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We use the holographic proposal for calculating entanglement entropies to determine the boundary entropy of defects in strongly coupled two-dimensional conformal field theories. We study several examples including the Janus solution and…

High Energy Physics - Theory · Physics 2009-12-15 Tatsuo Azeyanagi , Andreas Karch , Tadashi Takayanagi , Ethan G. Thompson

Quantum systems with short range interactions are known to respect an area law for the entanglement entropy: the von Neumann entropy $S$ associated to a bipartition scales with the boundary $p$ between the two parts. Here we study the case…

Quantum Physics · Physics 2010-02-03 Alioscia Hamma , Daniel A. Lidar , Simone Severini

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 real part of pseudo entropy in conformal field theories is holographically calculated by the area of some extremal spacelike surfaces in the dual dS and AdS spacetimes. We show that the flat-space limit of these curves in…

High Energy Physics - Theory · Physics 2024-10-08 Reza Fareghbal

Entanglement entropy plays a variety of roles in quantum field theory, including the connections between quantum states and gravitation through the holographic principle. This article provides a review of entanglement entropy from a mixed…

High Energy Physics - Theory · Physics 2019-12-30 Tatsuma Nishioka

It has been argued that the entropy which one is computing in the isolated horizon framework of loop quantum gravity is closely related to the entanglement entropy of the gravitational field and that the calculation performed is not…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Norbert Bodendorfer

arXiv:1205.2953 defines an entropy for a gaussian scalar field $\phi$ in an arbitrary region of either a causal set or a continuous spacetime, given only the correlator $\langle\phi(x)\phi(y)\rangle$ within the region. As a first…

High Energy Physics - Theory · Physics 2020-12-25 Mehdi Saravani , Rafael D. Sorkin , Yasaman K. Yazdi

We enumerate the cases in 2d conformal field theory where the logarithm of the reduced density matrix (the entanglement or modular hamiltonian) may be written as an integral over the energy-momentum tensor times a local weight. These…

Statistical Mechanics · Physics 2017-01-19 John Cardy , Erik Tonni

We study one-loop bulk entanglement entropy in even spacetime dimensions using the heat kernel method, which captures the universal piece of entanglement entropy, a logarithmically divergent term in even dimensions. In four dimensions, we…

High Energy Physics - Theory · Physics 2021-07-21 Zhong-Ying Fan

In this paper, we study the entanglement entropy in string theory in the simplest setup of dividing the nine dimensional space into two halves. This corresponds to the leading quantum correction to the horizon entropy in string theory on…

High Energy Physics - Theory · Physics 2015-01-07 Song He , Tokiro Numasawa , Tadashi Takayanagi , Kento Watanabe

We show that the entropy of entanglement is sensitive to the coherent quantum phase transition between normal and super-radiant regions of a system of a finite number of three-level atoms interacting in a dipolar approximation with a…

Quantum Physics · Physics 2019-08-20 Luis Fernando Quezada , Eduardo Nahmad-Achar

In a quantum many-body system that possesses an additive conserved quantity, the entanglement entropy of a subsystem can be resolved into a sum of contributions from different sectors of the subsystem's reduced density matrix, each sector…

Statistical Mechanics · Physics 2020-03-26 Shachar Fraenkel , Moshe Goldstein

The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as…

High Energy Physics - Theory · Physics 2008-12-18 Michele Caraglio , Ferdinando Gliozzi

We consider banana shaped regions as examples of compact regions, whose boundary has two conical singularities. Their regularised holographic entropy is calculated with all divergent as well as finite terms. The coefficient of the squared…

High Energy Physics - Theory · Physics 2016-06-29 Harald Dorn

We consider the universal logarithmic divergent term in the entanglement entropy of gauge fields in the Minkowski vacuum with an entangling sphere. Employing the mapping in arXiv:1102.0440, we analyze the corresponding thermal entropy on…

High Energy Physics - Theory · Physics 2015-06-17 Christopher Eling , Yaron Oz , Stefan Theisen

We discuss the computation of holographic entanglement entropy for interface conformal field theories. The fact that globally well defined Fefferman-Graham coordinates are difficult to construct makes the regularization of the holographic…

High Energy Physics - Theory · Physics 2017-03-22 Michael Gutperle , Andrea Trivella

We propose a novel prescription for calculating the entanglement entropy of the $SU(N)$ Yang-Mills gauge theories on the lattice under the strong coupling expansion in powers of $\beta=2N/g^{2}$, where $g$ is the coupling constant. Using…

High Energy Physics - Theory · Physics 2021-04-08 Jiunn-Wei Chen , Shou-Huang Dai , Jin-Yi Pang

Motivated by the limited understanding of entanglement entropy in non-asymptotically AdS spacetimes, we develop a framework in which a circular string is embedded as a quantum probe in a spherically symmetric curved spacetime, and its…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Ai-chen Li , Xin-Fei Li , Xuanting Ji

We introduce a simple geometrical construction similar to covariant holographic entanglement entropy but with the addition of a new term proportional to boundary region volume. This new procedure has properties strongly resembling classical…

High Energy Physics - Theory · Physics 2019-05-10 Sean J. Weinberg

We investigate the behaviors of entanglement entropy in the holographical insulator/superconductor phase transition. We calculate the holographic entanglement entropy for two kinds of geometry configurations in a completely back-reacted…

High Energy Physics - Theory · Physics 2012-12-17 Rong-Gen Cai , Song He , Li Li , Yun-Long Zhang