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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

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

The entanglement entropy of three-dimensional conformal field theories contains a universal contribution coming from corners in the entangling surface. We study these contributions in a holographic framework and, in particular, we consider…

高能物理 - 理论 · 物理学 2015-09-30 Pablo Bueno , Robert C. Myers

We use the conformal invariance and the holographic correspondence to fully specify the dependence of entanglement entropy on the extrinsic geometry of the 2d surface $\Sigma$ that separates two subsystems of quantum strongly coupled…

高能物理 - 理论 · 物理学 2008-11-26 Sergey N. Solodukhin

We study the structure of entanglement in a supersymmetric lattice model of fermions on certain types of decorated graphs with quenched disorder. In particular, we construct models with controllable ground state degeneracy protected by…

强关联电子 · 物理学 2014-12-04 Liza Huijse , Brian Swingle

Entanglement entropy obeys area law scaling for typical physical quantum systems. This may naively be argued to follow from locality of interactions. We show that this is not the case by constructing an explicit simple spin chain…

量子物理 · 物理学 2015-05-18 G. Vitagliano , A. Riera , J. I. Latorre

The entanglement entropy of free fermions with a Fermi surface is known to obey a logarithmic scaling and violate the area law in all dimensions. Here, we would like to see how temperature affects the logarithmic scaling behavior. To this…

统计力学 · 物理学 2019-06-11 Hassan Shapourian , Shinsei Ryu

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

We prove regularity properties of the self-energy, to all orders in perturbation theory, for systems with singular Fermi surfaces which contain Van Hove points where the gradient of the dispersion relation vanishes. In this paper, we show…

数学物理 · 物理学 2009-11-13 Joel Feldman , Manfred Salmhofer

In this work we investigate holographic spacelike and timelike entanglement entropy using the Ryu-Takayanagi prescription, for slab-shaped and ball-shaped entangling regions. We work with an infinite family of 10-dimensional Type IIB…

高能物理 - 理论 · 物理学 2026-01-09 Jonathan Whittle

Few facts are known about the entanglement entropy for disconnected regions in quantum field theory. We study here the property of extensivity of the mutual information, which holds for free massless fermions in two dimensions. We uncover…

高能物理 - 理论 · 物理学 2009-09-17 H. Casini , M. Huerta

The entanglement entropy of a distinguished region of a quantum many-body system reflects the entanglement present in its pure ground state. In this work, we establish scaling laws for this entanglement for critical quasi-free fermionic and…

量子物理 · 物理学 2014-11-11 M. Cramer , J. Eisert , M. B. Plenio

The Ryu-Takayanagi formula relates entanglement entropy in a field theory to the area of extremal surfaces anchored to the boundary of a dual AdS space. It is interesting to ask if there is also an information theoretic interpretation of…

高能物理 - 理论 · 物理学 2018-12-19 Vijay Balasubramanian , Charles Rabideau

We consider holographic entanglement entropy in AdS black hole backgrounds by using the limit of large number of dimensions. By dividing the geometry to two patches (with one patch covering the vicinity of the black hole horizon and another…

高能物理 - 理论 · 物理学 2026-03-27 Parul Jain , Matti Järvinen

We extend the calculations of holographic entanglement entropy in AdS(4) for entangling curves with singular non-smooth points that generalize cusps. Our calculations are based on minimal surfaces that correspond to elliptic solutions of…

高能物理 - 理论 · 物理学 2018-04-10 Georgios Pastras

We compute the holographic entanglement entropy for the anomaly polynomial $\mathrm{Tr} R^2$ in 3+1 dimensions. Using the perturbative method developed for computing entanglement entropy for quantum field theories, we also compute the…

高能物理 - 理论 · 物理学 2017-03-31 Tibra Ali , S. Shajidul Haque , Jeff Murugan

We studied the holographic entanglement entropy for a strip and sharp wedge entangling regions in momentum relaxation systems. In the case of strips, we found analytic and numerical results for the entanglement entropy and showed the effect…

高能物理 - 理论 · 物理学 2019-01-09 Kyung Kiu Kim , Chanyong Park , Jung Hun Lee , Byoungjoon Ahn

We propose a framework for preparing quantum states with a holographic entanglement structure, in the sense that the entanglement entropies are governed by minimal surfaces in a chosen bulk geometry. We refer to such entropies as…

量子物理 · 物理学 2026-01-30 Jonathan Jeffrey , Lucien Gandarias , Monika Schleier-Smith , Brian Swingle

We study in this work the ground state entanglement properties of two models of non-interacting fermions moving in one-dimension (1D), that exhibit metal-insulator transitions. We find that entanglement entropy grows either logarithmically…

强关联电子 · 物理学 2014-03-25 Mohammad Pouranvari , Kun Yang

We study the entanglement entropy of theories that are derived from relevant perturbation of given CFTs for regions with a singular boundary by using the AdS/CFT correspondence. In the smooth case, it is well known that a relevant…

高能物理 - 理论 · 物理学 2019-02-26 Mostafa Ghasemi , Shahrokh Parvizi