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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…

High Energy Physics - Theory · Physics 2021-11-10 Elena Caceres , Anderson Misobuchi , Rafael Pimentel

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…

High Energy Physics - Theory · Physics 2017-11-28 Takahiro Nishinaka , Seiji Terashima

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

A brief survey of some random quantum models with infinite-range couplings is presented, ranging from the quantum Ising model to the Sachdev-Ye-Kitaev model. The Sachdev-Ye-Kitaev model was the first to realize an extensive zero temperature…

High Energy Physics - Theory · Physics 2024-12-24 Subir Sachdev

Inspired by recent developments in the study of the model of double scaled SYK (DSSYK), as elucidated in a recent paper, we embark on a re-evaluation of the Sachdev-Ye-Kitaev (SYK) model. Our motivation stems from the insights gained from…

High Energy Physics - Theory · Physics 2025-07-08 Davood Momeni

We consider the Sachdev-Ye-Kitaev (SYK) model as an effective theory arising at the zero-dimensional boundary of a many-body localized, Fermionic symmetry protected topological (SPT) phase in one spatial dimension. The Fermions at the…

Strongly Correlated Electrons · Physics 2017-04-05 Yi-Zhuang You , Andreas W. W. Ludwig , Cenke Xu

The Sachdev-Ye-Kitaev (SYK) model describes Majorana fermions with random interaction, which displays many interesting properties such as non-Fermi liquid behavior, quantum chaos, emergent conformal symmetry and holographic duality. Here we…

High Energy Physics - Theory · Physics 2017-09-13 Yiming Chen , Hui Zhai , Pengfei Zhang

Understanding how quantum chaotic systems generate entanglement can provide insight into their microscopic chaotic dynamics and can help distinguish between different classes of chaotic behavior. Using von Neumann entanglement entropy, we…

Quantum Physics · Physics 2026-05-28 Tanay Pathak , Masaki Tezuka

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…

Strongly Correlated Electrons · Physics 2017-11-29 Xue-Yang Song , Chao-Ming Jian , Leon Balents

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…

High Energy Physics - Theory · Physics 2025-04-30 Martí Berenguer , Javier Mas , Juan Santos-Suárez , Alfonso V. Ramallo

We investigate minimal two-body Hamiltonians with random interactions that generate spectra resembling those of Gaussian random matrices, a phenomenon we term quadratic quantum chaos. Unlike integrable two-body fermionic systems, the…

High Energy Physics - Theory · Physics 2026-04-16 Pallab Basu , Suman Das , Pratik Nandy

In this letter, we study the return amplitude, which is the overlap between the initial state and the time evolved state, in the Sachdev-Ye-Kitaev (SYK) model. Initial states are taken to be product states in a spin basis. We numerically…

High Energy Physics - Theory · Physics 2019-12-25 Tokiro Numasawa

All-to-all interacting, disordered quantum many-body models have a wide range of applications across disciplines, from spin glasses in condensed-matter physics, over holographic duality in high-energy physics, to annealing algorithms in…

We study the effect of non-Gaussian average over the random couplings in a complex version of the celebrated Sachdev-Ye-Kitaev (SYK) model. Using a Polchinski-like equation and random tensor Gaussian universality, we show that the effect of…

High Energy Physics - Theory · Physics 2019-07-03 T. Krajewski , M. Laudonio , R. Pascalie , A. Tanasa

A deep understanding of the mechanisms underlying many-body quantum chaos is one of the big challenges in contemporary theoretical physics. We tackle this problem in the context of a set of perturbed quadratic Sachdev-Ye-Kitaev (SYK)…

Quantum Physics · Physics 2025-02-05 Alexei Andreanov , Matteo Carrega , Jeff Murugan , Jan Olle , Dario Rosa , Ruth Shir

The tractability of the Sachdev-Ye-Kitaev (SYK) model at large $N$ limit makes it ideal to theoretically study its chaotic non-Fermi liquid behavior and holographic duality properties. We show that the complex SYK Hamiltonian emerges from a…

Quantum Gases · Physics 2021-02-03 Chenan Wei , Tigran A. Sedrakyan

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 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…

Strongly Correlated Electrons · Physics 2018-09-19 Jinwu Ye

The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. In this work, we study the thermal R\'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$…

Strongly Correlated Electrons · Physics 2020-07-01 Pengfei Zhang , Chunxiao Liu , Xiao Chen

The 0+1-d Sachdev-Ye-Kitaev (SYK) fermionic model attracts nowadays a wide spread interest of the Condensed Matter community, as a benchmark toy model for strong electron correlation and non Fermi Liquid behavior. It is exactly solvable in…

Strongly Correlated Electrons · Physics 2022-04-06 A. Tagliacozzo