%0 Journal Article
%J Physical Review Letters
%D 2015
%T Entanglement entropy of dispersive media from thermodynamic entropy in one higher dimension
%A Mohammad F. Maghrebi
%A Homer Reid
%X A dispersive medium becomes entangled with zero-point fluctuations in the vacuum. We consider an arbitrary array of material bodies weakly interacting with a quantum field and compute the quantum mutual information between them. It is shown that the mutual information in D dimensions can be mapped to classical thermodynamic entropy in D+1 dimensions. As a specific example, we compute the mutual information both analytically and numerically for a range of separation distances between two bodies in D=2 dimensions and find a logarithmic correction to the area law at short separations. A key advantage of our method is that it allows the strong subadditivity property---notoriously difficult to prove for quantum systems---to be easily verified.
%B Physical Review Letters
%V 114
%P 151602
%8 2015/04/16
%G eng
%U http://arxiv.org/abs/1412.5613v2
%N 15
%! Phys. Rev. Lett.
%R 10.1103/PhysRevLett.114.151602