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相关论文: $2$-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.…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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).…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

统计力学 · 物理学 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…

高能物理 - 理论 · 物理学 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,…

高能物理 - 理论 · 物理学 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…

统计力学 · 物理学 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)…

统计力学 · 物理学 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…

统计力学 · 物理学 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…

高能物理 - 理论 · 物理学 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…

高能物理 - 理论 · 物理学 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…

统计力学 · 物理学 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…

高能物理 - 理论 · 物理学 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…

统计力学 · 物理学 2026-04-03 Han-Qing Shi , Hai-Qing Zhang
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