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Related papers: Butterfly effect and $\textrm{T}\overline{\textrm{…

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We prove the equivalence of two holographic computations of the butterfly velocity in higher-derivative theories with Lagrangian built from arbitrary contractions of curvature tensors. The butterfly velocity characterizes the speed at which…

High Energy Physics - Theory · Physics 2022-10-19 Xi Dong , Diandian Wang , Wayne W. Weng , Chih-Hung Wu

We develop the holographic framework for the $\textrm{T}\overline{\textrm{T}}$ deformation of two-dimensional conformal field theories (CFT$_2$) with gravitational anomalies, characterized by unequal left and right central charges and…

High Energy Physics - Theory · Physics 2025-08-07 Debarshi Basu , Qiang Wen , Mingshuai Xu

Out-of-time-order correlators (OTOC) are considered to be a promising tool to characterize chaos in quantum systems. In this paper we study OTOC in XY model. With the presence of anisotropic parameter $\gamma$ and external magnetic field…

Statistical Mechanics · Physics 2020-08-26 Jiahui Bao , Cheng-Yong Zhang

The study of information scrambling has profoundly deepened our understanding of many-body quantum systems. Much recent research has been devote to understanding the interplay between scrambling and decoherence in open systems. Continuing…

Quantum Physics · Physics 2025-11-04 Emanuel Dallas , Faidon Andreadakis , Paolo Zanardi

Combining several results from the previous works of the author, three main subtleties will be clarified here. First, similar to the rotating BTZ black holes, we show how for the warped BTZ black holes, the consideration of the effective…

High Energy Physics - Theory · Physics 2024-09-10 Mahdis Ghodrati

Fractional statistics and quantum chaos are both phenomena associated with the non-local storage of quantum information. In this article, we point out a connection between the butterfly effect in (1+1)-dimensional rational conformal field…

High Energy Physics - Theory · Physics 2016-08-30 Yingfei Gu , Xiao-Liang Qi

We present a systematic analysis of pole-skipping for scalar, Maxwell, and gravitational waves in cosmological spacetimes. Specifically, working in empty de Sitter space and in Schwarzschild-de Sitter black hole geometries, we locate the…

High Energy Physics - Theory · Physics 2025-09-11 Yongjun Ahn , Sašo Grozdanov , Hyun-Sik Jeong , Juan F. Pedraza

Previously, there existed no clear explanation why chaotic dynamics is always accompanied by the infinitely long memory of perturbations (and/or initial conditions) known as the butterfly effect (BE). In this paper, it is shown that within…

Chaotic Dynamics · Physics 2015-08-21 Igor V. Ovchinnikov

Out of time ordered correlators (OTOCs) are useful tools for investigating foundational questions such as thermalization in closed quantum systems because they can potentially distinguish between integrable and nonintegrable dynamics. Here…

Statistical Mechanics · Physics 2023-10-04 Jonathon Riddell , Wyatt Kirkby , D. H. J. O'Dell , Erik S. Sørensen

The butterfly velocity characterizes the spread of correlations in a quantum system. Recent work has provided a method of calculating the butterfly velocity of a class of boundary operators using holographic duality. Utilizing this and a…

High Energy Physics - Theory · Physics 2017-11-22 Yasunori Nomura , Nico Salzetta

The butterfly velocity of four-dimensional rotating charged asymptotically AdS black hole is calculated to probe chaos using localized rotating shock waves. In this work, we obtain the angular momentum dependence of the butterfly velocity…

High Energy Physics - Theory · Physics 2024-08-06 Hadyan Luthfan Prihadi , Freddy Permana Zen , Donny Dwiputra , Seramika Ariwahjoedi

We extend the Keldysh technique to enable the computation of out-of-time order correlators. We show that the behavior of these correlators is described by equations that display initially an exponential instability which is followed by a…

Statistical Mechanics · Physics 2016-12-21 Igor L. Aleiner , Lara Faoro , Lev B. Ioffe

In this work, we consider rotating BTZ black hole in three dimensions which is dual of one dimensional holographic superconductors. We applied higher order corrections of the entropy, which interpreted as quantum corrections, to the…

General Relativity and Quantum Cosmology · Physics 2018-01-17 B. Pourhassan , K. Kokabi

We revisit the construction of models of quantum gravity in d dimensional Minkowski space in terms of random tensor models, and correct some mistakes in our previous treatment of the subject. We find a large class of models in which the…

High Energy Physics - Theory · Physics 2024-08-26 Tom Banks , Willy Fischler

We compute out-of-time-order correlators (OTOCs) in two-dimensional holographic conformal field theories (CFTs) with different left- and right-moving temperatures. Depending on whether the CFT lives on a spatial line or circle, the dual…

High Energy Physics - Theory · Physics 2021-11-23 Ben Craps , Surbhi Khetrapal , Charles Rabideau

We find that localised perturbations in a chaotic classical many-body system-- the classical Heisenberg We find that the effects of a localised perturbation in a chaotic classical many-body system--the classical Heisenberg chain at infinite…

We study collisions between localized shockwaves inside a black hole interior. We give a holographic boundary description of this process in terms of the overlap of two growing perturbations in a shared quantum circuit. The perturbations…

High Energy Physics - Theory · Physics 2022-09-05 Felix M. Haehl , Ying Zhao

A global quench is an interesting setting where we can study thermalization of subsystems in a pure state. We investigate entanglement entropy (EE) growth in global quenches in holographic field theories and relate some of its aspects to…

High Energy Physics - Theory · Physics 2018-03-29 Márk Mezei

We argue for an exponential bound characterizing the chaotic properties of modular Hamiltonian flow of QFT subsystems. In holographic theories, maximal modular chaos is reflected in the local Poincare symmetry about a Ryu-Takayanagi…

High Energy Physics - Theory · Physics 2020-06-24 Jan de Boer , Lampros Lamprou

We argue that the gravitational shock wave computation used to extract the scrambling rate in strongly coupled quantum theories with a holographic dual is directly related to probing the system's hydrodynamic sound modes. The information…

High Energy Physics - Theory · Physics 2018-11-28 Sašo Grozdanov , Koenraad Schalm , Vincenzo Scopelliti