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Related papers: Complexity in a moving mirror model

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We calculate the time evolution of entanglement entropy in two dimensional conformal field theory with a moving mirror. For a setup modeling Hawking radiation, we obtain a linear growth of entanglement entropy and show that this can be…

High Energy Physics - Theory · Physics 2021-02-17 Ibrahim Akal , Yuya Kusuki , Noburo Shiba , Tadashi Takayanagi , Zixia Wei

We systematically study moving mirror models in two-dimensional conformal field theory (CFT). By focusing on their late-time behavior, we separate the mirror profiles into four classes, named type A (timelike) mirrors, type B (escaping)…

High Energy Physics - Theory · Physics 2022-09-14 Ibrahim Akal , Taishi Kawamoto , Shan-Ming Ruan , Tadashi Takayanagi , Zixia Wei

Moving mirrors have been known as tractable setups modeling Hawking radiation from black holes. In this paper, motivated by recent developments regarding the black hole information problem, we present extensive studies of moving mirrors in…

High Energy Physics - Theory · Physics 2021-11-10 Ibrahim Akal , Yuya Kusuki , Noburo Shiba , Tadashi Takayanagi , Zixia Wei

In this paper, we study the fine structure of entanglement in holographic two-dimensional boundary conformal field theories (BCFT) in terms of the spatially resolved quasilocal extension of entanglement entropy - entanglement contour. We…

High Energy Physics - Theory · Physics 2022-03-23 Dmitry S. Ageev

We investigate the entanglement entropy and the information flow of two-dimensional moving mirrors. Here we point out that various mirror trajectories can help to mimic different candidate resolutions to the information loss paradox…

High Energy Physics - Theory · Physics 2017-07-25 Pisin Chen , Dong-han Yeom

The evolution of the Von Neumann entanglement entropy of a $n$-dimensional mirror influenced by the strongly coupled $d$-dimensional quantum critical fields with a dynamic exponent $z$ is studied by the holographic approach. The dual…

High Energy Physics - Theory · Physics 2019-07-24 Da-Shin Lee , Chen-Pin Yeh

Optical cavities with moving mirrors provide a versatile platform for exploring radiation-matter interactions and optically mediated mechanical effects, whose control has wide technological implications. However, capturing the coupled…

The effects of a boundary on the circuit complexity are studied in two dimensional theories. The analysis is performed in the holographic realization of a conformal field theory with a boundary by employing different proposals for the dual…

High Energy Physics - Theory · Physics 2021-04-15 Paolo Braccia , Aldo L. Cotrone , Erik Tonni

We consider the time evolution of entanglement in a finite two dimensional transverse Ising model. The model consists of a set of 7 localized spin-1/2 particles in a two dimensional triangular lattice coupled through nearest neighbor…

Quantum Physics · Physics 2015-03-18 Qing Xu , Gehad Sadiek , Sabre Kais

We investigate the time evolution of reflected entropy and entanglement negativity for mixed state configurations involving two adjacent and disjoint intervals in the radiation flux of moving mirrors by utilizing the $AdS/BCFT$ duality.…

High Energy Physics - Theory · Physics 2022-09-28 Jaydeep Kumar Basak , Debarshi Basu , Vinay Malvimat , Himanshu Parihar , Gautam Sengupta

We consider multiverse models in two-dimensional linear dilaton-gravity theories as toy models of false vacuum eternal inflation. Coupling conformal matter we calculate the Von Neumann entropy of subregions. When these are sufficiently…

We present the results of our computation of the subregion complexity and also compare it with the entanglement entropy of a $2+1$--dimensional holographic superconductor which has a fully backreacted gravity dual with a stable ground sate.…

High Energy Physics - Theory · Physics 2020-04-08 Avik Chakraborty

In order to study the pseudo entropy of time-like subregions holographically, the previous smooth space-like extremal surface was recently generalized to mix space-like and time-like segments and the area becomes complex value. This paper…

High Energy Physics - Theory · Physics 2023-04-06 Ze Li , Zi-Qing Xiao , Run-Qiu Yang

We study the evolution of holographic complexity of pure and mixed states in $1+1$-dimensional conformal field theory following a local quench using both the "complexity equals volume" (CV) and the "complexity equals action" (CA)…

High Energy Physics - Theory · Physics 2018-08-24 Dmitry S. Ageev , Irina Ya. Aref'eva , Andrey A. Bagrov , Mikhail I. Katsnelson

We study two recent conjectures for holographic complexity: the complexity=action conjecture and the complexity=volume conjecture. In particular, we examine the structure of the UV divergences appearing in these quantities, and show that…

High Energy Physics - Theory · Physics 2019-05-27 Dean Carmi , Robert C. Myers , Pratik Rath

We introduce and study the notion of a directional complexity and entropy for maps of degree 1 on the circle. For piecewise affine Markov maps we use symbolic dynamics to relate this complexity to the symbolic complexity. We apply a…

Dynamical Systems · Mathematics 2016-09-12 V. Afraimovich , M. Courbage , L. Glebsky

We study the unitary time evolution of the entropy of entanglement of a one-dimensional system between the degrees of freedom in an interval of length l and its complement, starting from a pure state which is not an eigenstate of the…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , John Cardy

We investigate the behavior of the entanglement entropy of a confining gauge theory near cosmological singularities using gauge/gravity duality. As expected, the coefficients of the UV divergent terms are given by simple geometric…

High Energy Physics - Theory · Physics 2017-07-26 Netta Engelhardt , Gary T. Horowitz

We compute the holographic subregion complexity of a radiation subsystem in a geometric secret-sharing model of Hawking radiation in the "complexity = volume" proposal. The model is constructed using multiboundary wormhole geometries in…

High Energy Physics - Theory · Physics 2021-12-15 Aranya Bhattacharya , Arpan Bhattacharyya , Pratik Nandy , Ayan K. Patra

We study the islands and the Page curve in the 1+1-dimensional eternal dilaton black hole models. Without islands, the entanglement entropy of the radiation grows linearly at late time. However with an island, its growth stops at the value…

High Energy Physics - Theory · Physics 2020-08-26 Takanori Anegawa , Norihiro Iizuka
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