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We study the behaviour of \SU{2} Yang-Mills fields on a $T_2\times R^2$ geometry where the two-torus is equipped with twisted boundary conditions. We monitor the evolution of the dynamics of the system as a function of the torus size $l_s$.…

高能物理 - 格点 · 物理学 2025-05-16 Georg Bergner , Antonio González-Arroyo , Ivan Soler

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

Operationally accessible entanglement in bipartite systems of indistinguishable particles could be reduced due to restrictions on the allowed local operations as a result of particle number conservation. In order to quantify this effect,…

量子气体 · 物理学 2018-10-17 Hatem Barghathi , C. M. Herdman , Adrian Del Maestro

We compute the supersymmetric R\'enyi entropies across a spherical entanglement surface in N=4 SU(N) SYM theory using localization on the four-dimensional ellipsoid. We extract the leading result at large N and \lambda, and match its…

高能物理 - 理论 · 物理学 2015-06-22 Michael Crossley , Ethan Dyer , Julian Sonner

In a recent work [Ge {\it et al.}, arXiv: 2312. 17496 (2023)], we have derived the polygon relation of bipartite entanglement measures that is useful to reveal the entanglement properties of discrete, continuous, and even hybrid…

量子物理 · 物理学 2024-09-05 Lijun Liu , Xiaozhen Ge , Shuming Cheng

A four-dimensional analog of Chern-Simons theory produces integrable lattice models from Wilson lines and surface operators. We show that this theory describes a quasi-topological sector of maximally supersymmetric Yang-Mills theory in six…

高能物理 - 理论 · 物理学 2021-09-30 Kevin Costello , Junya Yagi

Entanglement criteria for an $n$-partite quantum system with continuous variables are formulated in terms of R\'{e}nyi entropies. R\'{e}nyi entropies are widely used as a good information measure due to many nice properties. Derived…

量子物理 · 物理学 2017-05-22 Alexey E. Rastegin

We systematically investigate the finite size scaling behavior of the R\'enyi entanglement entropy (EE) of several representative 2d quantum many-body systems between a subregion and its complement, with smooth boundaries as well as…

强关联电子 · 物理学 2024-07-18 Menghan Song , Jiarui Zhao , Zi Yang Meng , Cenke Xu , Meng Cheng

In this work, we study the real-time evolution of pseudo-(R\'enyi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs). We focus on states obtained by acting primary operators located at…

高能物理 - 理论 · 物理学 2022-09-28 Wu-zhong Guo , Song He , Yu-Xuan Zhang

We calculate the topological entanglement entropy (TEE) for a three-dimensional hyperhoneycomb lattice generalization of Kitaev's honeycomb lattice spin model. We find that for this model TEE is not directly determined by the total quantum…

强关联电子 · 物理学 2018-09-26 N. C. Randeep , Naveen Surendran

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

A generic scheme is proposed to investigate the entanglement entropy for a type of scale-invariant states, valid for orthonormal basis states in the ground state subspace of quantum many-body systems undergoing spontaneous symmetry breaking…

统计力学 · 物理学 2024-12-10 Huan-Qiang Zhou , Qian-Qian Shi , Ian P. McCulloch , Murray T. Batchelor

In this paper we develop a new approach to the investigation of the bi-partite entanglement entropy in integrable quantum spin chains. Our method employs the well-known replica trick, thus taking a replica version of the spin chain model as…

高能物理 - 理论 · 物理学 2011-02-18 Olalla A. Castro-Alvaredo , Benjamin Doyon

We study refined topological string theory in the presence of orientifolds by counting second-quantized BPS states in M-theory. This leads us to propose a new integrality condition for both refined and unrefined topological strings when…

高能物理 - 理论 · 物理学 2015-06-04 Mina Aganagic , Kevin Schaeffer

We consider the second R\'enyi entropy $S^{(2)}$ in pure lattice gauge theory with $SU(2)$, $SU(3)$ and $SU(4)$ gauge groups, which serves as a first approximation for the entanglement entropy and the entropic $C$-function. We compare the…

高能物理 - 格点 · 物理学 2019-10-28 Andreas Rabenstein , Norbert Bodendorfer , Pavel Buividovich , Andreas Schäfer

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

量子物理 · 物理学 2022-07-14 Nick G. Jones

We derive the entanglement entropy of chiral fermions on the circle at arbitrary temperature. The spin-sector contribution depends only on the total length of the entangling region, regardless of the configuration of the intervals. Thus…

高能物理 - 理论 · 物理学 2019-11-27 Pascal Fries , Ignacio A. Reyes

Entropy is a quantity for counting physical degrees of freedom in a system. At a finite temperature, one can use thermal entropy to study thermodynamical properties. At zero temperature, entanglement entropy is expected to provide a…

高能物理 - 理论 · 物理学 2018-10-29 Chen-Te Ma

We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Such systems can be thought of as generalizations of the XY…

数学物理 · 物理学 2009-11-13 A. R. Its , F. Mezzadri , M. Y. Mo

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