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A pair of identical Sachdev-Ye-Kitaev (SYK) models with bilinear coupling forms a quantum dual of a traversable wormhole, with a ground state close to the so called thermofield double state. We use adiabaticity arguments and numerical…

Strongly Correlated Electrons · Physics 2021-07-28 Rafael Haenel , Sharmistha Sahoo , Timothy H. Hsieh , Marcel Franz

We construct and study a chiral Sachdev-Ye (SY) model consisting of $N$ chiral SU$(M)_1$ Wess-Zumino-Witten (WZW) models with current-current interactions among each other, which generalizes the 0+1d quantum chaotic SY spin model into 1+1d…

Strongly Correlated Electrons · Physics 2022-03-11 Yichen Hu , Biao Lian

We explore computationally tractable deformations of the SYK model. The deformed theories are described by the sum of two SYK Hamiltonians with differing numbers, $q$ and $\tilde{q}$, of interacting fermions. In the large $N$ limit,…

High Energy Physics - Theory · Physics 2023-12-14 Dionysios Anninos , Damián A. Galante , Sameer U. Sheorey

In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show…

High Energy Physics - Theory · Physics 2021-04-28 Yuri D. Lensky , Xiao-Liang Qi

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

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

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

The sparse version of the Sachdev-Ye-Kitaev (SYK) model reproduces essential features of the original SYK model while reducing the number of disorder parameters. In this paper, we propose a further simplification of the model which we call…

Quantum Physics · Physics 2023-02-07 Masaki Tezuka , Onur Oktay , Enrico Rinaldi , Masanori Hanada , Franco Nori

We investigate the charged $q/2$-body interacting Sachdev-Ye-Kitaev (SYK) model in the grand-canonical ensemble. By treating $q$ as a large parameter, we are able to analytically study its phase diagram. By varying the chemical potential or…

Strongly Correlated Electrons · Physics 2023-02-14 Jan Louw , Stefan Kehrein

In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with $U(1)$ charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping…

High Energy Physics - Theory · Physics 2020-11-30 Pengfei Zhang

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

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

Estimating local observables in Gibbs states is a central problem in quantum simulation. While this task is BQP-complete at asymptotically low temperatures, the possibility of quantum advantage at constant temperature remains open. The…

Quantum Physics · Physics 2026-04-24 Alexander Zlokapa

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

We study a version of the 2-body Sachdev-Ye-Kitaev (SYK$_{2}$) model whose complex fermions exhibit twisted boundary conditions on the thermal circle. As we show, this is physically equivalent to coupling the fermions to a 1-dimensional…

High Energy Physics - Theory · Physics 2024-01-25 Jeff Murugan , Ruach Pillay Slayen , Hendrik J. R. Van Zyl

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…

High Energy Physics - Theory · Physics 2023-11-17 D. V. Khveshchenko

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 a class of SYK models with $\mathcal{N}=2$ supersymmetry, described by $N$ fermions in chiral Fermi multiplets, as well as $\alpha N$ first-order bosons in chiral multiplets. The interactions are characterized by two integers…

High Energy Physics - Theory · Physics 2025-09-23 Francesco Benini , Tomas Reis , Saman Soltani , Ziruo Zhang

We study the large $N$ saddle points of two SYK chains coupled by an interaction that is nonlocal in Euclidean time. We start from analytic treatment of the free case with $q=2$ and perform the numerical study of the interacting case $q=4$.…

High Energy Physics - Theory · Physics 2020-01-08 Irina Aref'eva , Mikhail Khramtsov , Igor Volovich

We study a large $N$ tensor model with $O(N)^3$ symmetry containing two flavors of Majorana fermions, $\psi_1^{abc}$ and $\psi_2^{abc}$. We also study its random counterpart consisting of two coupled Sachdev-Ye-Kitaev models, each one…

High Energy Physics - Theory · Physics 2019-06-05 Jaewon Kim , Igor R. Klebanov , Grigory Tarnopolsky , Wenli Zhao