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We investigate the behavior of entanglement entropy across the holographic p-wave superconductor phase transition in an Einstein-Yang-Mills theory with a negative cosmological constant. The holographic entanglement entropy is calculated for…

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

We derive the holographic entanglement entropy contribution from pure and mixed gravitational Chern-Simons(CS) terms in AdS$_{2k+1}$. This is done through two different methods : first, by a direct evaluation of CS action in a holographic…

High Energy Physics - Theory · Physics 2017-02-08 Tatsuo Azeyanagi , R. Loganayagam , Gim Seng Ng

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

Strongly Correlated Electrons · Physics 2008-11-26 Eduardo Fradkin , Joel E. Moore

It is shown how to construct renormalization group flows of quantum field theories in real space, as opposed to the usual Wilsonian approach in momentum space. This is achieved by generalizing the multiscale entanglement renormalization…

High Energy Physics - Theory · Physics 2013-12-23 Jutho Haegeman , Tobias J. Osborne , Henri Verschelde , Frank Verstraete

In this paper, we study the entanglement entropy in a large class of states of two-dimensional conformal field theory in the the large central charge limit. This class of states includes the states created by the insertion of a finite…

High Energy Physics - Theory · Physics 2016-09-21 Bin Chen , Jie-qiang Wu

The connectivity index, defined as the number of decoupled components of a separable quantum system, can change under deformations of the Hamiltonian or during the dynamical change of the system under renormalization group flow. Such…

High Energy Physics - Theory · Physics 2015-06-23 Francesco Aprile , Vasilis Niarchos

We study holographic entanglement entropy for certain logarithmic conformal field theories by making use of their gravity descriptions. The corresponding gravity descriptions are provided by higher derivative gravity at critical points…

High Energy Physics - Theory · Physics 2014-05-14 Mohsen Alishahiha , Amin Faraji Astaneh , M. Reza Mohammadi Mozaffar

We find the entanglement entropy of a subregion of the vacuum state in scalar quantum electrodynamics, working perturbatively to the 2-loops level. Doing so leads us to derive the Maxwell-Proca propagator in conical Euclidean space. The…

High Energy Physics - Theory · Physics 2025-10-02 Samuel Fedida , Anupam Mazumdar , Sougato Bose , Alessio Serafini

The entanglement entropy is a fundamental quantity which characterizes the correlations between sub-systems in a larger quantum-mechanical system. For two sub-systems separated by a surface the entanglement entropy is proportional to the…

High Energy Physics - Theory · Physics 2015-05-27 Sergey N. Solodukhin

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 study the holographic entanglement entropy in a homogeneous falling shell background, which is dual to the strongly coupled field theory following a global quench. For d=2 conformal field theories, it is known that the entropy has a…

High Energy Physics - Theory · Physics 2013-09-12 Yong-Zhuang Li , Shao-Feng Wu , Yong-Qiang Wang , Guo-Hong Yang

The entanglement entropy in one dimensional critical systems with boundaries has been associated with the noninteger ground state degeneracy. This quantity, being a characteristic of boundary fixed points, decreases under renormalization…

Statistical Mechanics · Physics 2017-08-30 Eyal Cornfeld , Eran Sela

We use holographic duality to study the entanglement entropy (EE) of Conformal Field Theories (CFTs) in various spacetime dimensions $d$, in the presence of various deformations: a relevant Lorentz scalar operator with constant source, a…

High Energy Physics - Theory · Physics 2017-11-22 Nikola I. Gushterov , Andy O'Bannon , Ronnie Rodgers

The entanglement entropy of the ground state of a quantum lattice model with local interactions usually satisfies an area law. However, in 1D systems some violations may appear in inhomogeneous systems or in random systems. In our…

Quantum Physics · Physics 2018-05-08 Giovanni Ramírez

We present a method to compute the symmetry-resolved entanglement entropy of spherical regions in higher-dimensional conformal field theories. By employing Casini-Huerta-Myers mapping, we transform the entanglement problem into…

High Energy Physics - Theory · Physics 2025-10-14 Yuanzhu Huang , Yang Zhou

We discuss the entanglement entropy for a massive Klein-Gordon field in two Schwarzschild-like quantum black hole spacetimes, also including a nonminimal coupling term with the background scalar curvature. To compute the entanglement…

General Relativity and Quantum Cosmology · Physics 2025-06-10 Alessio Belfiglio , Orlando Luongo , Stefano Mancini , Sebastiano Tomasi

We derive the universal terms of entanglement entropy for 6d CFTs by applying the holographic and the field theoretical approaches, respectively. Our formulas are conformal invariant and agree with the results of [34,35]. Remarkably, we…

High Energy Physics - Theory · Physics 2015-09-22 Rong-Xin Miao

We consider situations where the renormalized geometric entropy, as defined by the AdS/CFT ansatz of Ryu and Takayanagi, shows extensive behavior in the volume of the entangled region. In general, any holographic geometry that is `capped'…

High Energy Physics - Theory · Physics 2014-11-18 Jose L. F. Barbon , Carlos A. Fuertes

We introduce R\'enyi entropy of a subsystem energy as a natural quantity which closely mimics the behavior of the entanglement entropy and can be defined for all the quantum many body systems. For this purpose, consider a quantum chain in…

Strongly Correlated Electrons · Physics 2019-11-13 Khadijeh Najafi , M. A. Rajabpour

We reconstruct entanglement thermodynamics by means of Hessian geometry, since this method exactly generalizes thermodynamics into much wider exponential family cases including quantum entanglement. Starting with the correct first law of…

High Energy Physics - Theory · Physics 2015-08-12 Hiroaki Matsueda