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In this paper we discuss behaviors of entanglement entropy between two interacting CFTs and its holographic interpretation using the AdS/CFT correspondence. We explicitly perform analytical calculations of entanglement entropy between two…

High Energy Physics - Theory · Physics 2015-06-19 Ali Mollabashi , Noburo Shiba , Tadashi Takayanagi

A formidable perspective in understanding quantum criticality of a given many-body system is through its entanglement contents. Until now, most progress are only limited to the disorder-free case. Here, we develop an efficient scheme to…

Strongly Correlated Electrons · Physics 2022-12-01 Qicheng Tang , W. Zhu

In this paper, we discuss the entanglement phase transition of pseudo entropy in CFTs. We focus on the case where the in-state and the out-state are different boundary states related by boundary condition changing operators. We compute the…

High Energy Physics - Theory · Physics 2026-03-13 Hiroki Kanda , Tadashi Takayanagi , Zixia Wei

We study the behaviour of entanglement entropy in two-dimensional CFTs under Weyl transformations from the Weyl anomaly. Using the Ryu-Takayanagi-formula, we show that these deformations correspond to local deformations of the IR cutoff of…

High Energy Physics - Theory · Physics 2022-11-30 Leo Shaposhnik

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

High Energy Physics - Theory · Physics 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi

One cannot always obtain information about entanglement by the D\"ur-Cirac (DC) method. The impracticality is attributed to the decrease of entanglement by local operations in the DC method. We show that, even in 2--qubit systems, there…

Quantum Physics · Physics 2007-05-23 Yukihiro Ota , Motoyuki Yoshida , Ichiro Ohba

In this paper, we investigate the entanglement dynamics induced by a composite operator, defined as the local operator evolved with the time evolution operator constructed of the Euclidean and Lorentzian ones. The systems under…

High Energy Physics - Theory · Physics 2025-08-12 Weibo Mao , Masahiro Nozaki

Entanglement entropies are notoriously difficult to compute. Large-N strongly-coupled holographic CFTs are an important exception, where the AdS/CFT dictionary gives the entanglement entropy of a CFT region in terms of the area of an…

High Energy Physics - Theory · Physics 2017-05-30 Sebastian Fischetti , Toby Wiseman

A quantum critical (QC) fluid exhibits universal subleading corrections to the area law of its entanglement entropies. In two dimensions when the partition involves a corner of angle $\theta$, the subleading term is logarithmic with…

Strongly Correlated Electrons · Physics 2016-09-28 Johannes Helmes , Lauren E. Hayward Sierens , Anushya Chandran , William Witczak-Krempa , Roger G. Melko

We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. Various examples of the topological pseudo entropies are examined in three-dimensional Chern-Simons gauge theory with Wilson loop…

High Energy Physics - Theory · Physics 2021-09-08 Tatsuma Nishioka , Tadashi Takayanagi , Yusuke Taki

We construct a contour function for the entanglement entropies in generic harmonic lattices. In one spatial dimension, numerical analysis are performed by considering harmonic chains with either periodic or Dirichlet boundary conditions. In…

Statistical Mechanics · Physics 2017-08-29 Andrea Coser , Cristiano De Nobili , Erik Tonni

In this paper, we use the replica approach to study the R\'enyi entropy $S_L$ of generic locally excited states in (1+1)D CFTs, which are constructed from the insertion of multiple product of local primary operators on vacuum.…

High Energy Physics - Theory · Physics 2018-06-21 Wu-zhong Guo , Song He , Zhu-Xi Luo

We study odd entanglement entropy (odd entropy in short), a candidate of measure for mixed states holographically dual to the entanglement wedge cross section, in two-dimensional free scalar field theories. Our study is restricted to…

High Energy Physics - Theory · Physics 2020-12-02 Ali Mollabashi , Kotaro Tamaoka

We argue that the entanglement entropy offers us a useful coarse-grained entropy in time-dependent AdS/CFT. We show that the total von-Neumann entropy remains vanishing even when a black hole is created in a gravity dual, being consistent…

High Energy Physics - Theory · Physics 2011-03-17 Tadashi Takayanagi , Tomonori Ugajin

We compute the entanglement entropy and mutual information for two disjoint intervals in two-dimensional conformal field theories as a function of time after a local quench, using the replica trick and boundary conformal field theory. We…

High Energy Physics - Theory · Physics 2014-04-02 Curtis T. Asplund , Alice Bernamonti

In this paper, we study the entanglement contour in a general excited state in the holographic 2d CFT using the partial entanglement entropy proposal. We show how thermodynamics fixes the entanglement contour relating it to the first law of…

High Energy Physics - Theory · Physics 2021-05-28 Dmitry S. Ageev

We study thermalization in the holographic (1+1)-dimensional CFT after simultaneous generation of two high-energy excitations in the antipodal points on the circle. The holographic picture of such quantum quench is the creation of BTZ black…

High Energy Physics - Theory · Physics 2017-10-11 Irina Ya. Aref'eva , Mikhail A. Khramtsov , Maria D. Tikhanovskaya

We calculate the time evolution of the entanglement entropy in a 1+1 CFT with a holographic dual when there is a localized left-moving packet of energy density. We find the gravity result agrees with a field theory result derived from the…

High Energy Physics - Theory · Physics 2013-07-10 Matthew M. Roberts

An entanglement measure for a bipartite quantum system is a state functional that vanishes on separable states and that does not increase under separable (local) operations. It is well-known that for pure states, essentially all…

Quantum Physics · Physics 2025-08-22 Stefan Hollands , Ko Sanders

We explore non-equilibrium processes in two-dimensional conformal field theories (2d CFTs) due to the growth of operators induced by inhomogeneous and homogeneous Hamiltonians by investigating the time dependence of the partition function,…

High Energy Physics - Theory · Physics 2024-08-02 Weibo Mao , Masahiro Nozaki , Kotaro Tamaoka , Mao Tian Tan