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In this thesis, we study a variety of phenomena in strongly coupled quantum field theories by performing calculations in their gravitational duals. We compute entanglement entropy in a variety of holographic systems, paying particular…

高能物理 - 理论 · 物理学 2019-12-23 Ronnie Rodgers

We derive the geodesic equation for determining the Ryu-Takayanagi surface in $AdS_3$ deformed by single trace $\mu T \bar T + \varepsilon_+ J \bar T + \varepsilon_- T \bar J$ deformation for generic values of $(\mu, \varepsilon_+,…

高能物理 - 理论 · 物理学 2021-03-17 Soumangsu Chakraborty , Akikazu Hashimoto

We consider holographic entanglement entropy in higher derivative gravity theories. Recently Lewkowycz and Maldacena arXiv:1304.4926 have provided a method to derive the equations for the entangling surface from first principles. We use…

高能物理 - 理论 · 物理学 2015-06-16 Arpan Bhattacharyya , Apratim Kaviraj , Aninda Sinha

We study the finite term of the holographic entanglement entropy for the charged black hole in AdS(d+2) and other examples of black holes when the spatial region in the boundary theory is given by one or two parallel strips. For one large…

高能物理 - 理论 · 物理学 2011-05-09 Erik Tonni

We revisit the recent reformulation of the holographic prescription to compute entanglement entropy in terms of a convex optimization problem, introduced by Freedman and Headrick. According to it, the holographic entanglement entropy…

高能物理 - 理论 · 物理学 2019-05-16 Cesar A. Agón , Jan de Boer , Juan F. Pedraza

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

高能物理 - 理论 · 物理学 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin

We consider quantum entanglement between gauge fields in some region of space A and its complement B. It is argued that the Hilbert space of physical states of gauge theories cannot be decomposed into a direct product of Hilbert spaces of…

高能物理 - 理论 · 物理学 2010-05-12 P. V. Buividovich , M. I. Polikarpov

We study the holographic entanglement entropy of spatial regions having arbitrary shapes in the AdS4/BCFT3 correspondence with static gravitational backgrounds, focusing on the subleading term with respect to the area law term in its…

高能物理 - 理论 · 物理学 2018-09-25 Domenico Seminara , Jacopo Sisti , Erik Tonni

We introduce a "renormalized entanglement entropy" which is intrinsically UV finite and is most sensitive to the degrees of freedom at the scale of the size R of the entangled region. We illustrated the power of this construction by showing…

高能物理 - 理论 · 物理学 2015-03-20 Hong Liu , Mark Mezei

We consider the entanglement entropies in dS$_d$ sliced (A)dS$_{d+1}$ in the presence of a hard radial cutoff for $2\le d\le 6$. By considering a one parameter family of analytical solutions, parametrized by their turning point in the bulk…

高能物理 - 理论 · 物理学 2019-12-09 Sebastian Grieninger

For a Lorentzian invariant theory, the entanglement entropy should be a function of the domain of dependence of the subregion under consideration. More precisely, it should be a function of the domain of dependence and the appropriate…

高能物理 - 理论 · 物理学 2024-10-21 Peng-Zhang He , Hai-Qing Zhang

In this study, we investigate the behavior of entanglement properties in the QCD phase diagram using holographic Einstein-Maxwell-Dilaton (EMD) models. We consider two representative holographic QCD models and examine various entanglement…

高能物理 - 理论 · 物理学 2024-08-12 Zhibin Li

We study the phase transition in the holographic entanglement entropy for various confining models. This transition occurs for the entanglement entropy of a strip at a critical value of the strip width. Our main interest is to examine the…

高能物理 - 理论 · 物理学 2012-05-16 Aitor Lewkowycz

The entanglement entropy of various geometries is calculated for the boundary theory dual to a stack of N Dp-branes. The entanglement entropies are readily expressed in terms of the effective coupling at the appropriate energy scales. The…

高能物理 - 理论 · 物理学 2011-08-24 Anton van Niekerk

We study the entanglement entropy of a region of length 2L with the remainder of an infinite one dimensional gapless quantum system in the case where the region is centered on a quantum impurity. The coupling to this impurity is not scale…

强关联电子 · 物理学 2013-11-08 Hubert Saleur , Peter Schmitteckert , Romain Vasseur

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of…

高能物理 - 理论 · 物理学 2018-06-29 Alexander Jahn , Tadashi Takayanagi

We show, using strong subadditivity and Lorentz covariance, that in three dimensional space-time the entanglement entropy of a circle is a concave function. This implies the decrease of the coefficient of the area term and the increase of…

高能物理 - 理论 · 物理学 2013-05-30 H. Casini , Marina Huerta

We identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy…

高能物理 - 理论 · 物理学 2015-06-22 Matthew Headrick , Veronika E. Hubeny , Albion Lawrence , Mukund Rangamani

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 develop a general framework to compute the scaling of entanglement entropy in inhomogeneous one-dimensional quantum systems belonging to the Luttinger liquid universality class. While much insight has been gained in homogeneous systems…

统计力学 · 物理学 2020-03-26 Alvise Bastianello , Jérôme Dubail , Jean-Marie Stéphan