  We extend the quantum theory of dissipation in the context of
system-reservoir model, where the reservoir in question is kept in a
nonequilibrium condition. Based on a systematic separation of time scales
involved in the dynamics, appropriate generalizations of the
fluctuation-dissipation and Einstein's relations have been pointed out. We show
that the Wigner-Weisskopf decay of the system mode results in a rate constant
which depending on the relaxation of nonequilibrium bath is dynamically
modified. We also calculate the time-dependent spectra of a cavity mode with a
suitable gain when the cavity is kept in contact with a nonequilibrium bath.
