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The geometric entanglement entropy of a quantum field in the vacuum state is known to be divergent and, when regularized, to scale as the area of the boundary of the region. Here we introduce an operational definition of the entropy of the…

高能物理 - 理论 · 物理学 2019-04-10 Eugenio Bianchi , Alejandro Satz

This work presents a study of the entanglement entropy (EE) in a class of four-dimensional ${\cal N}=1$ linear quiver SCFTs deformed by the presence of a VEV. We review the holographic backgrounds dual to these theories, and calculate the…

高能物理 - 理论 · 物理学 2025-09-25 Dimitrios Chatzis , Ali Fatemiabhari , Mauro Giliberti , Madison Hammond

We use holographic duality to study the entanglement entropy (EE) of Conformal Field Theories (CFTs) in various spacetime dimensions $d$, in the presence of various deformations: a relevant Lorentz scalar operator with constant source, a…

高能物理 - 理论 · 物理学 2017-11-22 Nikola I. Gushterov , Andy O'Bannon , Ronnie Rodgers

The entanglement entropy (EE) encodes key properties of quantum many-body systems. It is usually calculated for subregions of finite volume (or area in 2d). In this work, we study the EE of skeletal regions that have \textit{no} volume,…

强关联电子 · 物理学 2022-09-07 Clément Berthiere , William Witczak-Krempa

We investigate the entanglement entropy in 1+1-dimensional $SU(N)$ gauge theories with various matter fields using the lattice regularization. Here we use extended Hilbert space definition for entanglement entropy, which contains three…

高能物理 - 理论 · 物理学 2017-09-06 Sinya Aoki , Norihiro Iizuka , Kotaro Tamaoka , Tsuyoshi Yokoya

The subleading corner logarithmic corrections in entanglement entropy (EE) are crucial for revealing universal characteristics of the quantum critical points (QCPs), but they are challenging to detect. Motivated by recent developments in…

强关联电子 · 物理学 2025-03-31 Yuan Da Liao , Menghan Song , Jiarui Zhao , Zi Yang Meng

Time-dependent entanglement entropy (EE) is computed for a single interval in two-dimensional conformal theories from a quenched initial state in the presence of spatial boundaries. The EE is found to be periodic in time with periodicity…

高能物理 - 理论 · 物理学 2016-04-28 Gautam Mandal , Ritam Sinha , Tomonori Ugajin

The entanglement entropy is a fundamental quantity which characterizes the correlations between sub-systems in a larger quantum-mechanical system. For two sub-systems separated by a surface the entanglement entropy is proportional to the…

高能物理 - 理论 · 物理学 2015-05-27 Sergey N. Solodukhin

Entanglement entropies of two-dimensional gapped ground states are expected to satisfy an area law, with a constant correction term known as the topological entanglement entropy (TEE). In many models, the TEE takes a universal value that…

量子物理 · 物理学 2023-11-02 Isaac H. Kim , Michael Levin , Ting-Chun Lin , Daniel Ranard , Bowen Shi

We present a new area law which is associated with the correlator of OPE blocks in higher dimensional conformal field theories (CFTs). The area law shows similar behaviour as black hole entropy or geometric entanglement entropy. It includes…

高能物理 - 理论 · 物理学 2021-03-17 Jiang Long

The aim of the present letter is to find the holographic entanglement entropy (HEE) in 2D holographic superconductors (HSC). Indeed, it is possible to compute the exact form of this entropy due to an advantage of approximate solutions…

高能物理 - 理论 · 物理学 2015-06-19 Davood Momeni , Hossein Gholizade , Muhammad Raza , Ratbay Myrzakulov

The entanglement entropy in a quantum field theory between two regions of space has been shown in simple cases to be proportional to the volume of the hypersurface separating the regions. We prove that this is true for a free scalar field…

高能物理 - 理论 · 物理学 2008-11-26 Micheal S. Berger , Roman V. Buniy

Topological semimetals are a class of many-body systems exhibiting novel macroscopic quantum phenomena at the interplay between high energy and condensed matter physics. They display a topological quantum phase transition (TQPT) which…

高能物理 - 理论 · 物理学 2023-06-02 Matteo Baggioli , Yan Liu , Xin-Meng Wu

We continue the study of entanglement entropy for a QFT through a perturbative expansion of the path integral definition of the reduced density matrix. The universal entanglement entropy for a CFT perturbed by a relevant operator is…

高能物理 - 理论 · 物理学 2015-06-23 Vladimir Rosenhaus , Michael Smolkin

Boundaries constitute a rich playground for quantum many-body systems because they can lead to novel degrees of freedom such as protected boundary states in topological phases. Here, we study the groundstate of integer quantum Hall systems…

强关联电子 · 物理学 2020-10-21 Pierre-Gabriel Rozon , Pierre-Alexandre Bolteau , William Witczak-Krempa

The partial entanglement entropy (PEE) $s_{\mathcal{A}}(\mathcal{A}_i)$ characterizes how much the subset $\mathcal{A}_i$ of $\mathcal{A}$ contribute to the entanglement entropy $S_{\mathcal{A}}$. We find one additional physical requirement…

高能物理 - 理论 · 物理学 2020-05-20 Qiang Wen

We study the shape dependence of entanglement entropy (EE) by deforming symmetric entangling surfaces. We show that entangling surfaces with a rotational or translational symmetry extremize (locally) the EE with respect to shape…

高能物理 - 理论 · 物理学 2016-01-27 Dean Carmi

We investigate the holographic entanglement entropy (HEE) of a strip geometry in four dimensional Q-lattice backgrounds, which exhibit metal-insulator transitions in the dual field theory. Remarkably, we find that the HEE always displays a…

高能物理 - 理论 · 物理学 2016-04-26 Yi Ling , Peng Liu , Chao Niu , Jian-Pin Wu , Zhuo-Yu Xian

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 structure of divergences and universal terms of the entanglement and R\'enyi entropies for singular regions. First, we show that for $(3+1)$-dimensional free conformal field theories (CFTs), entangling regions emanating from…

高能物理 - 理论 · 物理学 2019-09-04 Pablo Bueno , Horacio Casini , William Witczak-Krempa