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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

We discuss the Renyi entanglement entropies of descendant states in critical one-dimensional systems with boundaries, that map to boundary conformal field theories in the scaling limit. We unify the previous conformal-field-theory…

统计力学 · 物理学 2016-09-27 Luca Taddia , Fabio Ortolani , Tamás Pálmai

In this paper we study the scaling of the correction of the Renyi entropy of the excited states in systems described, in the continuum limit, by a conformal field theory (CFT). These corrections scale as $L^{-\frac{2\Delta}{n}}$, where $L$…

统计力学 · 物理学 2016-01-11 Lorenzo Cevolani

Entanglement entropy has proven invaluable to our understanding of quantum criticality. It is natural to try to extend the concept to non-unitary quantum mechanics, which has seen growing interest from areas as diverse as open quantum…

统计力学 · 物理学 2017-08-02 Romain Couvreur , Jesper Lykke Jacobsen , Hubert Saleur

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

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 entanglement entropies in one-dimensional open critical systems, whose effective description is given by a conformal field theory with boundaries. We show that for pure-state systems formed by the ground state or by the excited…

统计力学 · 物理学 2013-09-02 L. Taddia , J. C. Xavier , F. C. Alcaraz , G. Sierra

In this paper, we consider the R\'enyi entanglement asymmetry of excited states in the 1+1 dimensional free compact boson conformal field theory (CFT) at equilibrium. We obtain a universal CFT expression written by correlation functions for…

高能物理 - 理论 · 物理学 2023-12-19 Miao Chen , Hui-Huang Chen

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

We study entanglement entropy of excited states in two dimensional conformal field theories (CFTs). Especially we consider excited states obtained by acting primary operators on a vacuum. We show that under its time evolution, entanglement…

高能物理 - 理论 · 物理学 2014-08-20 Song He , Tokiro Numasawa , Tadashi Takayanagi , Kento Watanabe

For a conformal field theory (CFT) deformed by a relevant operator, the entanglement entropy of a ball-shaped region may be computed as a perturbative expansion in the coupling. A similar perturbative expansion exists for excited states…

高能物理 - 理论 · 物理学 2016-05-04 Antony J. Speranza

We argue that the usual notions of thermodynamic and entanglement entropy have novel analogs in the context of higher spin theories. In particular, the Wald and Ryu-Takayanagi formulas have natural higher spin extensions that we work out…

高能物理 - 理论 · 物理学 2015-06-19 Eliot Hijano , Per Kraus

In this work we study the time evolutions of (Renyi) entanglement entropy of locally excited states in two dimensional conformal field theories (CFTs) at finite temperature. We consider excited states created by acting with local operators…

高能物理 - 理论 · 物理学 2015-06-23 Pawel Caputa , Joan Simon , Andrius Stikonas , Tadashi Takayanagi

We present a detailed discussion of entanglement entropy in (1+1)-dimensional Warped Conformal Field Theories (WCFTs). We implement the Rindler method to evaluate entanglement and Renyi entropies for a single interval and along the way we…

高能物理 - 理论 · 物理学 2017-01-19 Alejandra Castro , Diego M. Hofman , Nabil Iqbal

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 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

We investigate crossing behavior of ground state entanglement Renyi entropies of quantum critical systems. We find a novel property that the ground state in one quantum phase cannot be locally transferred to that of another phase, that…

量子物理 · 物理学 2010-12-23 Jian Cui , Jun-Peng Cao , Heng Fan

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…

统计力学 · 物理学 2020-07-28 Luca Capizzi , Paola Ruggiero , Pasquale Calabrese

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

For quantum critical spin chains without disorder, it is known that the entanglement of a segment of N>>1 spins with the remainder is logarithmic in N with a prefactor fixed by the central charge of the associated conformal field theory. We…

无序系统与神经网络 · 物理学 2009-11-10 G. Refael , J. E. Moore
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