  We show that a single impurity embedded in a cold atom bosonic Mott insulator
leads to a novel polaron that exhibits correlated motion with an effective mass
and a linear size that nearly diverge at critical value of the on-site
impurity-boson interaction strength. Cold atom technology can tune the
polaron's properties and break up the composite particle into a deconfined
impurity-hole and boson particle state at finite, controllable polaron
momentum.
