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Related papers: Universal corner entanglement from twist operators

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We use holography in order to study the entropy of thermal CFTs on (1+1)-dimensional curved backgrounds that contain horizons. Starting from the metric of the BTZ black hole, we perform explicit coordinate transformations that set the…

High Energy Physics - Theory · Physics 2021-09-29 Dimitrios Giataganas , Nikolaos Tetradis

The entanglement spectrum of a bipartite quantum system is given by the distribution of eigenvalues of the modular Hamiltonian. In this work, we compute the entanglement spectrum in the vacuum state for a subregion of a $d$-dimensional…

High Energy Physics - Theory · Physics 2024-11-05 Stefano Baiguera , Shira Chapman , Christian Northe , Giuseppe Policastro , Tal Schwartzman

We investigate the entanglement entropy in the Integer Quantum Hall effect in the presence of an edge, performing an exact calculation directly from the microscopic two-dimensional wavefunction. The edge contribution is shown to coincide…

Strongly Correlated Electrons · Physics 2020-03-20 Benoit Estienne , Jean-Marie Stéphan

We confirm the direct connection between entanglement entropy and the notion of irreversibility in the renormalization-group flow in the context of a simple theory for which a calculation from first principles is feasible. The change of the…

High Energy Physics - Theory · Physics 2025-09-04 Konstantinos Boutivas , Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

A comprehensive symmetry resolution of the entanglement entropy (EE) in $(1+1)$-d rational conformal field theories (RCFT) with categorical non-invertible symmetries is presented. This amounts to symmetry resolving the entanglement with…

High Energy Physics - Theory · Physics 2024-12-10 Arpit Das , Javier Molina-Vilaplana , Pablo Saura-Bastida

Following the set up in arXiv:1408.3393, we study 4d N=1 superconformal field theories in conic spaces. We show that the universal part of supersymmetric R\'enyi entropy S_q across a spherical entangling surface in the limit q goes to 0 is…

High Energy Physics - Theory · Physics 2015-08-14 Yang Zhou

We compute entanglement entropy for free massive scalar fields in anti-de Sitter (AdS) space. The entangling surface is a minimal surface whose boundary is a sphere at the boundary of AdS. The entropy can be evaluated from the thermal free…

High Energy Physics - Theory · Physics 2017-11-22 Sotaro Sugishita

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

The entanglement entropy is a unique probe to reveal universal features of strongly interacting many-body systems. In two or more dimensions these features are subtle, and detecting them numerically requires extreme precision, a notoriously…

Strongly Correlated Electrons · Physics 2024-03-05 Jonathan D'Emidio , Roman Orus , Nicolas Laflorencie , Fernando de Juan

We mainly study the R\'enyi entropy and entanglement entropy of the states locally excited by the descendent operators in two dimensional conformal field theories (CFTs). In rational CFTs, we prove that the increase of entanglement entropy…

High Energy Physics - Theory · Physics 2015-08-10 Bin Chen , Wu-Zhong Guo , Song He , Jie-qiang Wu

We calculate analytically the R\'enyi bipartite entanglement entropy $S_{\alpha}$ of the ground state of $1+1$ dimensional conformal field theories (CFT) after performing a projective measurement in a part of the system. We show that the…

High Energy Physics - Theory · Physics 2016-08-03 M. A. Rajabpour

In this article we study large central charge partition function and entanglement entropy of $T\bar{T}$ deformed two dimensional conformal field theory, following the approach to $T\bar{T}$ deformation as integrated infinitesimal double…

High Energy Physics - Theory · Physics 2021-02-16 Yi Li

We present a thorough analysis of the entanglement entropies related to different symmetry sectors of free quantum field theories (QFT) with an internal U(1) symmetry. We provide explicit analytic computations for the charged moments of…

High Energy Physics - Theory · Physics 2020-08-25 Sara Murciano , Giuseppe Di Giulio , Pasquale Calabrese

We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is…

High Energy Physics - Theory · Physics 2015-06-23 Vladimir Rosenhaus , Michael Smolkin

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

Quantum Physics · Physics 2022-07-14 Nick G. Jones

In 2006, Ryu and Takayanagi (RT) pointed out that (with a suitable cutoff) the entanglement entropy between two complementary regions of an equal-time surface of a d+1-dimensional conformal field theory on the conformal boundary of…

High Energy Physics - Theory · Physics 2016-05-26 Bernard S. Kay

Assuming that the dominant contribution, to the entropy due to entanglement across a spherical hypersurface, comes from the near horizon degrees of freedom, we analytically derive the entropy of a free massless scalar field in Minkowski…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Suman Ghosh

A holographic correspondence has been recently developed between higher spin theories in three-dimensional anti-de Sitter space (AdS_3) and two-dimensional Conformal Field Theories (CFTs) with extended symmetries. A class of such dualities…

High Energy Physics - Theory · Physics 2018-10-09 Jan de Boer , Juan I. Jottar

In analogy to the first law of thermodynamics, the increase in entanglement entropy $\delta S$ of a conformal field theory (CFT) is proportional to the increase in energy, $\delta E$, of the subsystem divided by an effective entanglement…

High Energy Physics - Theory · Physics 2016-07-13 G. C. Levine , B. Caravan

We investigate the one-loop entanglement entropy of two short intervals with small cross ratio $x$ on a complex plane in two-dimensional conformal field theory (CFT) using operator product expansion of twist operators. We focus on the…

High Energy Physics - Theory · Physics 2016-06-09 Zhibin Li , Jia-ju Zhang
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