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We calculate the amount of entanglement shared by two intervals in the ground state of a (1+1)-dimensional conformal field theory (CFT), quantified by an entanglement measure $\mathcal{E}$ based on the computable cross norm (CCNR)…

Statistical Mechanics · Physics 2023-03-28 Chao Yin , Zhenhuan Liu

We study thermalization in the holographic (1+1)-dimensional CFT after simultaneous generation of two high-energy excitations in the antipodal points on the circle. The holographic picture of such quantum quench is the creation of BTZ black…

High Energy Physics - Theory · Physics 2017-10-11 Irina Ya. Aref'eva , Mikhail A. Khramtsov , Maria D. Tikhanovskaya

We investigate the robustness of the Araki-Lieb inequality in a two-dimensional (2D) conformal field theory (CFT) on torus. The inequality requires that $\Delta S=S(L)-|S(L-\ell)-S(\ell)|$ is nonnegative, where $S(L)$ is the thermal entropy…

High Energy Physics - Theory · Physics 2017-10-09 Bin Chen , Zhibin Li , Jia-ju Zhang

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

Strongly Correlated Electrons · Physics 2019-02-21 William Witczak-Krempa

Built on our observation that entangling surfaces of the boundary field theory are great co-dimension one spheres in the context of DS/dS correspondence, we study some information theoretic quantities of the field theory dual intensively…

High Energy Physics - Theory · Physics 2020-02-05 Hao Geng

Relative entropy of entanglement (REE) is an entanglement measure of bipartite mixed states, defined by the minimum of the relative entropy $S(\rho_{AB}|| \sigma_{AB})$ between a given mixed state $\rho_{AB}$ and an arbitrary separable…

High Energy Physics - Theory · Physics 2018-11-14 Tadashi Takayanagi , Tomonori Ugajin , Koji Umemoto

We calculate the time evolution of the entanglement entropy in a 1+1 CFT with a holographic dual when there is a localized left-moving packet of energy density. We find the gravity result agrees with a field theory result derived from the…

High Energy Physics - Theory · Physics 2013-07-10 Matthew M. Roberts

In this note, following [arXiv:1905.08255, arXiv:1905.08762, arXiv:1908.10996], we introduce and study various holographic systems which can describe evaporating black holes. The systems we consider are boundary conformal field theories for…

High Energy Physics - Theory · Physics 2020-05-20 Moshe Rozali , James Sully , Mark Van Raamsdonk , Christopher Waddell , David Wakeham

It is established that physical observables in local quantum field theories should be invariant under invertible field redefinitions. It is then expected that this statement should be true for the entanglement entropy and moreover that, via…

High Energy Physics - Theory · Physics 2016-08-17 M. R. Mohammadi Mozaffar , A. Mollabashi , M. M. Sheikh-Jabbari , M. H. Vahidinia

Topological entanglement entropy (TEE), the sub-leading term in the entanglement entropy of topological order, is the direct evidence of the long-range entanglement. While effective in characterizing topological orders on closed manifolds,…

Strongly Correlated Electrons · Physics 2023-12-04 Yingcheng Li

We discuss and compute entanglement entropy (EE) in (1+1)-dimensional free Lifshitz scalar field theories with arbitrary dynamical exponents. We consider both the subinterval and periodic sublattices in the discretized theory as subsystems.…

High Energy Physics - Theory · Physics 2018-04-25 Temple He , Javier M. Magan , Stefan Vandoren

We consider a quantum junction described by a 1+1-dimensional boundary conformal field theory (BCFT). Our analysis focuses on correlations emerging at finite temperature, achieved through the computation of entanglement measures. Our…

High Energy Physics - Theory · Physics 2024-05-28 Luca Capizzi , Andrei Rotaru

For holographic CFT states near the vacuum, entanglement entropies for spatial subsystems can be expressed perturbatively as an expansion in the one-point functions of local operators dual to light bulk fields. Using the connection between…

High Energy Physics - Theory · Physics 2016-07-20 Matthew J. S. Beach , Jaehoon Lee , Charles Rabideau , Mark Van Raamsdonk

Topologically ordered phases of matter can be characterized by the presence of a universal, constant contribution to the entanglement entropy known as the topological entanglement entropy (TEE). The TEE can been calculated for Abelian…

Strongly Correlated Electrons · Physics 2020-07-13 Ramanjit Sohal , Bo Han , Luiz H. Santos , Jeffrey C. Y. Teo

We consider deformation of a generic $d$ dimensional ($d\geq 2$) large-$N$ CFT on a sphere by a spin-0 operator which is bilinear in the components of the stress tensor. Such a deformation has been proposed to be holographically dual to an…

High Energy Physics - Theory · Physics 2019-09-26 Aritra Banerjee , Arpan Bhattacharyya , Soumangsu Chakraborty

It is conventional to study the entanglement between spatial regions of a quantum field theory. However, in some systems entanglement can be dominated by "internal", possibly gauged, degrees of freedom that are not spatially organized, and…

High Energy Physics - Theory · Physics 2015-06-22 Vijay Balasubramanian , Borun D. Chowdhury , Bartlomiej Czech , Jan de Boer

The holographic entanglement entropy is computed for an entangling surface that coincides with the horizon of a boundary de Sitter metric. This is achieved through an appropriate slicing of anti-de Sitter space and the implementation of a…

High Energy Physics - Theory · Physics 2020-06-17 Nikolaos Tetradis

We will explore the dynamical property of non-equilibrium phenomena induced by two-dimensional holographic conformal field theory (2d holographic CFT) Hamiltonian on the curved spacetime by studying the time dependence of the entanglement…

High Energy Physics - Theory · Physics 2024-12-31 Chen Bai , Akihiro Miyata , Masahiro Nozaki

We study the finite term of the holographic entanglement entropy for the charged black hole in AdS(d+2) and other examples of black holes when the spatial region in the boundary theory is given by one or two parallel strips. For one large…

High Energy Physics - Theory · Physics 2011-05-09 Erik Tonni

We study the growth of entanglement entropy(EE) of local operator excitation in the quantum Lifshitz model which has dynamic exponent z = 2. Specifically, we act a local vertex operator on the groundstate at a distance $l$ to the…

Statistical Mechanics · Physics 2016-10-20 Tianci Zhou