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We study a class of quantum states involving multiple entangled CFTs in AdS$_3$/CFT$_2$, associated with multi-boundary black hole geometries, and demonstrate that the Ryu-Takayanagi (RT) formula for entanglement entropy can be derived…

High Energy Physics - Theory · Physics 2026-01-01 Ning Bao , Hao Geng , Yikun Jiang

We investigate the entanglement entropy (EE) of circular entangling cuts in the 2+1-dimensional quantum Lifshitz model, whose ground state wave function is a spatially conformal invariant state of the Rokhsar-Kivelson type, whose weight is…

Statistical Mechanics · Physics 2016-09-15 Tianci Zhou , Xiao Chen , Thomas Faulkner , Eduardo Fradkin

We study holographic entanglement entropy of non-local field theories both at extremality and finite temperature. The gravity duals, constructed in arXiv:1208.3469 [hep-th], are characterized by a parameter $w$. Both the zero temperature…

High Energy Physics - Theory · Physics 2014-06-18 Da-Wei Pang

The leading asymptotic large-scale behaviour of the spatially bipartite entanglement entropy (EE) of the free Fermi gas infinitely extended in multidimensional Euclidean space at zero absolute temperature, T=0, is by now well understood.…

Quantum Physics · Physics 2017-03-06 Hajo Leschke , Alexander V. Sobolev , Wolfgang Spitzer

Entanglement entropy obeys a 'first law', an exact quantum generalization of the ordinary first law of thermodynamics. In any CFT with a semiclassical holographic dual, this first law has an interpretation in the dual gravitational theory…

High Energy Physics - Theory · Physics 2017-07-13 Thomas Faulkner , Monica Guica , Thomas Hartman , Robert C. Myers , Mark Van Raamsdonk

I study the entanglement entropy (EE) across a deformed sphere in conformal field theories (CFTs). I show that the sphere (locally) minimizes the universal term in EE among all shapes. In arXiv:1407.7249 it was derived that the sphere is a…

High Energy Physics - Theory · Physics 2015-03-05 Márk Mezei

We analyze the finite size corrections to entanglement in quantum critical systems. By using conformal symmetry and density functional theory, we discuss the structure of the finite size contributions to a general measure of ground state…

Quantum Physics · Physics 2009-11-13 F. C. Alcaraz , M. S. Sarandy

The holographic entanglement entropies (HEE) associated with four dimensional Schwarzschild and Reisner-Nordstr\"om black holes in asymptotically Minkowski spacetimes are investigated. Unlike the cases of asymptotically AdS spacetimes for…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Yuan Sun , Liu Zhao

We compute holographic timelike entanglement entropy for quantum BTZ black holes in a Karch-Randall braneworld scenario. These black holes are exact solutions of massive 3d gravity on the brane and are conjectured to be dual to thermal…

High Energy Physics - Theory · Physics 2025-09-03 Dibakar Roychowdhury

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

Bipartite entanglement entropy of a segment with the length $l$ in $1+1$ dimensional conformal field theories (CFT) follows the formula $S=\frac{c}{3}\ln l+\gamma$, where $c$ is the central charge of the CFT and $\gamma$ is a cut-off…

High Energy Physics - Theory · Physics 2017-12-20 M. A. Rajabpour

Entanglement entropy provides a powerful characterization of two-dimensional gapped topological phases of quantum matter, intimately tied to their description by topological quantum field theories (TQFTs). Fracton topological orders are…

Strongly Correlated Electrons · Physics 2018-03-08 Han Ma , A. T. Schmitz , S. A. Parameswaran , Michael Hermele , Rahul M. Nandkishore

The recent study in AdS$_3$/CFT$_2$ correspondence shows that the tree level contribution and 1-loop correction of holographic R\'enyi entanglement entropy (HRE) exactly match the direct CFT computation in the large central charge limit.…

High Energy Physics - Theory · Physics 2015-04-29 Bin Chen , Feng-yan Song , Jia-ju Zhang

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

We investigate the effect of a time-reversal breaking impurity term on both the equilibrium and non-equilibrium critical properties of entanglement entropy (EE) in a three-spin interacting transverse Ising model which can be mapped to a…

Statistical Mechanics · Physics 2018-04-24 Tanay Nag , Atanu Rajak

We study the time evolution of the entanglement structure of holographic conformal field theories after a local quench. Using the mutual information between two spatial intervals as a probe, we find that $1+1$-dimensional conformal field…

High Energy Physics - Theory · Physics 2026-05-29 Joseph Dominicus Lap , Jad C. Halimeh , David Horn , Lukas Ebner , Clemens Seidl , Berndt Müller , Andreas Schäfer , Jakob Minar

The R\'enyi entanglement entropy (REE) of the states excited by local operators in two-dimensional irrational conformal field theories (CFTs), especially in Liouville field theory (LFT) and $\mathcal{N}=1$ super-Liouville field theory…

High Energy Physics - Theory · Physics 2019-01-16 Song He

We study the entanglement phase structure of a holographic boundary conformal field theory (BCFT) in a two-dimensional black hole background. The bulk dual is the AdS$_3$ black string geometry with a Karch-Randall brane. We compute the…

High Energy Physics - Theory · Physics 2022-12-28 Hao Geng , Lisa Randall , Erik Swanson

We evaluate the holographic entanglement entropy, HEE, holographic mutual information, HMI, and holographic entanglement of purification, EoP, in a non-conformal model at zero and finite temperature. In order to find the analytical results…

High Energy Physics - Theory · Physics 2022-04-20 M. Ali-Akbari , M. Asadi , B. Amrahi

Significant work has gone into determining the minimal set of entropy inequalities that determine the holographic entropy cone. Holographic systems with three or more parties have been shown to obey additional inequalities that generic…

High Energy Physics - Theory · Physics 2015-09-15 Emory Brown , Ning Bao , Sepehr Nezami
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