TY - JOUR
T1 - Entanglement entropy of dispersive media from thermodynamic entropy in one higher dimension
JF - Physical Review Letters
Y1 - 2015
A1 - Mohammad F. Maghrebi
A1 - Homer Reid
AB - 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.
VL - 114
U4 - 151602
UR - http://arxiv.org/abs/1412.5613v2
CP - 15
J1 - Phys. Rev. Lett.
U5 - 10.1103/PhysRevLett.114.151602
ER -