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These are lecture notes based on a series of lectures presented at the XIII Modave Summer School in Mathematical physics aimed at PhD students and young postdocs. The goal is to give an introduction to some of the recent developments in…

High Energy Physics - Theory · Physics 2019-02-18 Gábor Sárosi

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

The Sachdev-Ye-Kitaev (SYK) model, has emerged as a powerful tool for exploring the quantum nature of black holes, particularly their residual entropy at zero temperature. In this work, we investigate the role of long-range interactions in…

Strongly Correlated Electrons · Physics 2024-12-11 Andrea Solfanelli , Francesco Petocchi , Nicolò Defenu

We investigate the evolution of entanglement within an open, strongly coupled system interacting with a heat bath as its environment, in the frameworks of both the doubly holographic model and the Sachdev-Ye-Kitaev (SYK) model. Generally,…

High Energy Physics - Theory · Physics 2024-08-13 Yuxuan Liu , Shao-Kai Jian , Yi Ling , Zhuo-Yu Xian

The Sachdev--Ye--Kitaev (SYK) model is a paradigm for extreme quantum chaos, non-Fermi-liquid behavior, and holographic matter. Yet, the dense random all-to-all interactions that characterize it are an extreme challenge for realistic…

The eigenstate thermalization hypothesis (ETH) explains how closed unitary quantum systems can exhibit thermal behavior in pure states. In this work we examine a recently proposed microscopic model of a black hole in AdS$_2$, the so-called…

High Energy Physics - Theory · Physics 2018-02-01 Julian Sonner , Manuel Vielma

Periodically driven quantum matter can realize exotic dynamical phases. In order to understand how ubiquitous and robust these phases are, it is pertinent to investigate the heating dynamics of generic interacting quantum systems. Here we…

Strongly Correlated Electrons · Physics 2020-03-31 Clemens Kuhlenkamp , Michael Knap

The thermodynamic behaviours of multi-horizon black holes such as a Schwarzschild-de Sitter black hole have been one of the long-standing mysteries in gravitational physics since they involve quantum natures in gravitational systems and…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Ratchaphat Nakarachinda , Lunchakorn Tannukij , Pitayuth Wongjun , Tanapat Deesuwan

Some deep conjectures about quantum gravity are closely related to the role of symmetries in the gravitational background, especially for quantum black holes. In this paper, we systematically study the theory of quantum information for a…

Quantum Physics · Physics 2020-11-03 Junyu Liu

We study various aspects of the mass deformed SYK model which can escape the interiors of pure boundary state black holes. SYK boundary states are given by a simple local boundary condition on the Majorana fermions and then evolved in…

High Energy Physics - Theory · Physics 2020-10-20 Tomoki Nosaka , Tokiro Numasawa

Strongly correlated metals comprise an enduring puzzle at the heart of condensed matter physics. Commonly a highly renormalized heavy Fermi liquid occurs below a small coherence scale, while at higher temperatures a broad incoherent regime…

Strongly Correlated Electrons · Physics 2017-11-29 Xue-Yang Song , Chao-Ming Jian , Leon Balents

Understanding the emergence of complex correlations in strongly interacting systems remains a fundamental challenge in quantum many-body physics. One fruitful approach is to develop solvable toy models that encapsulate universal properties…

Quantum Physics · Physics 2026-01-26 Ning Sun , Peng Zhang , Pengfei Zhang

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

A celebrated realization of the holographic principle posits an approximate duality between the $(0+1)$-dimensional quantum mechanical SYK model and two-dimensional Jackiw-Teitelboim gravity, mediated by the Schwarzian action as an…

High Energy Physics - Theory · Physics 2025-06-26 Alexander Altland , Dmitry Bagrets , Nele Callebaut , Konstantin Weisenberger

I review some of the concepts at the crossroads of gravitational thermodynamics, holography and quantum mechanics. First, the origin of gravitational thermodynamics due to coarse graining of quantum information is exemplified using the…

High Energy Physics - Theory · Physics 2011-08-02 Joan Simon

We establish a new tool for studying strongly coupled matter: an effective theory of black holes in gravity, which maps to a hydrodynamic description of field theories via the gauge-gravity duality. Our approach is inspired by previously…

High Energy Physics - Theory · Physics 2024-05-29 Matti Jarvinen , Dorin Weissman

Superconductivity is abundant near quantum-critical points, where fluctuations suppress the formation of Fermi liquid quasiparticles and the BCS theory no longer applies. Two very distinct approaches have been developed to address this…

Strongly Correlated Electrons · Physics 2022-06-02 Gian Andrea Inkof , Koenraad Schalm , Jörg Schmalian

I give a critical review of the holographic hypothesis, which posits that a universe with gravity can be described by a quantum field theory in fewer dimensions. I first recall how the idea originated from considerations on black hole…

General Relativity and Quantum Cosmology · Physics 2016-03-18 Jean-Pierre Luminet

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 reformulate the quantum black hole portrait in the language of modern condensed matter physics. We show that black holes can be understood as a graviton Bose-Einstein condensate at the critical point of a quantum phase transition,…

High Energy Physics - Theory · Physics 2012-07-18 Gia Dvali , Cesar Gomez