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相关论文: Universal corner entanglement from twist operators

200 篇论文

Using conformal field theoretic methods we calculate correlation functions of geometric observables in the loop representation of the O(n) model at the critical point. We focus on correlation functions containing twist operators, combining…

数学物理 · 物理学 2009-06-10 Jacob J. H. Simmons , John Cardy

We study the entanglement entropy of a free massive scalar field at its ground state in (3+1)-dimensional AdS space in global coordinates. We consider spherical entangling surfaces centered at the origin of AdS. We determine the structure…

In the context of characterizing the structure of quantum entanglement in many-body systems, we introduce the entanglement contour, a tool to identify which real-space degrees of freedom contribute, and how much, to the entanglement of a…

强关联电子 · 物理学 2016-11-25 Yangang Chen , Guifre Vidal

We propose a codimension two holography between a gravitational theory on a $d+1$ dimensional wedge spacetime and a $d-1$ dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain…

高能物理 - 理论 · 物理学 2021-01-21 Ibrahim Akal , Yuya Kusuki , Tadashi Takayanagi , Zixia Wei

We consider the logarithmic negativity of a finite interval embedded in an infinite one dimensional system at finite temperature. We focus on conformal invariant systems and we show that the naive approach based on the calculation of a…

统计力学 · 物理学 2014-12-17 Pasquale Calabrese , John Cardy , Erik Tonni

We carry out a systematic study of entanglement entropy in relativistic quantum field theory. This is defined as the von Neumann entropy S_A=-Tr rho_A log rho_A corresponding to the reduced density matrix rho_A of a subsystem A. For the…

高能物理 - 理论 · 物理学 2011-02-16 Pasquale Calabrese , John Cardy

In conformal field theory (CFT) on simply connected domains of the Riemann sphere, the natural conformal symmetries under self-maps are extended, in a certain way, to local symmetries under general conformal maps, and this is at the basis…

数学物理 · 物理学 2015-05-18 Benjamin Doyon

Renyi and von Neumann entropies quantifying the amount of entanglement in ground states of critical spin chains are known to satisfy a universal law which is given by the Conformal Field Theory (CFT) describing their scaling regime. This…

统计力学 · 物理学 2015-05-30 Miguel Ibanez Berganza , Francisco Castilho Alcaraz , German Sierra

We compute the entanglement entropy and the entanglement spectrum of the vacuum state in the massive Schwinger model at a finite $\theta$ angle. The $\theta$ term is implemented through a chirally rotated lattice Hamiltonian that preserves…

高能物理 - 唯象学 · 物理学 2026-04-01 Sebastian Grieninger , Dmitri E. Kharzeev , Eliana Marroquin

We evaluate the entanglement entropy of a non-minimal coupling Einstein-scalar theory with two approaches in classical Euclidean gravity. By analysing the equation of motion, we find that the entangled surface is restricted to be a minimal…

高能物理 - 理论 · 物理学 2016-06-29 Bing Sun , Weizhen Jia , Xingyang Yu

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

We study entanglement entropy for parity-violating (time-reversal breaking) quantum field theories on $\mathbb{R}^{1,2}$ in the presence of a domain wall between two distinct parity-odd phases. The domain wall hosts a 1+1-dimensional…

高能物理 - 理论 · 物理学 2016-04-06 Taylor L. Hughes , Robert G. Leigh , Onkar Parrikar , Srinidhi T. Ramamurthy

We derive the formula of the entanglement entropy between the left and right oscillating modes of the $\sigma$-model with the de Sitter target space. To this end, we study the theory in the \emph{cosmological gauge} in which the…

高能物理 - 理论 · 物理学 2017-10-06 Ion V. Vancea

We study the relative entanglement entropies of one interval between excited states of a 1+1 dimensional conformal field theory (CFT). To compute the relative entropy $S(\rho_1 \| \rho_0)$ between two given reduced density matrices $\rho_1$…

高能物理 - 理论 · 物理学 2017-02-14 Paola Ruggiero , Pasquale Calabrese

We evaluate the entanglement entropy and entropic function of massive two dimensional QED (Schwinger model) at finite temperature, density, and $\theta$-angle. In the strong coupling regime, the entropic function is dominated by the boson…

高能物理 - 理论 · 物理学 2024-01-30 Sebastian Grieninger , Kazuki Ikeda , Dmitri E. Kharzeev , Ismail Zahed

We study the \textit{entanglement contour} and \textit{partial entanglement entropy} (PEE) in quantum field theories in 3 and higher dimensions. The entanglement entropy is evaluated from a certain limit of the PEE with a geometric…

高能物理 - 理论 · 物理学 2022-05-17 Muxin Han , Qiang Wen

We explore the question of finiteness of the entanglement entropy in gravitational theories whose emergent space is the target space of a holographic dual. In the well studied duality of two-dimensional non-critical string theory and $c=1$…

高能物理 - 理论 · 物理学 2022-12-28 Sumit R. Das , Antal Jevicki , Junjie Zheng

Correlators in symmetric orbifold CFTs are given by a finite sum of admissible branched covers of the 2d spacetime. We consider a Gross-Mende like limit where all operators have large twist, and show that the corresponding branched covers…

高能物理 - 理论 · 物理学 2021-05-26 Matthias R. Gaberdiel , Rajesh Gopakumar , Bob Knighton , Pronobesh Maity

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

We consider time-dependent entanglement entropy (EE) for a 1+1 dimensional CFT in the presence of angular momentum and U(1) charge. The EE saturates, irrespective of the initial state, to the grand canonical entropy after a time large…

高能物理 - 理论 · 物理学 2015-06-16 Pawel Caputa , Gautam Mandal , Ritam Sinha
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