Novel Polaron State for Single Impurity in a Bosonic Mott Insulator

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 polarons properties and break up the composite particle into a deconfined impurity-hole and boson particle state at finite, controllable polaron momentum.