  We consider the massive vector field propagating in the inhomogeneous
parity-breaking medium, such as the dense hot hadronic matter with chiral
imbalance. The transition between the regions with approximately constant
values of the parity-breaking parameter allows for the states localized on such
boundary to occur. The adiabatic change of the background introduces either
decay or the amplification of the localized states. We also discuss the
non-adiabatic destruction of these bound states.
