We study the tunneling and traversal of ultracold $\ensuremath{\Lambda}$-type three-level atoms through vacuum-induced potentials in a high-
Q mazer cavity. In particular, we discuss the effects of driving-induced atomic coherence on the passage of ultracold atoms through a high-
Q mazer cavity. We consider phase time to study quantum tunneling which exhibits interesting features due to atomic coherence. For example, negative phase time appears for transmission of the atoms in both excited and ground states due to the presence of atomic coherence. Further, for certain values of the driving field, it is found that the phase tunneling time shows an alternate subclassical and superclassical traversal behavior with the increase in atomic momentum.