-Kitaev interaction, (random all-to-all interaction) thus the resultant model admits…

Strongly Correlated Electrons · Physics 2018-11-28 Yin Zhong

A colloquium style review of the connections between the Sachdev-Ye-Kitaev model and strange metals without quasiparticles, and between the SYK model and the quantum properties of black holes. Along with other insights, this connection has…

High Energy Physics - Theory · Physics 2022-12-06 Subir Sachdev

It is known that, for a range of chemical potentials, the infrared behavior of the complex Sachdev-Ye-Kitaev (cSYK) model is governed by a 1D Nearly Conformal Field Theory (NCFT$_{1}$), thereby realizing a continuous line of NCFTs. A finite…

High Energy Physics - Theory · Physics 2026-01-09 Can Onur Akyuz , Erick Arguello Cruz , Ludo Fraser-Taliente , Grigory Tarnopolsky

We study the strong-interaction dynamics of a class of $4D$ chiral $SU(N)$ gauge theories with a fermion in a symmetric second-rank tensor representation and a number of fermions in an anti-antisymmetric tensor representation, extending the…

High Energy Physics - Theory · Physics 2025-02-04 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio , Matteo Orso
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