  Inspired by the recent conjecture that black holes are condensates of
gravitons, we investigate a simple model for the black hole degrees of freedom
that is consistent both from the point of view of Quantum mechanics and of
General Relativity. Since the two perspectives should "converge" into a unified
picture for small, Planck size, objects, we expect our construction is a useful
step for understanding the physics of microscopic, quantum black holes. In
particular, we show that a harmonically trapped condensate gives rise to two
horizons, whereas the extremal case (corresponding to a remnant with vanishing
Hawking temperature) naturally falls out of its spectrum.
