  We study the entanglement entropy within a spherical region for a free scalar
field in a squeezed state in 3+1 dimensions. We show that, even for small
squeezing, a volume term appears, whose coefficient is essentially independent
of the field mass. This is in line with Page's argument that the entanglement
entropy in an arbitrary quantum state is proportional to the number of degrees
of freedom of the smaller subsystem. It follows that squeezed states can be
considered as arbitrary quantum states, in contrast to the ground or coherent
states that give rise to entanglement entropy that is dominated by a term
proportional to the area of the entangling surface.
