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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

Recent work has shown how to obtain the Page curve of an evaporating black hole from holographic computations of entanglement entropy. We show how these computations can be justified using the replica trick, from geometries with a spacetime…

High Energy Physics - Theory · Physics 2020-04-16 Geoff Penington , Stephen H. Shenker , Douglas Stanford , Zhenbin Yang

We analyze a two-body nonhermitian two-site Sachdev-Ye-Kitaev model with the couplings of one site complex conjugated to the other site. This model, with no explicit coupling between the sites, shows an infinite number of phase transitions…

High Energy Physics - Theory · Physics 2022-10-26 Yiyang Jia , Dario Rosa , 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

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…

Disordered Systems and Neural Networks · Physics 2022-03-15 Jan Behrends , Benjamin Béri

In quantum field theories that admit gravity dual, specific inequalities involving entanglement entropy between arbitrary disjoint spatial regions hold. An example is the negativity of tripartite information. Inspired by this, we…

High Energy Physics - Theory · Physics 2024-09-26 Norihiro Iizuka , Arkaprava Mukherjee , Sunil Kumar Sake , Nicolò Zenoni

The Sachdev-Ye-Kitaev (SYK) model, known for its strong quantum correlations and chaotic behavior, serves as a key platform for quantum gravity studies. However, variationally preparing thermal states on near-term quantum processors for…

Quantum Physics · Physics 2025-06-05 Akash Kundu

We give qualitative arguments for the mesoscopic nature of the Sachdev-Yee-Kitaev (SYK) model in the holographic regime with $q^2/N\ll 1$ with $N$ Majorana particles coupled by antisymmetric and random interactions of range $q$. Using a…

High Energy Physics - Theory · Physics 2017-10-11 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

We study the open quantum dynamics of the Sachdev-Ye-Kitaev (SYK) model described by the Lindblad master equation, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the…

Statistical Mechanics · Physics 2023-08-07 Kohei Kawabata , Anish Kulkarni , Jiachen Li , Tokiro Numasawa , Shinsei Ryu

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…

Strongly Correlated Electrons · Physics 2017-11-29 Pengfei Zhang

We construct a nearly-$AdS_2$ solution describing an eternal traversable wormhole. The solution contains negative null energy generated by quantum fields under the influence of an external coupling between the two boundaries. In parallel,…

High Energy Physics - Theory · Physics 2018-10-17 Juan Maldacena , Xiao-Liang Qi

Recently, new holographic models of black hole evaporation have given fresh insights into the information paradox [arXiv:1905.08255, arXiv:1905.08762, arXiv:1908.10996]. In these models, the black hole evaporates into an auxiliary bath…

High Energy Physics - Theory · Physics 2020-07-24 Hong Zhe Chen , Zachary Fisher , Juan Hernandez , Robert C. Myers , Shan-Ming Ruan

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…

High Energy Physics - Theory · Physics 2017-09-20 Antonio M. García-García , Jacobus J. M. Verbaarschot

Many-body chaos has emerged as a powerful framework for understanding thermalization in strongly interacting quantum systems. While recent analytic advances have sharpened our intuition for many-body chaos in certain large $N$ theories, it…

Glassy dynamics have time-reparametrization `softness': glasses fluctuate, and respond to external perturbations, primarily by changing the pace of their evolution. Remarkably, the same situation also appears in toy models of quantum field…

High Energy Physics - Theory · Physics 2024-01-09 Jorge Kurchan

We develop a conceptual parallel between the black hole information problem and Zeno's paradox, highlighting the role of limiting procedures that turn formally infinite constructions into finite physical observables. Building on the…

High Energy Physics - Theory · Physics 2025-11-14 Xian-Hui Ge

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.…

Strongly Correlated Electrons · Physics 2024-12-13 Han-yuan Zuo , Zheng-xin Liu

We formulate a version of the information paradox in de Sitter spacetime and show that it is solved by the emergence of entanglement islands in the context of the DS/dS correspondence; in particular, the entanglement entropy of a subregion…

High Energy Physics - Theory · Physics 2021-06-09 Hao Geng , Yasunori Nomura , Hao-Yu Sun

The Karch-Randall braneworld provides a natural set-up to study the Hawking radiation from a black hole using holographic tools. Such a black hole lives on a brane and is highly quantum yet has a holographic dual as a higher dimensional…

High Energy Physics - Theory · Physics 2024-06-06 Hao Geng

Recently, the steady states of non-unitary free fermion dynamics are found to exhibit novel critical phases with power-law squared correlations and a logarithmic subsystem entanglement. In this work, we theoretically understand the…

Strongly Correlated Electrons · Physics 2021-11-17 Pengfei Zhang , Shao-Kai Jian , Chunxiao Liu , Xiao Chen
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