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We calculate the shape dependence of entanglement entropy in (5+1)-dimensional conformal field theory in terms of the extrinsic curvature of the entangling surface, the opening angles of possible conical singularities, and the conformal…

高能物理 - 理论 · 物理学 2012-12-12 Benjamin R. Safdi

In continuous quantum field theories, the entanglement entropy of a subsystem with sharp corners on its boundary exhibits a universal corner-dependent contribution. We study this contribution through the lens of lattice discretization, and…

量子物理 · 物理学 2026-05-29 Noa Feldman , Moshe Goldstein

We propose that the logarithmic term in the entanglement entropy computed in a conformal field theory for a $(d-2)$-dimensional round sphere in Minkowski spacetime is identical to the logarithmic term in the entanglement entropy of extreme…

高能物理 - 理论 · 物理学 2010-10-28 Sergey N. Solodukhin

We elucidate the topological features of the entanglement entropy of a region in two dimensional quantum systems in a topological phase with a finite correlation length $\xi$. Firstly, we suggest that simpler reduced quantities, related to…

强关联电子 · 物理学 2009-11-13 Stefanos Papanikolaou , Kumar S. Raman , Eduardo Fradkin

In this paper, we compute the exact form of the bulk geometry emerging from a $(1+1)$-dimensional conformal field theory using the holographic principle. We first consider the $(2+1)$-dimensional asymptotic $AdS$ metric in Poincare…

高能物理 - 理论 · 物理学 2020-02-03 Ashis Saha , Sourav Karar , Sunandan Gangopadhyay

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with…

高能物理 - 理论 · 物理学 2017-12-20 Yuichiro Nakai , Noburo Shiba , Masaki Yamada

We present a natural generalization of holographic entanglement entropy proposals beyond the scope of AdS/CFT by anchoring extremal surfaces to holographic screens. Holographic screens are a natural extension of the AdS boundary to…

高能物理 - 理论 · 物理学 2016-11-02 Fabio Sanches , Sean J. Weinberg

In this article, we investigate the entanglement structure of bipartite mixed states in (1+1)-dimensional boundary conformal field theories (BCFT$_2$s) through the odd entanglement entropy (OEE) by employing an appropriate replica…

高能物理 - 理论 · 物理学 2023-10-18 Anjali Kumari , Vinayak Raj , Gautam Sengupta

We compare two calculations of the particle density in the superfluid phase of the classical XY model with a chemical potential $\mu$ in 1+1 dimensions.The first relies on exact blocking formulas from the Tensor Renormalization Group (TRG)…

统计力学 · 物理学 2016-01-26 Li-Ping Yang , Yuzhi Liu , Haiyuan Zou , Z. Y. Xie , Y. Meurice

We study whether the relations between the Weyl anomaly, entanglement entropy (EE), and thermal entropy of a two-dimensional (2D) conformal field theory (CFT) extend to 2D boundaries of 3D CFTs, or 2D defects of $D \geq 3$ CFTs. The Weyl…

高能物理 - 理论 · 物理学 2019-07-15 Kristan Jensen , Andy O'Bannon , Brandon Robinson , Ronnie Rodgers

We revisit the issue of defining the entropy of a spatial region in a broad class of quantum theories. In theories with explicit regularizations, working within an elementary but general algebraic framework applicable to matter and gauge…

高能物理 - 理论 · 物理学 2018-09-18 Jennifer Lin , Djordje Radicevic

We study entanglement entropy for regions with a singular boundary in higher dimensions using the AdS/CFT correspondence and find that various singularities make new universal contributions. When the boundary CFT has an even spacetime…

高能物理 - 理论 · 物理学 2015-06-05 Robert C. Myers , Ajay Singh

In this paper, we investigate a holographic model of superconductor with hidden Fermi surfaces, which was defined by the logarithmic violation of area law of entanglement entropy. We works in fully back-reacted background using standard…

高能物理 - 理论 · 物理学 2013-11-19 ZhongYing Fan

We enumerate the cases in 2d conformal field theory where the logarithm of the reduced density matrix (the entanglement or modular hamiltonian) may be written as an integral over the energy-momentum tensor times a local weight. These…

统计力学 · 物理学 2017-01-19 John Cardy , Erik Tonni

In a quantum field theory, apparent thermalization can be a consequence of entanglement as opposed to scatterings. We discuss here how this can help to explain open puzzles such as the success of thermal models in electron-positron…

高能物理 - 理论 · 物理学 2019-02-20 Jürgen Berges , Stefan Floerchinger , Raju Venugopalan

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

We attempt to reveal the geometry, emerged from the entanglement structure of any general $N$-party pure quantum many-body state by representing entanglement entropies corresponding to all $2^N $ bipartitions of the state by means of a…

We use holography in order to study the entanglement entropy for a spherical entangling surface in a FRW background with an arbitrary time dependence of the scale factor. The calculation is done in various dimensions, allowing for nonzero…

高能物理 - 理论 · 物理学 2021-07-07 D. Giataganas , N. Tetradis

We present some exact results about universal quantities derived from the local density matrix, for a free massive Dirac field in two dimensions. We first find the trace of powers of the density matrix in a novel fashion, which involves the…

其他凝聚态物理 · 物理学 2011-02-16 H. Casini , C. D. Fosco , M. Huerta

The AdS/CFT correspondence relates quantum entanglement between boundary Conformal Field Theories and geometric connections in the dual asymptotically Anti-de Sitter space-time. We consider entangled states in the n-fold tensor product of a…

高能物理 - 理论 · 物理学 2016-04-05 Vijay Balasubramanian , Patrick Hayden , Alexander Maloney , Donald Marolf , Simon F. Ross