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Information scrambling, the process by which quantum information spreads and becomes effectively inaccessible, is central to modern quantum statistical physics and quantum chaos. These lecture notes provide an introduction to information…

Quantum Physics · Physics 2025-11-19 Marcin Płodzień

Information scrambling refers to the propagation of information throughout a quantum system. Its study not only contributes to our understanding of thermalization but also has wide implications in quantum information and black hole physics.…

Quantum Physics · Physics 2023-06-12 Zeyu Liu , Pengfei Zhang

Fast scramblers are dynamical quantum systems that produce many-body entanglement on a timescale that grows logarithmically with the system size $N$. We propose and investigate a family of deterministic, fast scrambling quantum circuits…

Quantum Physics · Physics 2022-02-24 Tomohiro Hashizume , Gregory Bentsen , Sebastian Weber , Andrew J. Daley

A possible solution of the information paradox can be sought in quantum information scrambling. In this paradigm, it is postulated that all information entering a black hole is rapidly and chaotically distributed across the event horizon…

Quantum Physics · Physics 2021-01-20 Akram Touil , Sebastian Deffner

The fine grained energy spectrum of quantum chaotic systems is widely believed to be described by random matrix statistics. A basic scale in such a system is the energy range over which this behavior persists. We define the corresponding…

High Energy Physics - Theory · Physics 2019-02-11 Hrant Gharibyan , Masanori Hanada , Stephen H. Shenker , Masaki Tezuka

The statistical entropy of black holes in M-theory is considered. Assuming Matrix theory is the discretized light-cone quantization of a theory with eleven-dimensional Lorentz invariance, we map the counting problem onto the original…

High Energy Physics - Theory · Physics 2009-10-31 David A. Lowe

Quantum aspects of black holes represent an important testing ground for a theory of quantum gravity. The recent success of string theory in reproducing the Bekenstein-Hawking black hole entropy formula provides a link between general…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Ramzi R. Khuri

The issue of a possible damping of the entropy periodicity for large black holes in Loop Quantum Gravity is highly debated. Using a combinatorics/analysis approach, we give strong arguments in favor of this damping, at least for…

General Relativity and Quantum Cosmology · Physics 2011-11-09 Xiangyu Cao , Aurelien Barrau

We argue that the scrambling time is the same, up to a numerical factor in three or more spacetime dimensions, as the time for the atmosphere to fall across the horizon or escape, to be replaced by new atmosphere. We propose that these…

High Energy Physics - Theory · Physics 2021-11-02 Ted Jacobson , Phuc Nguyen

It is shown that the fast scrambling of information in a black hole can be viewed as Brownian motion of information in a fluid with negative viscosity (and negative temperature). It is argued that a non-local character of the fast…

General Relativity and Quantum Cosmology · Physics 2017-04-17 Kostiantyn Ropotenko

The notion of information scrambling is tied to the long-time behaviour of a system and therefore is related to its infra-red dynamics. In fast scramblers, information spreads as a logarithmic function of the number of degrees of freedom.…

High Energy Physics - Theory · Physics 2020-06-22 Arnab Kundu

We provide evidence that strong quantum entanglement between Hilbert spaces does not generically create semiclassical wormholes between the corresponding geometric regions in the context of the AdS/CFT correspondence. We propose a…

High Energy Physics - Theory · Physics 2015-06-19 Vijay Balasubramanian , Micha Berkooz , Simon F. Ross , Joan Simon

It has recently been suggested that black holes may be described as condensates of weakly interacting gravitons at a critical point, exhibiting strong quantum effects. In this paper, we study a model system of attractive bosons in one…

High Energy Physics - Theory · Physics 2013-04-10 D. Flassig , A. Pritzel , N. Wintergerst

In some respects the black hole plays the same role in gravitation that the atom played in the nascent quantum mechanics. This analogy suggests that black hole mass $M$ might have a discrete spectrum. I review the physical arguments for the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

We found black hole evolution on a quantum-gravitational scattering framework with an aim to tackle the black hole information paradox. With this setup, various pieces of the system information are explicit from the start and unitary…

High Energy Physics - Theory · Physics 2021-11-12 I. Y. Park

We use the formalisms of Holographic Space-time (HST) and Matrix Theory[11] to investigate the claim of [1] that old black holes contain a firewall, i.e. an in-falling detector encounters highly excited states at a time much shorter than…

High Energy Physics - Theory · Physics 2013-05-20 T. Banks , W. Fischler

Quantum scrambling is the dispersal of local information into many-body quantum entanglements and correlations distributed throughout the entire system. This concept underlies the dynamics of thermalization in closed quantum systems, and…

Entropy plays a crucial role in characterization of information and entanglement, but it is not a scalar quantity and for many systems it is different for different relativistic observers. Loop quantum gravity predicts the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Daniel R. Terno

We report the existence of novel static spherical black-hole solutions in a vector-tensor gravitational theory called the bumblebee gravity model which extends the Einstein-Maxwell theory by allowing the vector to nonminimally couple to the…

General Relativity and Quantum Cosmology · Physics 2023-03-20 Rui Xu , Dicong Liang , Lijing Shao

Quantum computers are emerging technologies expected to become important tools for exploring various aspects of fundamental physics in the future. Therefore, we pose the question of whether quantum computers can help us to study the Page…

Quantum Physics · Physics 2025-09-19 Talal Ahmed Chowdhury , Kwangmin Yu , Muhammad Asaduzzaman , Raza Sabbir Sufian