  Scalar solitons in global AdS4 are holographically dual to coherent states
carrying a non-trivial condensate of a scalar operator. We study the
holographic information content of these states, focusing on a particular
spatial region, by examining the entanglement entropy and causal holographic
information. We show generically that whenever the dimension of the condensed
operator is sufficiently low (characterized by the double-trace operator
becoming relevant), such coherent states have lower entanglement and causal
holographic information than the vacuum state of the system, despite having
greater energy. We also use these geometries to illustrate the fact that causal
wedges associated with a simply-connected boundary region can have non-trivial
topology even in causally trivial spacetimes.
