  We show that the holographic description of a class of AdS black holes with
scalar hair involves dual field theories with a double well effective
potential. Black hole microstates have significant support around both vacua in
the dual, which correspond to perturbative degrees of freedom on opposite sides
of the horizon. A solvable toy-model version of this dual is given by a quantum
mechanical particle in a double well potential. In this we show explicitly that
the interactions replace the state-dependence that is needed to describe black
hole microstates in a low energy effective model involving the tensor product
of two decoupled harmonic oscillators. A naive number operator signals the
presence of a firewall but a careful construction of perturbative states and
operators extinguishes this.
