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We investigate the butterfly effect and charge diffusion near the quantum phase transition in holographic approach. We argue that their criticality is controlled by the holographic scaling geometry with deformations induced by a relevant…

High Energy Physics - Theory · Physics 2017-09-06 Yi Ling , Zhuo-Yu Xian

In this note we remark that the butterfly effect can be used to diagnose the phase transition of superconductivity in a holographic framework. Specifically, we compute the butterfly velocity in a charged black hole background as well as…

High Energy Physics - Theory · Physics 2017-03-20 Yi Ling , Peng Liu , Jian-Pin Wu

We study an anisotropic holographic bottom-up model displaying a quantum phase transition (QPT) between a topologically trivial insulator and a non-trivial Weyl semimetal phase. We analyze the properties of quantum chaos in the quantum…

High Energy Physics - Theory · Physics 2018-07-11 Matteo Baggioli , Bikash Padhi , Philip W. Phillips , Chandan Setty

In this paper, we make a systematical and in-depth exploration on the phase structure and the behaviors of butterfly velocity in an Einstein-Maxwell-dilaton-axions (EMDA) model. Depending on the model parameter, there are two kinds of…

High Energy Physics - Theory · Physics 2022-05-03 Guoyang Fu , Xi-Jing Wang , Peng Liu , Dan Zhang , Xiao-Mei Kuang , Jian-Pin Wu

We study the butterfly effect and pole-skipping phenomenon for the 1RCBH model which enjoys a critical point in its phase diagram. Using the holographic idea, we compute the butterfly velocity and interestingly find that this velocity can…

High Energy Physics - Theory · Physics 2023-07-11 B. Amrahi , M. Asadi , F. Taghinavaz

In this work, we study quantum chaos in a variety of holographic QCD models at finite temperature and chemical potentials. This includes the 1 R-Charge black hole (1RCBH) model, the 2 R-Charge black hole (2RCBH) model, a potential…

High Energy Physics - Theory · Physics 2025-08-20 Nikesh Lilani , Dilpreet Sandhu , Subhash Mahapatra

The black hole butterfly effect is a signal of quantum chaos in holographic theories that can be probed in different ways, including out-of-time-order correlators (OTOCs), pole skipping (PS), and entanglement wedge (EW) reconstruction. Each…

High Energy Physics - Theory · Physics 2025-04-14 Wan Zhen Chua , Thomas Hartman , Wayne W. Weng

The behaviour of a chaotic system and its effect on existing quantum correlation has been holographically studied in presence of non-conformality. Keeping in mind the gauge/gravity duality framework, the non-conformality in the dual field…

High Energy Physics - Theory · Physics 2024-07-29 Ashis Saha , Sunandan Gangopadhyay

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

We study quantum chaos in $\textrm{T}\overline{\textrm{T}}$-deformed two-dimensional conformal field theories with gravitational anomaly and their holographic dual description in topologically massive gravity. Using pole-skipping and…

High Energy Physics - Theory · Physics 2026-05-14 Debarshi Basu , Mingshuai Xu

In this Letter, we bring together two topics in the holographic correspondence - quantum chaos and quark-gluon plasma (QGP). We establish that the first relativistic correction to drag force experienced by a charge carrier moving through a…

High Energy Physics - Theory · Physics 2021-06-29 Dmitry S. Ageev

These notes present a comprehensive analysis of shockwave geometries in holographic settings, focusing on $\textrm{T}\overline{\textrm{T}}$-deformed BTZ black holes and their extensions. By constructing deformed metrics and employing…

High Energy Physics - Theory · Physics 2025-05-21 Debarshi Basu , Ashish Chandra , Qiang Wen

We propose that Hawking radiation-like phenomena may be observed in systems that show butterfly effects. Suppose that a classical dynamical system has a Lyapunov exponent $\lambda_L$, and is deterministic and non-thermal ($T=0$). We argue…

High Energy Physics - Theory · Physics 2021-01-08 Takeshi Morita

We investigate the shear viscosity and butterfly velocity of a magnetic field-induced quantum phase transition in five dimensional Einstein-Maxwell-Chern-Simons theory, which is holographically dual to a class of strongly coupled quantum…

High Energy Physics - Theory · Physics 2025-10-21 Jun-Kun Zhao , Li Li

The holographic system described by Einstein-Maxwell-Chern-Simons dynamics in the bulk of AdS exhibits a chiral magnetic effect and a quantum critical point. Through numerical calculations, we find that the butterfly velocity can serve as a…

High Energy Physics - Theory · Physics 2023-08-01 Navid Abbasi , Karl Landsteiner

In this paper we numerically calculate the out-of-time-order correlation functions in the one-dimensional Bose-Hubbard model. Our study is motivated by the conjecture that a system with Lyapunov exponent saturating the upper bound…

Quantum Gases · Physics 2017-08-21 Huitao Shen , Pengfei Zhang , Ruihua Fan , Hui Zhai

We study scrambling, an avatar of chaos, in a weakly interacting metal in the presence of random potential disorder. It is well known that charge and heat spread via diffusion in such an interacting disordered metal. In contrast, we show…

Strongly Correlated Electrons · Physics 2017-09-15 Aavishkar A. Patel , Debanjan Chowdhury , Subir Sachdev , Brian Swingle

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

We study the anisotropic properties of dynamical quantities: direct current (DC) conductivity, butterfly velocity, and charge diffusion. The anisotropy plays a crucial role in determining the phase structure of the two-lattice system. Even…

High Energy Physics - Theory · Physics 2022-02-18 Peng Liu , Jian-Pin Wu

Recent developments have indicated that in addition to out-of-time ordered correlation functions (OTOCs), quantum chaos also has a sharp manifestation in the thermal energy density two-point functions, at least for maximally chaotic…

High Energy Physics - Theory · Physics 2018-10-16 Mike Blake , Richard A. Davison , Sašo Grozdanov , Hong Liu
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