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Related papers: $2$-R\'enyi CCNR Negativity of Compact Boson for m…

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In this paper, we study the symmetry decomposition of R\'enyi negativity into charge imbalance sectors for the 1+1 dimensional free compact boson field with a global U(1) symmetry in the ground state for the case of two disjoint intervals.…

High Energy Physics - Theory · Physics 2023-02-17 Himanshu Gaur , Urjit A. Yajnik

We investigate how entanglement in the mixed state of a quantum field theory can be described using the cross-computable norm or realignment (CCNR) criterion, employing a recently introduced negativity. We study its symmetry resolution for…

High Energy Physics - Theory · Physics 2024-02-07 Andrea Bruno , Filiberto Ares , Sara Murciano , Pasquale Calabrese

We study multi-charged moments and symmetry-resolved R\'enyi entropy of free compact boson for multiple disjoint intervals. The R\'enyi entropy evaluation involves computing the partition function of the theory on Riemann surfaces with…

High Energy Physics - Theory · Physics 2024-01-11 Himanshu Gaur , Urjit A. Yajnik

We calculate the $N$ interval replicated negativity for the Ising and free compact boson conformal field theory using correlation functions of branch point twist fields. For some subset $P\subset N$, this is a calculation of…

High Energy Physics - Theory · Physics 2022-10-06 Gavin Rockwood

We study the R\'enyi entropies of N disjoint intervals in the conformal field theories given by the free compactified boson and the Ising model. They are computed as the 2N point function of twist fields, by employing the partition function…

High Energy Physics - Theory · Physics 2014-01-27 Andrea Coser , Luca Tagliacozzo , Erik Tonni

The Computable Cross Norm (CCNR) was recently discussed in Ref.~\cite{Yin:2022toc} as a measure of multipartite entanglement in a condensed matter context. In this short note, we point out that it is closely related to the $(2,n)$-R\'enyi…

High Energy Physics - Theory · Physics 2024-12-18 Alexey Milekhin , Pratik Rath , Wayne Weng

We investigate a separability criterion based on the computable cross-norm (CCNR), and a related quantity called the CCNR negativity. We introduce a reflected version of the CCNR negativity, and discuss its connection with other…

High Energy Physics - Theory · Physics 2023-10-04 Clément Berthiere , Gilles Parez

We study the multi-charged moments for two disjoint intervals in the ground state of two $1+1$ dimensional CFTs with central charge $c=1$ and global $U(1)$ symmetry: the massless Dirac field theory and the compact boson (Luttinger liquid).…

High Energy Physics - Theory · Physics 2022-12-27 Filiberto Ares , Pasquale Calabrese , Giuseppe Di Giulio , Sara Murciano

We investigate the second R\'enyi entropy of two intervals in the massless Thirring model describing a self-interacting Dirac fermion in two dimensions. Boson-fermion duality relating this model to a free compact boson theory enables us to…

High Energy Physics - Theory · Physics 2023-12-19 Harunobu Fujimura , Tatsuma Nishioka , Soichiro Shimamori

The entanglement entropy and the logarithmic negativity can be computed in quantum field theory through a method based on the replica limit. Performing these analytic continuations in some cases is beyond our current knowledge, even for…

Statistical Mechanics · Physics 2015-06-18 Cristiano De Nobili , Andrea Coser , Erik Tonni

We compute the $N=2$ R\'enyi entanglement entropy of two intervals at equal time in a circle, for the theory of a 2d compact complex free scalar at finite temperature. This is carried out by performing functional integral on a genus 3…

High Energy Physics - Theory · Physics 2016-02-17 Feihu Liu , Xiao Liu

We consider the ground state of a theory composed by $M$ species of massless complex bosons in one dimension coupled together via a conformal interface. We compute both the R\'enyi entropy and the negativity of a generic partition of wires,…

High Energy Physics - Theory · Physics 2022-11-30 Luca Capizzi , Sara Murciano , Pasquale Calabrese

We investigate the R\'enyi entanglement entropies for the one-dimensional massless free boson compactified on a circle, which describes the low energy sector of several interacting many-body 1d systems (Luttinger Liquid). We focus on…

Statistical Mechanics · Physics 2019-10-25 Alvise Bastianello

We calculate the amount of entanglement shared by two intervals in the ground state of a (1+1)-dimensional conformal field theory (CFT), quantified by an entanglement measure $\mathcal{E}$ based on the computable cross norm (CCNR)…

Statistical Mechanics · Physics 2023-03-28 Chao Yin , Zhenhuan Liu

Renyi entropy with multiple disjoint intervals are computed from the improved swapping operations by two methods: one is from the direct diagonalization of the Hamiltonian and the other one is from the state-of-the-art machine learning…

Statistical Mechanics · Physics 2025-10-30 Han-Qing Shi , Hai-Qing Zhang

We investigate the ground state of a (1+1)-dimensional conformal field theory built with $M$ species of massless free Dirac fermions coupled at one boundary point via a conformal junction/interface. Each CFT represents a wire of finite…

High Energy Physics - Theory · Physics 2022-09-21 Luca Capizzi , Sara Murciano , Pasquale Calabrese

Entanglement (Renyi) entropies of spatial regions are a useful tool for characterizing the ground states of quantum field theories. In this paper we investigate the extent to which these are universal quantities for a given theory, and to…

High Energy Physics - Theory · Physics 2013-03-18 Matthew Headrick , Albion Lawrence , Matthew M. Roberts

We study the scaling of the Renyi entanglement entropy of two disjoint blocks of critical lattice models described by conformal field theories with central charge c=1. We provide the analytic conformal field theory result for the second…

Statistical Mechanics · Physics 2015-03-19 Vincenzo Alba , Luca Tagliacozzo , Pasquale Calabrese

Two-dimensional conformal field theories with a large central charge and a small number of low-dimension operators are studied using the conformal block expansion. A universal formula is derived for the Renyi entropies of N disjoint…

High Energy Physics - Theory · Physics 2013-03-29 Thomas Hartman

We develop a general theory for computing the Renyi entropy with general multiple disjoint intervals from the swapping operations. Our theory is proposed based on the fact that we have observed the resemblance between the replica trick in…

Statistical Mechanics · Physics 2026-04-03 Han-Qing Shi , Hai-Qing Zhang
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