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It is shown, non–rigorously, that the effective action on Z q– factored odd spheres (lunes) has a vanishing derivative at q = 1. This leaves the effective action on the ordinary sphere as (minus) the ...
Entanglement Entropy of Two Black Holes and Entanglement Entropic Force
Entanglement Entropy Two Black Holes Entanglement Entropic Force
2010/12/23
We study the entanglement entropy, $S_C$, of a massless free scalar field on the outside region $C$ of two black holes $A$ and $B$ whose radii are $R_1$ and $R_2$ and how it depends on the distance, ...
Entanglement entropy of two disjoint intervals in conformal field theory II
Entanglement entropy disjoint intervals conformal field theory II
2010/12/24
We continue the study of the entanglement entropy of two disjoint intervals in conformal field theories that we started in J. Stat. Mech. (2009) P11001. We compute Tr\rho_A^n for any integer n for the...
Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
Permutation operators entanglement entropy the XXZ spin chain
2010/12/24
In this paper we develop a new approach to the investigation of the bi-partite entanglement entropy in integrable quantum spin chains. Our method employs the well-known replica trick, thus taking a re...
Entanglement Entropy of Two Black Holes and Entanglement Entropic Force
Entanglement Entropy Two Black Holes Entanglement Entropic Force
2010/12/21
We study the entanglement entropy, SC, of a massless free scalar field on the outside region C of two black holes A and B whose radii are R1 and R2 and how it depends on the distance, r(≫ R1,R2)...
Holographic entanglement entropy: near horizon geometry and disconnected regions
Holographic entanglement entropy horizon geometry disconnected regions
2010/12/22
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...
Universal parity effects in the entanglement entropy of XX chains with open boundary conditions
Universal parity effects entanglement entropy XX chains open boundary conditions
2010/11/11
We consider the Renyi entanglement entropies in the one-dimensional XX spin-chains with open boundary conditions in the presence of a magnetic field. In the case of a semi-infinite system and a block ...
Entanglement entropy between two coupled Tomonaga-Luttinger liquids
Entanglement entropy coupled Tomonaga-Luttinger liquids
2010/10/27
We consider a system of two coupled Tomonaga-Luttinger liquids (TLL) on parallel chains and
study the R´enyi entanglement entropy Sn between the two chains. The limit n ! 1 corresponds
to the ...
The coefficient of the logarithmic term in the entropy on even spheres is re–computed by the local technique of integrating the finite temperature energy density up to the horizon on static d–dimensio...