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Some quantum field theories show, in a fundamental or an effective manner, an alternative between a loss of duality for algebras of operators corresponding to complementary regions, or a loss of additivity. In this latter case, the algebra…

High Energy Physics - Theory · Physics 2020-03-18 Horacio Casini , Marina Huerta , Javier M. Magan , Diego Pontello

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

It is well known that quantum effects can produce negative energy densities, though for limited times. Here we show in the context of two-dimensional CFT that such negative energy densities are present in any non-trivial conformal vacuum…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Eugenio Bianchi , Matteo Smerlak

We develop a general framework to compute the scaling of entanglement entropy in inhomogeneous one-dimensional quantum systems belonging to the Luttinger liquid universality class. While much insight has been gained in homogeneous systems…

Statistical Mechanics · Physics 2020-03-26 Alvise Bastianello , Jérôme Dubail , Jean-Marie Stéphan

We study holographic entanglement entropy in four-dimensional quantum gravity with negative cosmological constant. By using the replica trick and evaluating path integrals in the minisuperspace approximation, in conjunction with the…

High Energy Physics - Theory · Physics 2020-04-15 Shinji Hirano

We propose a covariant holographic conjecture for the entanglement negativity of mixed states in bipartite systems described by $d$-dimensional conformal field theories dual to bulk non static $AdS_{d+1}$ configurations. Application of our…

High Energy Physics - Theory · Physics 2022-08-31 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta

Measures of entanglement can be employed for the analysis of numerous quantum information protocols. Due to computational convenience, logarithmic negativity is often the choice in the case of continuous variable systems. In this work, we…

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of…

High Energy Physics - Theory · Physics 2018-06-29 Alexander Jahn , Tadashi Takayanagi

The entanglement entropy of a massless scalar field in de Sitter space depends on multiple scales, such as the radius of the entangling surface, the Hubble constant and the UV cutoff. We perform a high-precision numerical calculation using…

High Energy Physics - Theory · Physics 2025-09-03 Konstantinos Boutivas , Dimitrios Katsinis , Georgios Pastras , Nikolaos Tetradis

We calculate quantum corrections to holographic entanglement entropy in the proposed duality between $T\bar{T}$-deformed holographic 2D CFTs and gravity in AdS$_{3}$ with a finite cutoff. We first establish the dictionary between the two…

High Energy Physics - Theory · Physics 2020-05-20 William Donnelly , Elise LePage , Yan-Yan Li , Andre Pereira , Vasudev Shyam

The relative entropy is a measure of the distinguishability of two quantum states. A great deal of progress has been made in the study of the relative entropy between an excited state and the vacuum state of a conformal field theory (CFT)…

High Energy Physics - Theory · Physics 2019-11-25 Ning Bao , Mudassir Moosa , Ibrahim Shehzad

We use bosonic field theories and the infinite system density matrix renormalization group (iDMRG) method to study infinite strips of fractional quantum Hall (FQH) states starting from microscopic Hamiltonians. Finite-entanglement scaling…

Strongly Correlated Electrons · Physics 2013-10-30 Daniel Varjas , Michael P. Zaletel , Joel E. Moore

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

Within the confining color flux tube picture, we assess the color electric field generated by quark-antiquark pairs within the framework of the Schwinger model and estimate its impact on the chiral condensate. We observe differences in the…

High Energy Physics - Phenomenology · Physics 2024-05-07 Wei Kou , Xurong Chen

Entanglement entropy is now widely accepted as having deep connections with quantum gravity. It is therefore desirable to understand it in the context of causal sets, especially since they provide in a natural manner the UV cutoff needed to…

High Energy Physics - Theory · Physics 2018-03-13 Rafael D. Sorkin , Yasaman K. Yazdi

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

In this paper, we study the fine structure of entanglement in holographic two-dimensional boundary conformal field theories (BCFT) in terms of the spatially resolved quasilocal extension of entanglement entropy - entanglement contour. We…

High Energy Physics - Theory · Physics 2022-03-23 Dmitry S. Ageev

We derive a general relation between the ground state entanglement Hamiltonian and the physical stress tensor within the path integral formalism. For spherical entangling surfaces in a CFT, we reproduce the \emph{local} ground state…

High Energy Physics - Theory · Physics 2014-05-05 Gabriel Wong , Israel Klich , Leopoldo A. Pando Zayas , Diana Vaman

Quantum entanglement and its main quantitative measures, the entanglement entropy and entanglement negativity, play a central role in many body physics. An interesting twist arises when the system considered has symmetries leading to…

Statistical Mechanics · Physics 2020-01-08 Noa Feldman , Moshe Goldstein

We study entanglement entropy in gravity theory with quantum effects. A simplest model is a two dimensional Einstein-Hilbert action . We use an $n$-sheet manifold to obtain an area term of entanglement entropy by summing over all background…

High Energy Physics - Theory · Physics 2017-09-12 Chen-Te Ma