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The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. In this work, we study the thermal R\'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$…

Strongly Correlated Electrons · Physics 2020-07-01 Pengfei Zhang , Chunxiao Liu , Xiao Chen

We study the SYK model -- an important toy model for quantum gravity on IBM's superconducting qubit quantum computers. By using a graph-coloring algorithm to minimize the number of commuting clusters of terms in the qubitized Hamiltonian,…

Quantum Physics · Physics 2024-05-03 Muhammad Asaduzzaman , Raghav G. Jha , Bharath Sambasivam

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…

Quantum Physics · Physics 2026-05-14 Sagar Dubey

We discuss some implications of recent progress in understanding the black hole information paradox for complementarity in de Sitter space. Extending recent work by two of the authors, we describe a bulk procedure that allows information…

High Energy Physics - Theory · Physics 2021-11-17 Lars Aalsma , Alex Cole , Edward Morvan , Jan Pieter van der Schaar , Gary Shiu

In this paper, we study the entanglement entropy between two SYK systems with bilinear coupling. We use the replica trick to calculate the entanglement entropy in the ground state. In parallel, we calculate the entanglement entropy through…

High Energy Physics - Theory · Physics 2019-07-24 Yiming Chen , Pengfei Zhang

We study properties of the Petz recovery map in chaotic systems, such as the Hayden-Preskill setup for evaporating black holes and the SYK model. Since these systems exhibit the phenomenon called scrambling, we expect that the expression of…

High Energy Physics - Theory · Physics 2023-10-31 Yasuaki Nakayama , Akihiro Miyata , Tomonori Ugajin

We discuss generalizations of the TFD to a density matrix on the doubled Hilbert space. We suggest that a semiclassical wormhole corresponds to a certain class of such density matrices, and specify how they are constructed. Different…

High Energy Physics - Theory · Physics 2022-08-24 Micha Berkooz , Nadav Brukner , Simon F. Ross , Masataka Watanabe

We investigate the classical Renyi entropy S_n and the associated mutual information I_n in the Sherrington-Kirkpatrick (S-K) model, which is the paradigm model of mean-field spin glasses. Using classical Monte Carlo simulations and…

Statistical Mechanics · Physics 2016-04-26 Vincenzo Alba , Stephen Inglis , Lode Pollet

The Sachdev-Ye-Kitaev (SYK) model is a concrete solvable model to study non-Fermi liquid properties, holographic duality and maximally chaotic behavior. In this work, we consider a generalization of the SYK model that contains two SYK…

Strongly Correlated Electrons · Physics 2017-11-22 Xin Chen , Ruihua Fan , Yiming Chen , Hui Zhai , Pengfei Zhang

Quantum effects can stabilize wormhole solutions in general relativity, allowing information and matter to be transported between two connected spacetimes. Here we study the revival dynamics of signals sent between two weakly coupled…

Strongly Correlated Electrons · Physics 2020-07-01 Stephan Plugge , Étienne Lantagne-Hurtubise , Marcel Franz

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 review our recent work [arXiv:2009.10759] where we studied the chaotic property of the two coupled Sachdev-Ye-Kitaev systems exhibiting a Hawking-Page like phase transition. By computing the out-of-time-ordered correlator in the large N…

High Energy Physics - Theory · Physics 2020-12-22 Tomoki Nosaka

Many aspects of many-body localization (MBL) transitions remain elusive so far. Here, we propose a higher-dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model and show that it exhibits a MBL transition. The model on a bipartite…

Strongly Correlated Electrons · Physics 2017-11-17 Shao-Kai Jian , Hong Yao

The black hole information puzzle arises from a discrepancy between conclusions drawn from general relativity and quantum theory about the nature of the radiation emitted by a black hole. According to Hawking's original argument, the…

High Energy Physics - Theory · Physics 2021-12-24 Renato Renner , Jinzhao Wang

In this work, we study the information scrambling and the entanglement dynamics in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their dependence on the charge density $n$. We first derive the effective theory for…

Strongly Correlated Electrons · Physics 2023-05-15 Pengfei Zhang

We investigate the non-equilibrium dynamics of a resonant level model coupled to a strongly interacting electron bath modeled by a Sachdev-Ye-Kitaev (SYK) model. Different from the well-investigated case of a structureless non-interacting…

Strongly Correlated Electrons · Physics 2026-03-27 Anastasia Enckell , Stefan Kehrein

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

It has been known that the large-$q$ complex SYK model falls under the same universality class as that of van der Waals (mean-field) and saturates the Maldacena-Shenker-Stanford bound, both features shared by various black holes. This makes…

High Energy Physics - Theory · Physics 2024-09-20 Jan C. Louw , Linda M. van Manen , Rishabh Jha

Many key features of the higher-dimensional Sachdev-Ye-Kitaev (SYK) model at {\it finite} $N$ remain unknown. Here we study the SYK chain consisting of $N$ ($N$$\ge$$2$) fermions per site with random interactions and hoppings between…

Strongly Correlated Electrons · Physics 2020-06-16 Xin Dai , Shao-Kai Jian , Hong Yao

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