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We calculate exactly the von Neumann and topological entropies of the toric code as a function of system size and temperature. We do so for systems with infinite energy scale separation between magnetic and electric excitations, so that the…

强关联电子 · 物理学 2007-11-30 C. Castelnovo , C. Chamon

We investigate the behaviors of entanglement entropy in the holographical insulator/superconductor phase transition. We calculate the holographic entanglement entropy for two kinds of geometry configurations in a completely back-reacted…

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

The holographic entanglement entropy is studied numerically in (4+1)-dimensional spherically symmetric Gauss-Bonnet AdS black hole spacetime with compact boundary. On the bulk side the black hole spacetime undergoes a van der Waals-like…

广义相对论与量子宇宙学 · 物理学 2016-10-12 Yuan Sun , Hao Xu , Liu Zhao

The combination of the Lorentz symmetry and the strong subadditive property of the entropy leads to a c-theorem for the entanglement entropy in 1+1 dimensions. We present a simple derivation of this theorem and compare the associated…

统计力学 · 物理学 2008-11-26 H. Casini , M. Huerta

We use holographic techniques to calculate the first thermal correction to the entanglement entropy of a cap-like region of a CFT defined on a sphere, successfully reproducing the field theory result. Since this is an order-one correction…

高能物理 - 理论 · 物理学 2015-02-27 Stefan Leichenauer

In this article, we review recent progresses on the holographic understandings of the entanglement entropy in the AdS/CFT correspondence. After reviewing the general idea of holographic entanglement entropy, we will explain its applications…

高能物理 - 理论 · 物理学 2009-12-08 Tatsuma Nishioka , Shinsei Ryu , Tadashi Takayanagi

Small variations of the entanglement entropy \delta S and the expectation value of the modular Hamiltonian \delta E are computed holographically for circular entangling curves in the boundary of AdS(4), using gravitational perturbations…

高能物理 - 理论 · 物理学 2015-08-05 Ioannis Bakas , Georgios Pastras

We study Hofstadter bilayers, i.e. coupled hopping models on two-dimensional square lattices in a perpendicular magnetic field. Upon tracing out one of the layers, we find an explicit expression for the resulting entanglement spectrum in…

统计力学 · 物理学 2013-05-13 John Schliemann

Entanglement entropy is crucial for understanding the link between quantum mechanics and information theory. This thesis investigates how energy fluctuations and acceleration affect entanglement entropy through three key scenarios. First,…

高能物理 - 理论 · 物理学 2025-10-28 Felipe Diaz

Using the subtraction approach, we give the bipartite mixed state entanglement entropy in thermal $\text{CFT}_2$. With these entanglement entropies, we examine in detail the holographic duals of different entangling configurations…

高能物理 - 理论 · 物理学 2025-09-01 Xin Jiang , Haitang Yang , Zilin Zhao

In the vacuum state of a CFT, the entanglement entropy of singular surfaces contains a logarithmic universal term which is only due to the singularity of the entangling surface. We consider the relevant perturbation of a three dimensional…

高能物理 - 理论 · 物理学 2018-03-14 Mostafa Ghasemi , Shahrokh Parvizi

We study holographic entanglement entropy in spatially anisotropic field theory. We observe that for the background we consider in this paper, to a good approximation, the holographic entanglement entropy can be decomposed into two terms.…

高能物理 - 理论 · 物理学 2018-07-11 M. Rahimi , M. Ali-Akbari

We investigate the holographic entanglement entropy in the metal/superconductor phase transition for the Born-Infeld electrodynamics with full backreaction and note that the entropy is a good probe to study the properties of the phase…

高能物理 - 理论 · 物理学 2015-06-22 Weiping Yao , Jiliang Jing

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

In this paper we will present in more detail a construction using Wilson lines and the corresponding dual Galilean conformal field theory calculations for analytically determining holographic entanglement entropy for flat space in $2+1$…

高能物理 - 理论 · 物理学 2016-07-04 Rudranil Basu , Max Riegler

We discuss a general five-dimensional completely anisotropic holographic model with three different spatial scale factors, characterized by a Van der Waals-like phase transition between small and large black holes. A peculiar feature of the…

高能物理 - 理论 · 物理学 2020-08-26 Irina Ya. Aref'eva , Alexander Patrushev , Pavel Slepov

We first compute the effect of a chiral anomaly, charge, and a magnetic field on the entanglement entropy in $\mathcal{N}=4$ Super-Yang-Mills theory at strong coupling via holography. Depending on the width of the entanglement strip the…

高能物理 - 理论 · 物理学 2022-02-16 Casey Cartwright , Matthias Kaminski

We will explore the dynamical property of non-equilibrium phenomena induced by two-dimensional holographic conformal field theory (2d holographic CFT) Hamiltonian on the curved spacetime by studying the time dependence of the entanglement…

高能物理 - 理论 · 物理学 2024-12-31 Chen Bai , Akihiro Miyata , Masahiro Nozaki

The entanglement properties of the phase transition in a two dimensional harmonic lattice, similar to the one observed in recent ion trap experiments, are discussed both, for finite number of particles and thermodynamical limit. We show…

量子物理 · 物理学 2015-05-13 Elisabeth Rieper , Janet Anders , Vlatko Vedral

The holographic quantum entanglement entropy for an infinite strip region of the boundary for the field theory dual to charged black holes in ${\cal A}dS_{3+1}$ is investigated. In this framework we elucidate the low and high temperature…

高能物理 - 理论 · 物理学 2016-09-21 Pankaj Chaturvedi , Vinay Malvimat , Gautam Sengupta