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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

We study the entanglement entropy in confining theories with gravity duals using the holographic prescription of Ryu and Takayanagi. The entanglement entropy between a region and its complement is proportional to the minimal area of a bulk…

高能物理 - 理论 · 物理学 2009-11-18 Ari Pakman , Andrei Parnachev

Quantities computed by minimal cuts, such as entanglement entropies achievable by the Ryu-Takayanagi proposal in the AdS/CFT correspondence, are constrained by linear inequalities. We prove a previously conjectured property of all such…

高能物理 - 理论 · 物理学 2026-02-10 Bartlomiej Czech , Yichen Feng , Xianlai Wu , Minjun Xie

The Ryu-Takayanagi prescription can be cast in terms of a set of microscopic threads that help visualize holographic entanglement in terms of distillation of EPR pairs. While this framework has been exploited for regions with a high degree…

高能物理 - 理论 · 物理学 2023-09-15 Umut Gürsoy , Juan F. Pedraza , Guim Planella Planas

The entanglement entropy in theories with a Fermi surface is known to produce a logarithmic violation of the usual area law behavior. We explore the possibility of producing this logarithmic violation holographically by analyzing the IR…

高能物理 - 理论 · 物理学 2015-06-03 Edgar Shaghoulian

We investigate the behavior of entanglement entropy across the holographic p-wave superconductor phase transition in an Einstein-Yang-Mills theory with a negative cosmological constant. The holographic entanglement entropy is calculated for…

高能物理 - 理论 · 物理学 2012-12-17 Rong-Gen Cai , Song He , Li Li , Yun-Long Zhang

We demonstrate that the entropy of entanglement and the distillable entanglement of regions with respect to the rest of a general harmonic lattice system in the ground or a thermal state scale at most as the boundary area of the region.…

量子物理 · 物理学 2009-11-11 M. Cramer , J. Eisert , M. B. Plenio , J. Dreissig

We calculate entanglement entropy in a non-relativistic field theory described by the Schr\"odinger operator. We demonstrate that the entropy is characterized by i) the area law and ii) UV divergences that are identical to those in the…

高能物理 - 理论 · 物理学 2010-05-12 Sergey N. Solodukhin

In this paper, we derive the universal (cut-off-independent) part of the holographic entanglement entropy in the noncommutative Yang-Mills theory and examine its properties in detail. The behavior of the holographic entanglement entropy as…

高能物理 - 理论 · 物理学 2021-04-14 Tadahito Nakajima

We study holographic entanglement entropy in 5-dimensional charged black brane geometry obtained from Einstein-SU(2)Yang-Mills theory defined in asymptotically AdS space. This gravity system undergoes second order phase transition near its…

高能物理 - 理论 · 物理学 2023-02-24 Chanyong Park , Gitae Kim , Ji-seong Chae , Jae-Hyuk Oh

We consider the question of whether the leading contribution to the entanglement entropy in holographic CFTs is truly given by the expectation value of a linear operator as is suggested by the Ryu-Takayanagi formula. We investigate this…

高能物理 - 理论 · 物理学 2017-02-21 Ahmed Almheiri , Xi Dong , Brian Swingle

An entanglement Renyi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the Renyi entropy is computed in 4D conformal N=4…

高能物理 - 理论 · 物理学 2015-06-03 Dmitri V. Fursaev

We consider situations where the renormalized geometric entropy, as defined by the AdS/CFT ansatz of Ryu and Takayanagi, shows extensive behavior in the volume of the entangled region. In general, any holographic geometry that is `capped'…

高能物理 - 理论 · 物理学 2014-11-18 Jose L. F. Barbon , Carlos A. Fuertes

We study shape-deformations of the entanglement entropy and the modular Hamiltonian for an arbitrary subregion and state (with a smooth dual geometry) in a holographic conformal field theory. More precisely, we study a double-deformation…

高能物理 - 理论 · 物理学 2018-07-04 Aitor Lewkowycz , Onkar Parrikar

We investigate various aspects of capacity of entanglement in certain setups whose entanglement entropy becomes extensive and obeys a volume law. In particular, considering geometric decomposition of the Hilbert space, we study this measure…

高能物理 - 理论 · 物理学 2024-09-20 M. Reza Mohammadi Mozaffar

This is an extended version of our short report hep-th/0603001, where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a concise review of relevant…

高能物理 - 理论 · 物理学 2010-02-03 Shinsei Ryu , Tadashi Takayanagi

I show that holographic calculations of entanglement entropy in the context of AdS bulk space modified by wormhole geometries provide the expected entanglement magnitude. This arises in the context of string theory by means of additional…

高能物理 - 理论 · 物理学 2024-10-14 Andrei T. Patrascu

A metric is proposed to explore the noncommutative form of the Anti-de Sitter space due to quantum effects. It has been proved that the non commutativity in AdS space induces a single component gravitoelectric field. The holographic…

高能物理 - 理论 · 物理学 2018-10-09 Davood Momeni , Muhammad Raza , Ratbay Myrzakulov

The Ryu-Takayanagi formula implies many general properties of entanglement entropies in holographic theories. We review the known properties, such as continuity, strong subadditivity, and monogamy of mutual information, and fill in gaps in…

高能物理 - 理论 · 物理学 2015-06-18 Matthew Headrick

Using holography, we study the entanglement entropy of strongly coupled field theories perturbed by operators that trigger an RG flow from a conformal field theory in the ultraviolet (UV) to a new theory in the infrared (IR). The…

高能物理 - 理论 · 物理学 2012-02-28 Tameem Albash , Clifford V. Johnson