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Related papers: Quantum Dimension as Entanglement Entropy in 2D CF…

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In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its…

High Energy Physics - Theory · Physics 2017-05-30 Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe

The excess entanglement resulting from exciting a finite number of quasiparticles above the ground state of a free integrable quantum field theory has been investigated quite extensively in the literature. It has been found that it takes a…

High Energy Physics - Theory · Physics 2023-01-18 Luca Capizzi , Olalla A. Castro-Alvaredo , Cecilia De Fazio , Michele Mazzoni , Lucía Santamaría-Sanz

We report a throughout analysis of the entanglement entropies related to different symmetry sectors in the low-lying primary excited states of a conformal field theory (CFT) with an internal U(1) symmetry. Our findings extend recent results…

Statistical Mechanics · Physics 2020-07-28 Luca Capizzi , Paola Ruggiero , Pasquale Calabrese

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 consider the relative entropy between vacuum states of two different theories: a conformal field theory (CFT), and the CFT perturbed by a relevant operator. By restricting both states to the null Cauchy surface in the causal domain of a…

High Energy Physics - Theory · Physics 2017-04-05 Horacio Casini , Eduardo Teste , Gonzalo Torroba

After a brief introduction to the concept of entanglement in quantum systems, I apply these ideas to many-body systems and show that the von Neumann entropy is an effective way of characterising the entanglement between the degrees of…

Statistical Mechanics · Physics 2009-11-13 John Cardy

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

We study entanglement via the subsystem purity relative to bipartitions of arbitrary excited states in (1+1)-dimensional conformal field theory, equivalent to the scaling limit of one dimensional quantum critical systems. We compute the…

High Energy Physics - Theory · Physics 2014-10-15 T. Pálmai

We consider a conformal field theory in two dimensions in which an external perturbation is placed. We study the energy flux and entanglement entropy for one, two and multiple intervals and give a suggestion relating the two in some cases.…

High Energy Physics - Theory · Physics 2017-11-01 Talya Vaknin

We study entanglement entropy after a double local quench in two-dimensional conformal field theories (CFTs), with any central charge $c>1$. In the holographic CFT, such a state with double-excitation is dual to an AdS space with two…

High Energy Physics - Theory · Physics 2020-02-19 Yuya Kusuki , Masamichi Miyaji

We compare the time evolution of entanglement measures after local operator excitation in the critical Ising model with predictions from conformal field theory. For the spin operator and its descendants we find that Renyi entropies of a…

Strongly Correlated Electrons · Physics 2017-01-10 Pawel Caputa , Marek M. Rams

In this paper we discuss the topics concerning the local excitation and coherent state in 2D CFT. It is shown that the local excitation of primary operator can be taken as a coherent state of the global conformal group. We also discuss the…

High Energy Physics - Theory · Physics 2015-12-15 Wu-Zhong Guo

We analyze how excitations affect the entanglement entropy for an arbitrary entangling interval in a 2d conformal field theory (CFT) using the holographic entanglement entropy techniques as well as direct CFT computations. We introduce the…

High Energy Physics - Theory · Physics 2018-01-16 M. M. Sheikh-Jabbari , H. Yavartanoo

We investigate the entanglement and the R\'enyi entropies of two electronic leads connected by a quantum point contact. For non-interacting electrons, the entropies can be related to the cumulants of the full counting statistics of…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 Konrad H. Thomas , Christian Flindt

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…

High Energy Physics - Theory · Physics 2019-04-11 Luis Apolo , Song He , Wei Song , Jianfei Xu , Junjie Zheng

We investigate the entanglement properties of an infinite class of excited states in the quantum Lifshitz model (QLM). The presence of a conformal quantum critical point in the QLM makes it unusually tractable for a model above one spatial…

Statistical Mechanics · Physics 2017-06-19 Daniel E. Parker , Romain Vasseur , Joel E. Moore

In the framework of Algebraic Quantum Field Theory, several operator algebraic notions of entanglement entropy can be associated with any pair of causally disjoint spacetime regions $\mathcal{S}_A$ and $\mathcal{S}_B$ with positive relative…

Quantum Physics · Physics 2026-01-28 Lorenzo Panebianco , Benedikt Wegener

In this paper we study the time evolution of (Renyi) entanglement entropies for locally excited states in four dimensional free massless fermionic field theory. Locally excited states are defined by being acted by various local operators on…

High Energy Physics - Theory · Physics 2016-03-23 Masahiro Nozaki , Tokiro Numasawa , Shunji Matsuura

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…

High Energy Physics - Theory · Physics 2016-05-25 Pawel Caputa , Masahiro Nozaki , Tokiro Numasawa

A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri V. Fursaev