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We discuss a 1+1 dimensional generalization of the Sachdev-Ye-Kitaev model. The model contains $N$ Majorana fermions at each lattice site with a nearest-neighbour hopping term. The SYK random interaction is restricted to low momentum…

High Energy Physics - Theory · Physics 2017-03-08 Micha Berkooz , Prithvi Narayan , Moshe Rozali , Joan Simón

The SYK model proposed by Sachdev, Ye, and Kitaev consists of Majorana fermions that interact randomly four at a time. The model develops a dense spectrum above the ground state, due to which the model becomes nearly conformal. This…

High Energy Physics - Theory · Physics 2018-11-19 Jaewon Kim

The Sachdev-Ye-Kitaev (SYK) model is a quantum mechanical model of fermions interacting with $q$-body random couplings. For $q=2$, it describes free particles, and is non-chaotic in the many-body sense, while for $q>2$ it is strongly…

Strongly Correlated Electrons · Physics 2018-07-19 Chunxiao Liu , Xiao Chen , Leon Balents

According to holography, entanglement is the building block of spacetime; therefore, drastic changes of entanglement will lead to interesting transitions in the dual spacetime. In this paper, we study the effect of projective measurements…

High Energy Physics - Theory · Physics 2023-03-01 Stefano Antonini , Brianna Grado-White , Shao-Kai Jian , Brian Swingle

We show that strong quantum entanglement can support a stable traversable wormhole without any explicit interaction or tunnelling term between the two boundary theories of the wormhole. Specifically we work with two complex SYK models. The…

High Energy Physics - Theory · Physics 2020-07-15 Nilakash Sorokhaibam

This study explores the intricate real-time dynamics of a non-Hermitian system composed of two interconnected Sachdev-Ye-Kitaev (SYK) models. A central finding reveals that an excitation initially localized in the right SYK subsystem can be…

High Energy Physics - Theory · Physics 2024-08-27 Sizheng Cao , Xian-Hui Ge

The Sachdev-Ye-Kitaev (SYK) model describes electrons with random and all-to-all interactions, and realizes a many-body state without quasiparticle excitations, and a non-vanishing extensive entropy $S_0$ in the zero temperature limit. Its…

Strongly Correlated Electrons · Physics 2020-07-01 Alexander Kruchkov , Aavishkar Patel , Philip Kim , Subir Sachdev

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

We propose a low energy model for simulating an analog black hole on an optical lattice using ultracold atoms. Assuming the validity of the holographic principle, we employ the Sachdev-Ye-Kitaev (SYK) model, which describes a system of…

General Physics · Physics 2025-08-25 Iftekher S. Chowdhury , Binay Prakash Akhouri , Shah Haque , Martin H. Bacci , Eric Howard

We study the spread of R\'enyi entropy between two halves of a Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield double (TFD) state. The SYK chain model is a model of chaotic many-body systems, which describes a…

High Energy Physics - Theory · Physics 2017-09-29 Yingfei Gu , Andrew Lucas , Xiao-Liang Qi

Quantum error correction (QEC) codes are fundamentally linked to quantum phases of matter: the degenerate ground state manifold corresponds to the code space, while topological excitations represent error syndromes. Building on this…

Quantum Physics · Physics 2024-11-01 Jaewon Kim , Ehud Altman , Jong Yeon Lee

Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior is expected to occur under certain…

Strongly Correlated Electrons · Physics 2018-06-18 Étienne Lantagne-Hurtubise , Chengshu Li , Marcel Franz

We analyse a class of SYK models whose Hamiltonian is the sum of two SYK Hamiltonians with different numbers of fermions $q, \tilde q$ in each interaction. We consider both Euclidean and Lorentzian probes of the quantum system in the large…

High Energy Physics - Theory · Physics 2026-01-26 Weam Abou Hamdan , Damián A. Galante

Holography-inspired teleportation has recently emerged as a significant area of research in quantum many-body systems. In this work, we investigate the effects of $\mathcal{PT}$ symmetric non-unitary deformations on the traversability of…

Quantum Physics · Physics 2026-01-27 Sudhanva Joshi , Sunil Kumar Mishra

The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled…

Disordered Systems and Neural Networks · Physics 2017-10-04 Aaron Chew , Andrew Essin , Jason Alicea

We study the generalization of the Sachdev-Ye-Kitaev (SYK) model to a $1+1$ dimensional chiral SYK model of $N$ flavors of right-moving chiral Majorana fermions with all-to-all random 4-fermion interactions. The interactions in this model…

High Energy Physics - Theory · Physics 2022-01-14 Biao Lian , S. L. Sondhi , Zhenbin Yang

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, a theory of N Majorana fermions with q-body interactions, becomes in the large q limit a conformally-broken Liouville field theory. Taking this limit preserves many interesting properties of the model, yet…

High Energy Physics - Theory · Physics 2020-03-18 Alexandre Streicher

We study some general properties of coupled quantum systems. We consider simple interactions between two copies of identical Hamiltonians such as the SYK model, Pauli spin chains with random magnetic field and harmonic oscillators. Such…

High Energy Physics - Theory · Physics 2021-03-10 Fabien Alet , Masanori Hanada , Antal Jevicki , Cheng Peng

We study the non-equilibrium dynamics of two coupled SYK models, conjectured to be holographically dual to an eternal traversable wormhole in AdS$_2$. We consider different periodic drivings of the parameters of the system. We analyze the…

High Energy Physics - Theory · Physics 2025-01-23 Martí Berenguer , Anshuman Dey , Javier Mas , Juan Santos-Suárez , Alfonso V. Ramallo