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We study the shape dependence of entanglement entropy (EE) by deforming symmetric entangling surfaces. We show that entangling surfaces with a rotational or translational symmetry extremize (locally) the EE with respect to shape…

High Energy Physics - Theory · Physics 2016-01-27 Dean Carmi

We propose that holographic entanglement entropy can be calculated at arbitrary orders in the bulk Planck constant using the concept of a "quantum extremal surface": a surface which extremizes the generalized entropy, i.e. the sum of area…

High Energy Physics - Theory · Physics 2015-10-27 Netta Engelhardt , Aron C. Wall

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

High Energy Physics - Theory · Physics 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi

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

The entanglement entropy of a subsystem $A$ of a quantum system is expressed, in the replica method, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix $\tr\rho_A^n$. We study the…

Statistical Mechanics · Physics 2010-03-25 F. Gliozzi , L. Tagliacozzo

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

High Energy Physics - Theory · Physics 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

Recently, it has been shown by Balasubramanian et al. and Myers et al. that the Bekenstein-Hawking entropy formula evaluated on certain closed surfaces in the bulk of a holographic spacetime has an interpretation as the differential entropy…

High Energy Physics - Theory · Physics 2015-06-22 Matthew Headrick , Robert C. Myers , Jason Wien

We consider holographic entanglement entropy in AdS black hole backgrounds by using the limit of large number of dimensions. By dividing the geometry to two patches (with one patch covering the vicinity of the black hole horizon and another…

High Energy Physics - Theory · Physics 2026-03-27 Parul Jain , Matti Järvinen

For a given entanglement entropy of QFT, we investigate how to reconstruct its dual geometry by applying the Ryu-Takayanagi formula and the deep learning method. In the holographic setup, the radial direction of the dual geometry is…

High Energy Physics - Theory · Physics 2022-12-07 Chanyong Park , Chi-Ok Hwang , Kyungchan Cho , Se-Jin Kim

We study the dynamics of gravitationally collapsing massive shells in AdS spacetime, and show in detail how one can determine extremal surfaces traversing them. The results are used to solve the time evolution of the holographic…

High Energy Physics - Theory · Physics 2015-04-01 Ville Keranen , Hiromichi Nishimura , Stefan Stricker , Olli Taanila , Aleksi Vuorinen

The phase structure of holographic entanglement entropy is studied in massive gravity for the quantum systems with finite and infinite volumes, which in the bulk is dual to calculate the minimal surface area for a black hole and black brane…

General Relativity and Quantum Cosmology · Physics 2016-11-30 Xiao-Xiong Zeng , Hongbao Zhang , Li-Fang Li

In the context of holographic duality with AdS3 asymptotics, the Ryu-Takayanagi formula states that the entanglement entropy of a subregion is given by the length of a certain bulk geodesic. The entanglement entropy can be operationalized…

High Energy Physics - Theory · Physics 2016-04-05 Bartlomiej Czech , Patrick Hayden , Nima Lashkari , Brian Swingle

In this work, we explore holographic entanglement entropy in the QCD phase diagram under an external magnetic field using an Einstein-Maxwell-dilaton model. We consider both the specious-confinement and deconfined phases. In the…

High Energy Physics - Theory · Physics 2026-05-19 Man-Man Sun , Man-Li Tian , Zhou-Run Zhu

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 study holographic entanglement entropy in the background of charged dilatonic black holes which can be viewed as holographic duals of certain finite density states of N=4 super Yang-Mills. These charged black holes are distinguished in…

High Energy Physics - Theory · Physics 2012-10-22 Manuela Kulaxizi , Andrei Parnachev , Koenraad Schalm

We study the holographic construction of timelike entanglement entropy (tEE) in black hole backgrounds in Lorentzian geometries. The holographic tEE is realized through extremal surfaces consisting of spacelike and timelike branches that…

High Energy Physics - Theory · Physics 2026-03-11 Mir Afrasiar , Jaydeep Kumar Basak , Keun-Young Kim

The recently proposed gravitational entropy generalize the usual black hole entropy to Euclidean solutions without U(1) symmetry in the framework of Einstein gravity. The entropy of such smooth configuration is given by the area of minimal…

High Energy Physics - Theory · Physics 2013-08-07 Bin Chen , Jia-ju Zhang

The entanglement entropy of the incompressible states of a realistic quantum Hall system in the second Landau level are studied by direct diagonalization. The subdominant term to the area law, the topological entanglement entropy, which is…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 B. A. Friedman , G. C. Levine

We investigate entanglement entropy between the pair of type II$_1$ algebras of the double-scaled SYK (DSSYK) model given a chord state, its holographic interpretation as generalized horizon entropy; particularly in the (anti-)de Sitter…

High Energy Physics - Theory · Physics 2026-05-12 Sergio E. Aguilar-Gutierrez

We study holographic entanglement entropy in dS/CFT and introduce time-like entanglement entropy in CFTs. Both of them take complex values in general and are related with each other via an analytical continuation. We argue that they are…

High Energy Physics - Theory · Physics 2023-02-01 Kazuki Doi , Jonathan Harper , Ali Mollabashi , Tadashi Takayanagi , Yusuke Taki