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相关论文: Universal Thermal Corrections to Single Interval E…

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We consider entanglement entropy of a cap-like region for a conformal field theory living on a sphere times a circle in d space-time dimensions. Assuming that the finite size of the system introduces a unique ground state with a nonzero…

高能物理 - 理论 · 物理学 2015-06-22 Christopher P. Herzog

We consider the symmetry-resolved R\'{e}nyi and entanglement entropies for two-dimensional conformal field theories on a circle at nonzero temperature. We assume a unique ground state with a nonzero mass gap induced by the system's finite…

高能物理 - 理论 · 物理学 2023-06-14 Mostafa Ghasemi

We compute thermal corrections to R\'enyi entropies of $d$ dimensional conformal field theories on spheres. Consider the $n$th R\'enyi entropy for a cap of opening angle $2 \theta$ on $S^{d-1}$. From a Boltzmann sum decomposition and the…

高能物理 - 理论 · 物理学 2021-07-02 Christopher P. Herzog , Jun Nian

We calculate the thermal correction to the entanglement spectrum for separating a single interval of two dimensional conformal field theories. Our derivation is a direct extension of the thermal correction to the R\'enyi entropy. Within a…

高能物理 - 理论 · 物理学 2022-09-07 Yin Tang , Qicheng Tang , W. Zhu

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

高能物理 - 理论 · 物理学 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

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 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

In the study of three-dimensional flat holography, the BMS field theory manifests the infinite-dimensional BMS$_3$ symmetry, a powerful tool in elucidating numerous universal phenomena. This paper explores a certain low-temperature limit of…

高能物理 - 理论 · 物理学 2024-03-18 Yuan Zhong

We present a general method for calculating R\'enyi entropies in the ground state of a one-dimensional critical system with mixed open boundaries, for an interval starting at one of its ends. In the conformal field theory framework, this…

统计力学 · 物理学 2025-11-12 Benoit Estienne , Yacine Ikhlef , Andrei Rotaru

We consider conformal field theories in 1+1 dimensions with W-algebra symmetries, deformed by a chemical potential \mu for the spin-three current. We show that the order \mu^2 correction to the Re'nyi and entanglement entropies of a single…

高能物理 - 理论 · 物理学 2014-08-13 Shouvik Datta , Justin R. David , Michael Ferlaino , S. Prem Kumar

In this paper, we reconsider the single interval R\'enyi entropy of a free compact scalar on a torus. In this case, the contribution to the entropy could be decomposed into classical part and quantum part. The classical part includes the…

高能物理 - 理论 · 物理学 2015-05-27 Bin Chen , Jie-qiang Wu

Entanglement and the R\'enyi entropies for Dirac fermions on 2 dimensional torus in the presence of chemical potential, current source, and topological Wilson loop are unified in a single framework by exhausting all the ingredients of the…

高能物理 - 理论 · 物理学 2022-01-19 Bom Soo Kim

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with…

高能物理 - 理论 · 物理学 2017-12-20 Yuichiro Nakai , Noburo Shiba , Masaki Yamada

In this paper, we calculate the R\'enyi entropy of one single interval on a circle at finite temperature in 2D CFT. In the low temperature limit, we expand the thermal density matrix level by level in the vacuum Verma module, and calculate…

高能物理 - 理论 · 物理学 2015-06-19 Bin Chen , Jie-qiang Wu

We present a general theory of the corrections to the asymptotic behaviour of the Renyi entropies which measure the entanglement of an interval A of length L with the rest of an infinite one-dimensional system, in the case when this is…

统计力学 · 物理学 2011-02-16 John Cardy , Pasquale Calabrese

We review the conformal field theory approach to entanglement entropy. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and the generalization to different situations such as finite…

统计力学 · 物理学 2009-12-08 Pasquale Calabrese , John Cardy

We use the thermal effective theory to prove that, for the vacuum state in any conformal field theory in $d$ dimensions, the $n$-th R\'enyi entropy $S_A^{(n)}$ behaves as $S_A^{(n)} = \frac{f}{(2\pi n)^{d-1}} \frac{ {\rm Area}(\partial…

高能物理 - 理论 · 物理学 2025-04-09 Yuya Kusuki , Hirosi Ooguri , Sridip Pal

We study how the universal contribution to entanglement entropy in a conformal field theory depends on the entangling region. We show that for a deformed sphere the variation of the universal contribution is quadratic in the deformation…

高能物理 - 理论 · 物理学 2015-02-17 Andrea Allais , Márk Mezei

R\'enyi entanglement entropy provides a new window to study the AdS/CFT correspondence. In this paper we consider the short interval expansion of R\'enyi entanglement entropy in two-dimensional conformal field theory. This amounts to do the…

高能物理 - 理论 · 物理学 2013-12-19 Bin Chen , Jia-ju Zhang

We investigate the R\'enyi entropy and entanglement entropy of an interval with an arbitrary length in the canonical ensemble, microcanonical ensemble and primary excited states at large energy density in the thermodynamic limit of a…

高能物理 - 理论 · 物理学 2019-08-08 Wu-zhong Guo , Feng-Li Lin , Jiaju Zhang
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