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We argue that the entanglement of purification for two dimensional holographic CFT can be obtained from conformal blocks with internal twist operators. First, we explain our formula from the view point of tensor network model of holography.…

High Energy Physics - Theory · Physics 2019-12-06 Hayato Hirai , Kotaro Tamaoka , Tsuyoshi Yokoya

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal field theories can be obtained from the…

High Energy Physics - Theory · Physics 2014-11-18 Shinsei Ryu , Tadashi Takayanagi

In this paper we study the conjectural relation between confinement in a quantum field theory and the presence of a phase transition in its corresponding entanglement entropy. We determine the sufficient conditions for the latter and…

High Energy Physics - Theory · Physics 2015-06-19 Uri Kol , Carlos Nunez , Daniel Schofield , Jacob Sonnenschein , Michael Warschawski

We investigate quantum phase transitions in which a change in the type of entanglement from bound entanglement to either free entanglement or separability may occur. In particular, we present a theoretical method to construct a class of…

Quantum Physics · Physics 2010-04-08 S. Baghbanzadeh , S. Alipour , A. T. Rezakhani

We apply a suitable replica technique to develop a perturbative expression for the entanglement negativity of bipartite mixed states in T$\overline{\text{T}}$-deformed CFT$_2$s up to the first order in the deformation parameter. Utilizing…

High Energy Physics - Theory · Physics 2026-02-25 Debarshi Basu , Lavish Chawla , Boudhayan Paul

In this work, we study analytically the phase transitions in quasi-periodically driven one dimensional quantum critical systems that are described by conformal field theories (CFTs). The phase diagrams and phase transitions can be…

Statistical Mechanics · Physics 2025-03-13 Jiyuan Fang , Qi Zhou , Xueda Wen

Multipartite entanglement is a key resource for quantum computation. It is expected theoretically that entanglement transition may happen for multipartite random quantum states, however, which is still absent experimentally. Here, we report…

Entanglement entropy (EE) provides a powerful probe of quantum phases, yet its role in identifying topological phase transitions in disordered systems remains underexplored. We introduce an exact EE-based framework that captures topological…

Strongly Correlated Electrons · Physics 2026-04-09 Manish Kumar , Bharadwaj Vedula , Suhas Gangadharaiah , Auditya Sharma

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

We discuss the change of the boundary entropy under an ambient renormalization group flow. We use conformal perturbation theory to calculate the change of the boundary entropy for $d$-dimensional BCFTs between two nearby fixed points. We…

High Energy Physics - Theory · Physics 2020-07-01 Yoshiki Sato

As a generalization of entanglement entropy, pseudo entropy is not always real. The real-valued pseudo entropy has promising applications in holography and quantum phase transition. We apply the notion of pseudo-Hermticity to formulate the…

High Energy Physics - Theory · Physics 2023-05-24 Wu-zhong Guo , Song He , Yu-Xuan Zhang

We examine the behavior of the entanglement asymmetry in the ground state of a (1+1)-dimensional conformal field theory with a boundary condition that explicitly breaks a bulk symmetry. Our focus is on the asymmetry of a subsystem $A$…

High Energy Physics - Theory · Physics 2024-11-25 Michele Fossati , Colin Rylands , Pasquale Calabrese

We present a perturbative method to compute the ground state entanglement entropy for interacting systems. We apply it to a collective model of mutually interacting spins in a magnetic field. At the quantum critical point, the entanglement…

Statistical Mechanics · Physics 2010-05-11 T. Barthel , S. Dusuel , J. Vidal

We study the time evolution of the entanglement structure of holographic conformal field theories after a local quench. Using the mutual information between two spatial intervals as a probe, we find that $1+1$-dimensional conformal field…

High Energy Physics - Theory · Physics 2026-05-29 Joseph Dominicus Lap , Jad C. Halimeh , David Horn , Lukas Ebner , Clemens Seidl , Berndt Müller , Andreas Schäfer , Jakob Minar

We consider (2+1)-dimensional topological quantum states which possess edge states described by a chiral (1+1)-dimensional Conformal Field Theory (CFT), such as e.g. a general quantum Hall state. We demonstrate that for such states the…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 Xiao-Liang Qi , Hosho Katsura , Andreas W. W. Ludwig

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

In this paper we calculate the entanglement entropy of two coupled gapless systems in general spatial dimension d. The gapless systems can be either conformal field theories (CFT), or Fermi liquids. We assume the two systems are coupled…

Strongly Correlated Electrons · Physics 2015-05-27 Cenke Xu

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

Renormalized entanglement entropy can be defined using the replica trick for any choice of renormalization scheme; renormalized entanglement entropy in holographic settings is expressed in terms of renormalized areas of extremal surfaces.…

High Energy Physics - Theory · Physics 2021-12-28 Marika Taylor , Linus Too

It is believed that thermalization drives the reduced density matrix of a subsystem to approach a short-range entangled operator. If the initial state is also short-range entangled, it is possible that the reduced density matrix remains…

High Energy Physics - Theory · Physics 2020-01-29 Huajia Wang , Tianci Zhou