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Holographic quantum matter exhibits an intriguing connection between quantum black holes and more conventional (albeit strongly interacting) quantum many-body systems. This connection is manifested in the study of their…

Strongly Correlated Electrons · Physics 2018-08-03 M. Franz , M. Rozali

We discuss higher dimensional generalizations of the 0+1-dimensional Sachdev-Ye-Kitaev (SYK) model that has recently become the focus of intensive interdisciplinary studies by, both, the condensed matter and field-theoretical communities.…

Strongly Correlated Electrons · Physics 2018-08-01 D. V. Khveshchenko

We suggest that the holographic principle, combined with recent technological advances in atomic, molecular, and optical physics, can lead to experimental studies of quantum gravity. As a specific example, we consider the Sachdev-Ye-Kitaev…

Quantum Gases · Physics 2017-09-07 Ippei Danshita , Masanori Hanada , Masaki Tezuka

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

The Sachdev-Ye-Kitaev (SYK) model provides an analytically tractable framework for exotic strongly correlated phases where conventional paradigms like Landau's Fermi liquid theory collapse. This review offers a pedagogical introduction to…

High Energy Physics - Theory · Physics 2025-07-16 Rishabh Jha

We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete…

Disordered Systems and Neural Networks · Physics 2020-09-07 Ye Cao , Yi-Neng Zhou , Ting-Ting Shi , Wei Zhang

A class of tensor models were recently outlined as potentially calculable examples of holography: their perturbative large-$N$ behavior is similar to the Sachdev-Ye-Kitaev (SYK) model, but they are fully quantum mechanical (in the sense…

High Energy Physics - Theory · Physics 2017-05-04 Chethan Krishnan , Sambuddha Sanyal , P. N. Bala Subramanian

The SYK model consists of $N\gg 1$ fermions in $0+1$ dimensions with a random, all-to-all quartic interaction. Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography. We solve the…

High Energy Physics - Theory · Physics 2016-05-04 Joseph Polchinski , Vladimir Rosenhaus

We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of fermions with a conserved fermion number, $\mathcal{Q}$. We extend a previously proposed Schwarzian effective action to include a phase field, and this…

Strongly Correlated Electrons · Physics 2017-04-26 Richard A. Davison , Wenbo Fu , Antoine Georges , Yingfei Gu , Kristan Jensen , Subir Sachdev

The Sachdev-Ye-Kitaev (SYK) model provides an uncommon example of a chaotic theory that can be analysed analytically. In the deep infrared limit, the original model has an emergent conformal (reparametrisation) symmetry that is broken both…

High Energy Physics - Theory · Physics 2019-10-23 Pranjal Nayak , Julian Sonner , Manuel Vielma

The Sachdev-Ye-Kitaev (SYK) model is a system of $N$ Majorana fermions with random interactions and strongly chaotic dynamics, which at low energy admits a holographically dual description as two-dimensional Jackiw-Teitelboim gravity. Hence…

High Energy Physics - Theory · Physics 2024-10-01 Patrick Orman , Hrant Gharibyan , John Preskill

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

The identification, description, and classification of topological features is an engine of discovery and innovation in several fields of physics. This research encompasses a broad variety of systems, from the integer and fractional Chern…

Strongly Correlated Electrons · Physics 2025-02-04 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Can Yin

This note discusses examples of 0+1-dimensional Liouvillean dynamics instigated by the various deformations of the Sachdev-Ye-Kitaev (SYK) model. In reference to such deformations the main focus is on the regions of parameter space where…

Strongly Correlated Electrons · Physics 2023-11-17 D. V. Khveshchenko

We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The…

Strongly Correlated Electrons · Physics 2022-12-06 Debanjan Chowdhury , Antoine Georges , Olivier Parcollet , Subir Sachdev

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 show that the low temperature phase of a conjugate pair of uncoupled, quantum chaotic, nonhermitian systems such as the Sachdev-Ye-Kitaev (SYK) model or the Ginibre ensemble of random matrices are dominated by replica symmetry breaking…

High Energy Physics - Theory · Physics 2021-02-22 Antonio M. García-García , Yiyang Jia , Dario Rosa , Jacobus J. M. Verbaarschot

We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and other $p$-local quantum mechanical random Hamiltonians. These models exhibit an expansion using chord diagrams, which can be solved by combinatorial methods.…

High Energy Physics - Theory · Physics 2024-11-28 Micha Berkooz , Ohad Mamroud

We review the fast developing subject of tensor models for the NAdS$_2$/NCFT$_1$ holographic correspondence. We include a brief review of the Sachdev-Ye-Kitaev (SYK) model and then focus on the associated quantum mechanical tensor models…

High Energy Physics - Theory · Physics 2018-09-27 Nicolas Delporte , Vincent Rivasseau

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…

Quantum Physics · Physics 2025-08-08 Yifei Liu , Anish Kulkarni , Shinsei Ryu
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