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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…

高能物理 - 理论 · 物理学 2017-10-11 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

We study the non-equilibrium dynamics of a one-dimensional complex Sachdev-Ye-Kitaev chain by directly solving for the steady state Green's functions in terms of small perturbations around their equilibrium values. The model exhibits…

强关联电子 · 物理学 2022-07-13 Cristian Zanoci , Brian Swingle

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…

We investigate a bosonic variant of the Sachdev-Ye-Kitaev (SYK) model coupled to a Lindbladian environment, focusing on the interplay between quantum many-body dynamics and dissipation. Using the Schwinger-Keldysh path integral formalism in…

量子物理 · 物理学 2025-08-08 Yifei Liu , Anish Kulkarni , Shinsei Ryu

The short time (large energy) behavior of the Sachdev-Ye-Kitaev model (SYK) is one of the main motivation to the growing interest garnered by this model. True chaotic behaviour sets in at the Thouless time, which can be extracted from the…

无序系统与神经网络 · 物理学 2023-02-08 Richard Berkovits

We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev model. These are quantum mechanical models involving $N$ Majorana fermions. The supercharge is given by a polynomial expression in terms of the Majorana fermions with…

高能物理 - 理论 · 物理学 2021-01-13 Wenbo Fu , Davide Gaiotto , Juan Maldacena , Subir Sachdev

We study the SYK model with complex fermions, in the presence of an all-to-all $q$-body interaction, with a non-vanishing chemical potential. We find that, in the large $q$ limit, this model can be solved exactly and the corresponding…

高能物理 - 理论 · 物理学 2018-01-17 Ritabrata Bhattacharya , Subhroneel Chakrabarti , Dileep P. Jatkar , Arnab Kundu

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…

介观与纳米尺度物理 · 物理学 2026-04-02 Andrei I. Pavlov , Mikhail N. Kiselev

We investigate a model closely related to both the original Sachdev-Ye-Kitaev (SYK) model and the $\mathcal{N}=1$ supersymmetric SYK model. It consists of $N$ real Majorana fermions and $M$ auxiliary bosons with Yukawa interactions. We…

高能物理 - 理论 · 物理学 2019-02-20 Eric Marcus , Stefan Vandoren

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

Some generalizations of the Sachdev-Ye-Kitaev (SYK) model and different patterns of their reparametrization symmetry breaking are discussed. The analysis of such (pseudo)holographic systems relates their generalized one-dimensional…

高能物理 - 理论 · 物理学 2023-11-17 D. V. Khveshchenko

We introduce a spinful variant of the Sachdev-Ye-Kitaev model with an effective time reversal symmetry, which can be solved exactly in the limit of a large number $N$ of degrees of freedom. At low temperature, its phase diagram includes a…

强关联电子 · 物理学 2021-07-28 Étienne Lantagne-Hurtubise , Vedangi Pathak , Sharmistha Sahoo , Marcel Franz

We construct a sign-problem free variant of the complex Sachdev-Ye-Kitaev (SYK) model which keeps all the essential properties of the SYK model, including the analytic solvability in the large-$N$ limit and being maximally chaotic. In…

强关联电子 · 物理学 2022-01-26 Byungmin Kang , Junggi Yoon

The Sachdev-Ye-Kitaev (SYK) model describes interacting fermionic zero modes in zero spatial dimensions, e.g. quantum dot, with interactions strong enough to completely washout quasiparticle excitations in the infrared. In this paper, we…

强关联电子 · 物理学 2021-09-21 Y. Cheipesh , A. I. Pavlov , V. Ohanesjan , K. Schalm , N. V. Gnezdilov

We investigate the spectral form factor of the sparse Sachdev-Ye-Kitaev model. We use numerical methods to establish that at intermediate times the connected part of the spectral form factor is the dominant one. These connected…

高能物理 - 理论 · 物理学 2022-08-25 Elena Cáceres , Anderson Misobuchi , Amir Raz

We make lattice generalization of two well-known zero-dimensional models of quantum spin glass, Sachdev-Ye (SY) and spherical quantum $p$-spin glass model, to one dimension for studying crossovers in non-local scrambling dynamics due to…

无序系统与神经网络 · 物理学 2024-10-08 Venkata Lokesh K. Y , Surajit Bera , Sumilan Banerjee

The traversable wormhole protocol in coupled Sachdev-Ye-Kitaev (SYK) systems produces a transmission signal C(t) widely interpreted as evidence of holographic dynamics. Recent work has questioned this interpretation, showing that similar…

量子物理 · 物理学 2026-05-14 Sagar Dubey

Entanglement is one of the most important concepts in quantum physics. We review recent progress in understanding the quantum entanglement in many-body systems using large-$N$ solvable models: the Sachdev-Ye-Kitaev (SYK) model and its…

强关联电子 · 物理学 2022-03-04 Pengfei Zhang

We model SYK (Sachdev-Ye-Kitaev) interactions in disordered graphene flakes up to 300 000 atoms ($\sim$100 nm in diameter) subjected to an out-of-plane magnetic field $B$ of 5-20 Tesla within the tight-binding formalism. We investigate two…

强关联电子 · 物理学 2023-07-20 Marta Brzezinska , Yifei Guan , Oleg V. Yazyev , Subir Sachdev , Alexander Kruchkov

The Sachdev-Ye-Kitaev model (SYK) is renowned for its short-time chaotic behavior, which plays a fundamental role in its application to various fields such as quantum gravity and holography. The Thouless energy, representing the energy…

强关联电子 · 物理学 2024-01-17 Richard Berkovits