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It was proposed by Ryu and Takayanagi that the entanglement entropy in conformal field theory (CFT) is related through the AdS/CFT correspondence to the area of a minimal surface in the bulk. We apply this holographic geometrical method of…

High Energy Physics - Theory · Physics 2014-06-11 Pavel Krtous , Andrei Zelnikov

In the AdS/CFT correspondence, it is often convenient to regulate infinite quantities in asymptotically anti-de Sitter spacetimes by introducing a sharp cutoff in a radial coordinate. This procedure is a priori coordinate-dependent, and may…

High Energy Physics - Theory · Physics 2019-10-18 Jonathan Sorce

We consider the holographic entanglement entropy of $(d+2)$-dimensional semi-local quantum liquids, for which the dual gravity background in the deep interior is $AdS_{2}\times\mathbb{R}^{d}$ multiplied by a warp factor which depends on the…

High Energy Physics - Theory · Physics 2015-06-17 Johanna Erdmenger , Da-Wei Pang , Hansjörg Zeller

We revisit the issue of defining the entropy of a spatial region in a broad class of quantum theories. In theories with explicit regularizations, working within an elementary but general algebraic framework applicable to matter and gauge…

High Energy Physics - Theory · Physics 2018-09-18 Jennifer Lin , Djordje Radicevic

In this paper, we present holographic descriptions of entanglement phase transition using AdS/BCFT. First, we analytically calculate the holographic pseudo entropy in the AdS/BCFT model with a brane localized scalar field and show the…

High Energy Physics - Theory · Physics 2024-07-31 Hiroki Kanda , Taishi Kawamoto , Yu-ki Suzuki , Tadashi Takayanagi , Kenya Tasuki , Zixia Wei

We study the entanglement entropy in 1+1 dimensional conformal field theories in the presence of interfaces from a holographic perspective. Compared with the well-known case of boundary conformal field theories, interfaces allow for several…

High Energy Physics - Theory · Physics 2023-08-22 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

In this paper we continue the study of renormalized entanglement entropy introduced in [1]. In particular, we investigate its behavior near an IR fixed point using holographic duality. We develop techniques which, for any static holographic…

High Energy Physics - Theory · Physics 2015-06-17 Hong Liu , Márk Mezei

We propose a covariant prescription to compute holographic entanglement entropy and Poincare blocks (Global BMS blocks) in the context of three-dimensional Einstein gravity in flat space. We first present a prescription based on worldline…

High Energy Physics - Theory · Physics 2018-06-13 Eliot Hijano , Charles Rabideau

We calculate the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, using holography. We employ appropriate parametrizations of AdS space in order to obtain a Rindler or static de Sitter boundary metric. The…

High Energy Physics - Theory · Physics 2019-07-17 D. Giataganas , N. Tetradis

The vacuum entanglement entropy in quantum field theory provides nonperturbative information about renormalization group flows. Most studies so far have focused on the universal terms, related to the Weyl anomaly in even space-time…

High Energy Physics - Theory · Physics 2023-01-24 Lucas Daguerre , Matias Ginzburg , Gonzalo Torroba

We consider linear superpositions of single particle excitations in a scalar field theory on $AdS_3$ and evaluate their contribution to the bulk entanglement entropy across the Ryu-Takayanagi surface. We compare the entanglement entropy of…

High Energy Physics - Theory · Physics 2024-05-03 Barsha G. Chowdhury , Justin R. David , Semanti Dutta , Jyotirmoy Mukherjee

The BPS D3 brane has a non-supersymmetric cousin, called the non-susy D3 brane, which is also a solution of type IIB string theory. The corresponding counterpart of black D3 brane is the `black' non-susy D3 brane and like the BPS D3 brane,…

High Energy Physics - Theory · Physics 2019-10-29 Aranya Bhattacharya , Shibaji Roy

We compute the entanglement entropy in a composite system separated by a finitely ramified boundary with the structure of a self-similar lattice graph. We derive the entropy as a function of the decimation factor which determines the…

Quantum Physics · Physics 2018-11-14 Ibrahim Akal

We calculate the entanglement entropy of blocks of size x embedded in a larger system of size L, by means of a combination of analytical and numerical techniques. The complete entanglement entropy in this case is a sum of three terms. One…

Statistical Mechanics · Physics 2008-06-17 Vivian V. Franca , Klaus Capelle

The entanglement entropy has been historically studied by many authors in order to obtain quantum mechanical interpretations of the gravitational entropy. The discovery of AdS/CFT correspondence leads to the idea of holographic entanglement…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Tadashi Takayanagi

We study the entanglement entropy of random partitions in one- and two-dimensional critical fermionic systems. In an infinite system we consider a finite, connected (hypercubic) domain of linear extent $L$, the points of which with…

Disordered Systems and Neural Networks · Physics 2022-02-18 Gergö Roósz , István A. Kovács , Ferenc Iglói

The entanglement entropy of the random transverse-field Ising model is calculated by a numerical implementation of the asymptotically exact strong disorder renormalization group method in 2d, 3d and 4d hypercubic lattices for different…

Statistical Mechanics · Physics 2012-03-23 István A. Kovács , Ferenc Iglói

In this article, we investigate the entanglement structure of bipartite mixed states in (1+1)-dimensional boundary conformal field theories (BCFT$_2$s) through the odd entanglement entropy (OEE) by employing an appropriate replica…

High Energy Physics - Theory · Physics 2023-10-18 Anjali Kumari , Vinayak Raj , Gautam Sengupta

We examine the deSitter entropy in the braneworld model with the Gauss-Bonnet/Lovelock terms. Then, we can see that the deSitter entropy computed through the Euclidean action exactly coincides with the holographic entanglement entropy.

High Energy Physics - Theory · Physics 2021-05-05 Kouki Kushihara , Keisuke Izumi , Tetsuya Shiromizu

In this paper we calculate the entanglement entropy of two coupled gapless systems in general spatial dimension d. The gapless systems can be either conformal field theories (CFT), or Fermi liquids. We assume the two systems are coupled…

Strongly Correlated Electrons · Physics 2015-05-27 Cenke Xu