01233nas a2200145 4500008004100000245009700041210006900138260001500207300001100222490000800233520076600241100002701007700001601034856003701050 2015 eng d00aEntanglement entropy of dispersive media from thermodynamic entropy in one higher dimension0 aEntanglement entropy of dispersive media from thermodynamic entr c2015/04/16 a1516020 v1143 a 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.
1 aMaghrebi, Mohammad, F.1 aReid, Homer uhttp://arxiv.org/abs/1412.5613v2