English
Related papers

Related papers: Coupled Sachdev-Ye-Kitaev models without Schwartzi…

200 papers

We study the SYK$_4$ model with a weak SYK$_2$ term of magnitude $\Gamma$ beyond the simplest perturbative limit considered previously. For intermediate values of the perturbation strength, $J/N \ll \Gamma \ll J/\sqrt{N}$, fluctuations of…

Strongly Correlated Electrons · Physics 2020-11-11 A. V. Lunkin , A. Yu. Kitaev , M. V. Feigel'man

We propose an extension of the Sachdev-Ye-Kitaev (SYK) model that exhibits a quantum phase transition from the previously identified non-Fermi liquid fixed point to a Fermi liquid like state, while still allowing an exact solution in a…

Strongly Correlated Electrons · Physics 2017-04-21 Sumilan Banerjee , Ehud Altman

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…

High Energy Physics - Theory · Physics 2018-05-09 Antonio M. García-García , Yiyang Jia , Jacobus J. M. Verbaarschot

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…

High Energy Physics - Theory · Physics 2023-02-08 Matthew Heydeman , Gustavo J. Turiaci , Wenli Zhao

We argue that the Sachdev-Ye-Kitaev model has no spin glass phase, based on calculations involving both the nearly-conformal limit and the strongly-coupled Schwarzian limit of the model. This conclusion is supported by numerical…

High Energy Physics - Theory · Physics 2018-12-05 Guy Gur-Ari , Raghu Mahajan , Abolhassan Vaezi

Models for strongly interacting fermions in disordered clusters forming an array, with electron hopping between sites, reproduce the linear dependence on temperature of the resistivity, typical of the strange metal phase of High Temperature…

Strongly Correlated Electrons · Physics 2021-12-17 F. Salvati , A. Tagliacozzo

We address the key open problem of a higher dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model. We construct a model on a lattice of SYK dots with non-random intersite hopping. The crucial feature of the resulting band…

Strongly Correlated Electrons · Physics 2018-06-20 Arijit Haldar , Sumilan Banerjee , Vijay B. Shenoy

We develop a general framework for studying the equilibrium and non-equilibrium properties of arbitrary networks of Sachdev-Ye-Kitaev clusters coupled to thermal baths. We proceed to apply this technique to the problem of energy transport,…

Strongly Correlated Electrons · Physics 2022-01-04 Cristian Zanoci , Brian Swingle

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…

High Energy Physics - Theory · Physics 2018-07-18 Javier M. Magan

It is intuitively expected, and supported by earlier studies, that many-body quantum chaos is suppressed, or even destroyed, by dissipative effects induced by continuous monitoring. We show here that this is not always the case. For this…

Quantum Physics · Physics 2026-03-19 Xianlong Liu , Jie-ping Zheng , Antonio M. García-García

We study the out-of-equilibrium dynamics of a Sachdev-Ye-Kitaev (SYK) model, $N$ fermions with a $q$-body interaction of infinite range, coupled to a Markovian environment. Close to the infinite-temperature steady state, the real-time…

High Energy Physics - Theory · Physics 2023-05-05 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Jie Ping Zheng

Recent discoveries have highlighted the significance of replica wormholes in resolving the information paradox and establishing the unitarity of black hole evaporation. In this letter, we propose the dissipative Sachdev-Ye-Kitaev model…

Quantum Physics · Physics 2024-02-12 Hanteng Wang , Chang Liu , Pengfei Zhang , Antonio M. García-García

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…

High Energy Physics - Theory · Physics 2019-12-17 Stéphane Dartois , Harold Erbin , Swapnamay Mondal

These notes are a short introduction to the Sachdev-Ye-Kitaev model. We discuss: SYK and tensor models as a new class of large N quantum field theories, the near-conformal invariance in the infrared, the computation of correlation…

High Energy Physics - Theory · Physics 2020-03-11 Vladimir Rosenhaus

Random spin systems at low temperatures are glassy and feature computational hardness in finding low-energy states. We study the random all-to-all interacting fermionic Sachdev--Ye--Kitaev (SYK) model and prove that, in contrast, (I) the…

Quantum Physics · Physics 2024-11-06 Eric R. Anschuetz , Chi-Fang Chen , Bobak T. Kiani , Robbie King

We show that the proper inclusion of soft reparameterization modes in the Sachdev-Ye-Kitaev model of $N$ randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics. As a result, all zero…

Strongly Correlated Electrons · Physics 2016-08-15 Dmitry Bagrets , Alexander Altland , Alex Kamenev

Estimating local observables in Gibbs states is a central problem in quantum simulation. While this task is BQP-complete at asymptotically low temperatures, the possibility of quantum advantage at constant temperature remains open. The…

Quantum Physics · Physics 2026-04-24 Alexander Zlokapa

The Sachdev-Ye-Kitaev (SYK) model attracts attention in the context of information scrambling, which represents delocalization of quantum information and is quantified by the out-of-time-ordered correlators (OTOC). The SYK model contains…

Statistical Mechanics · Physics 2018-11-20 Eiki Iyoda , Hosho Katsura , Takahiro Sagawa

Quantum computers are expected to be vital for exploring complex dynamics in many-body quantum systems. Thus, validating established results on current quantum computers is essential for evaluating their future utility. Hence, we…

Quantum Physics · Physics 2025-12-17 Talal Ahmed Chowdhury , Kwangmin Yu , Raza Sabbir Sufian

We study a sparse version of the Sachdev-Ye-Kitaev (SYK) model defined on random hypergraphs constructed either by a random pruning procedure or by randomly sampling regular hypergraphs. The resulting model has a new parameter, $k$, defined…

Strongly Correlated Electrons · Physics 2020-08-07 Shenglong Xu , Leonard Susskind , Yuan Su , Brian Swingle