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We study the relative R\'enyi entropy (RRE) under local quenches in two-dimensional conformal field theories (CFTs), focusing on rational CFTs (RCFTs) and holographic CFTs. In RCFTs, the RRE evolves as a monotonic function over time,…

高能物理 - 理论 · 物理学 2025-12-22 Zi-Xuan Zhao , Song He , Hao Ouyang , Hong-an Zeng , Yu-Xuan Zhang

We give a recipe for computing correlation functions of the displacement operator localized on a spherical or planar higher dimensional twist defect using AdS/CFT. Such twist operators are typically used to construct the $n$'th Renyi…

高能物理 - 理论 · 物理学 2017-09-06 Srivatsan Balakrishnan , Souvik Dutta , Thomas Faulkner

In this note, we consider entanglement and Renyi entropies for spatial subsystems of a boundary conformal field theory (BCFT) or of a CFT in a state constructed using a Euclidean BCFT path integral. Holographic calculations suggest that…

高能物理 - 理论 · 物理学 2021-03-31 James Sully , Mark Van Raamsdonk , David Wakeham

We describe the defect operator interpretation of the supersymmetric Renyi entropies of superconformal field theories in three, four and five dimensions. The operators involved are supersymmetric codimension-two defects in an auxiliary Z_n…

高能物理 - 理论 · 物理学 2017-12-06 Tatsuma Nishioka , Itamar Yaakov

We study the time evolution of Renyi entanglement entropy for locally excited states in two dimensional large central charge CFTs. It generically shows a logarithmical growth and we compute the coefficient of $\log t$ term. Our analysis…

高能物理 - 理论 · 物理学 2018-03-14 Yuya Kusuki , Tadashi Takayanagi

We present a new type of generalization of the Renyi entropy that follows naturally from its representation as a thermodynamic quantity. We apply it to the case of d-dimensional conformal field theories (CFTs) reduced on a region bounded by…

高能物理 - 理论 · 物理学 2019-05-29 Clifford V. Johnson

We investigate the time evolution of the subsystem trace distance and Schatten distances after local operator quenches in two-dimensional conformal field theory (CFT) and in one-dimensional quantum spin chains. We focus on the case of a…

高能物理 - 理论 · 物理学 2020-02-14 Jiaju Zhang , Pasquale Calabrese

We extend and refine recent results on Renyi entropy in two-dimensional conformal field theories at large central charge. To do so, we examine the effects of higher spin symmetry and of allowing unequal left and right central charges, at…

高能物理 - 理论 · 物理学 2015-06-18 Eric Perlmutter

We study the time evolution of single interval Renyi and entanglement entropies following local quantum quenches in two dimensional conformal field theories at finite temperature for which the locally excited states have a finite temporal…

高能物理 - 理论 · 物理学 2016-09-21 Justin R. David , Surbhi Khetrapal , S. Prem Kumar

Various aspects of warped conformal field theories (WCFTs) are studied including entanglement entropy on excited states, the Renyi entropy after a local quench, and out-of-time-order four-point functions. Assuming a large central charge and…

高能物理 - 理论 · 物理学 2019-04-11 Luis Apolo , Song He , Wei Song , Jianfei Xu , Junjie Zheng

In this work, we study the real-time evolution of pseudo-(R\'enyi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs). We focus on states obtained by acting primary operators located at…

高能物理 - 理论 · 物理学 2022-09-28 Wu-zhong Guo , Song He , Yu-Xuan Zhang

We investigate the question of whether the entropy and the Renyi entropies of the vacuum state reduced to a region of the space can be represented in terms of correlators in quantum field theory. In this case, the positivity relations for…

量子物理 · 物理学 2014-11-20 H. Casini

In this work we consider the time evolution of charged Renyi entanglement entropies after exciting the vacuum with local fermionic operators. In order to explore the information contained in charged Renyi entropies, we perform computations…

高能物理 - 理论 · 物理学 2016-05-25 Pawel Caputa , Masahiro Nozaki , Tokiro Numasawa

We compute the Renyi entropy in a one-dimensional transverse-field quantum Ising model by employing a swapping operator acting on the states which are prepared from the neural network methods. In the static ground state, Renyi entropy can…

无序系统与神经网络 · 物理学 2024-03-15 Han-Qing Shi , Hai-Qing Zhang

We study Renyi and von-Neumann entanglement entropy of excited states created by local operators in large N (or large central charge) CFTs. First we point that a naive large N expansion can break down for the von-Neumann entanglement…

高能物理 - 理论 · 物理学 2014-09-24 Pawel Caputa , Masahiro Nozaki , Tadashi Takayanagi

Entropy is a fundamental concept in equilibrium statistical mechanics, yet its origin in the non-equilibrium dynamics of isolated quantum systems is not fully understood. A strong consensus is emerging around the idea that the stationary…

统计力学 · 物理学 2017-09-20 Vincenzo Alba , Pasquale Calabrese

In a quantum critical chain, the scaling regime of the energy and momentum of the ground state and low lying excitations are described by conformal field theory (CFT). The same holds true for the von Neumann and Renyi entropies of the…

统计力学 · 物理学 2011-05-23 Francisco Castilho Alcaraz , Miguel Ibanez Berganza , German Sierra

Ryu and Takayanagi conjectured a formula for the entanglement (von Neumann) entropy of an arbitrary spatial region in an arbitrary holographic field theory. The von Neumann entropy is a special case of a more general class of entropies…

高能物理 - 理论 · 物理学 2013-01-04 Matthew Headrick

We study the two point correlation function of a local operator on an $n$-sheeted replica manifold corresponding to the half-space in the vacuum state of a conformal field theory. In analogy with the inverse Laplace transform, we define the…

高能物理 - 理论 · 物理学 2023-01-18 Milind Shyani

We study the dynamics of (R\'enyi) mutual information, logarithmic negativity, and (R\'enyi) reflected entropy after exciting the ground state by a local operator. Together with recent results from Ref. [1], we are able to conjecture a…

高能物理 - 理论 · 物理学 2021-03-31 Jonah Kudler-Flam , Yuya Kusuki , Shinsei Ryu
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