  We propose an adaptive phase technique for the parametric cooling of
mechanical resonances. This involves the detection of the mechanical
quadratures, followed by a sequence of periodic controllable adjustments of the
phase of a parametric modulation. The technique allows the preparation of the
quantum ground state with an exponential loss of thermal energy, similarly to
the case of cold-damping or cavity self-cooling. Analytical derivations are
presented for the cooling rate and final occupancies both in the classical and
quantum regimes.
