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Related papers: Entanglement Entropy at Large Central Charge

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We calculate the area, edge and corner Renyi entanglement entropies in the ground state of the transverse-field Ising model, on a simple-cubic lattice, by high-field and low-field series expansions. We find that while the area term is…

Statistical Mechanics · Physics 2015-06-22 Trithep Devakul , Rajiv R. P. Singh

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

High Energy Physics - Theory · Physics 2009-11-18 Ari Pakman , Andrei Parnachev

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 the relative entanglement entropies of one interval between excited states of a 1+1 dimensional conformal field theory (CFT). To compute the relative entropy $S(\rho_1 \| \rho_0)$ between two given reduced density matrices $\rho_1$…

High Energy Physics - Theory · Physics 2017-02-14 Paola Ruggiero , Pasquale Calabrese

In this paper, we study the entanglement entropy between two SYK systems with bilinear coupling. We use the replica trick to calculate the entanglement entropy in the ground state. In parallel, we calculate the entanglement entropy through…

High Energy Physics - Theory · Physics 2019-07-24 Yiming Chen , Pengfei Zhang

We present a new type of generalization of the Renyi entropy that follows naturally from its representation as a thermodynamic quantity. We apply it to the case of d-dimensional conformal field theories (CFTs) reduced on a region bounded by…

High Energy Physics - Theory · Physics 2019-05-29 Clifford V. Johnson

We introduce and study generalized R\'enyi entropies defined through the traces of products of ${\rm Tr}_B (|\Psi_i\rangle\langle \Psi_j|)$ where $|\Psi_i\rangle$ are eigenstates of a two-dimensional conformal field theory (CFT). When…

High Energy Physics - Theory · Physics 2022-09-21 Sara Murciano , Pasquale Calabrese , Robert M. Konik

We reconsider the computation of the entanglement entropy of two disjoint intervals in a (1+1) dimensional conformal field theory by conformal block expansion of the 4-point correlation function of twist fields. We show that accurate…

Statistical Mechanics · Physics 2019-03-26 Paola Ruggiero , Erik Tonni , Pasquale Calabrese

We investigate entanglement entropy in $3d$ $\mathcal{N}=2$ superconformal field theories from two different perspectives. We first confirm that the dependence of supersymmetric entanglement entropy (as defined in arXiv:1306.2958) on the…

High Energy Physics - Theory · Physics 2024-10-28 Pedro Vicente Marto , Umut Gürsoy , Guim Planella Planas

We show that for a d-dimensional CFT in flat space, the Renyi entropy S_q across a spherical entangling surface has the following property: in an expansion around q=1, the first correction to the entanglement entropy is proportional to C_T,…

High Energy Physics - Theory · Physics 2015-06-16 Eric Perlmutter

Similarly to the system Hamiltonian, a subsystem's reduced density matrix is composed of blocks characterized by symmetry quantum numbers (charge sectors). We present a geometric approach for extracting the contribution of individual charge…

Statistical Mechanics · Physics 2018-05-17 Moshe Goldstein , Eran Sela

We consider entanglement entropy in the context of gauge/gravity duality for conformal field theories in even dimensions. The holographic prescription due to Ryu and Takayanagi (RT) leads to an equation describing how the entangling surface…

High Energy Physics - Theory · Physics 2015-06-15 Arpan Bhattacharyya , Aninda Sinha

A remarkable yet mysterious property of black holes is that their entropy is proportional to the horizon area. This area law inspired the holographic principle, which was later realized concretely in gauge/gravity duality. In this context,…

High Energy Physics - Theory · Physics 2016-08-15 Xi Dong

The Ryu-Takayanagi prescription reduces the problem of calculating entanglement entropy in CFTs to the determination of minimal surfaces in a dual anti-de Sitter geometry. For 3D gravity theories and BTZ black holes, we identify the minimal…

High Energy Physics - Theory · Physics 2017-09-19 I. Bakhmatov , N. S. Deger , J. Gutowski , E. Ó Colgáin , H. Yavartanoo

We extend the reflected entropy to the bipartite state in a two dimensional Galilean conformal field theory ($GCFT_2$) which is dual to the asymptotically flat spacetime described by the generalized minimal massive gravity (GMMG). To this…

High Energy Physics - Theory · Physics 2022-01-28 M. R. Setare , M. Koohgard

The Ryu-Takayanagi and covariant Hubeny-Rangamani-Takayanagi proposals relate entanglement entropy in CFTs with holographic duals to the areas of minimal or extremal surfaces in the bulk geometry. We show how, in three dimensional pure…

High Energy Physics - Theory · Physics 2015-06-23 Henry Maxfield

We study how the universal contribution to entanglement entropy in a conformal field theory depends on the entangling region. We show that for a deformed sphere the variation of the universal contribution is quadratic in the deformation…

High Energy Physics - Theory · Physics 2015-02-17 Andrea Allais , Márk Mezei

We consider a conformal field theory in two dimensions in which an external perturbation is placed. We study the energy flux and entanglement entropy for one, two and multiple intervals and give a suggestion relating the two in some cases.…

High Energy Physics - Theory · Physics 2017-11-01 Talya Vaknin

We study the bipartite entanglement entropy of the two-dimensional (2D) transverse-field Ising model in the thermodynamic limit using series expansion methods. Expansions are developed for the Renyi entropy around both the small-field and…

Statistical Mechanics · Physics 2012-09-19 Rajiv R. P. Singh , Roger G. Melko , Jaan Oitmaa

We extend the approach of Casini, Huerta and Myers to a new calculation of the Renyi entropy of a general CFT in d dimensions with a spherical entangling surface, in terms of certain thermal partition functions. We apply this approach to…

High Energy Physics - Theory · Physics 2012-11-07 Janet Hung , Robert C. Myers , Michael Smolkin , Alexandre Yale