  We consider metamolecule consisting of bosonic mode correlated with the
two-level system: it can be, for example, plasmonic mode interacting with the
quantum dot. We focus on the parameter range where all the correlations are
strong and of the same order: interaction between bosonic mode correlated with
the two-level system, external coherent drive and dissipation. Quantum
Monte-Carlo simulations show a fluorescence of this system at dissipation
larger than the driving amplitude and strong (by the order of magnitude)
narrowing of its spectral line. This effect may be related to kind of a quantum
stochastic resonance. We show that the fluorescence corresponds to finite
domain over the coherent drive with sharp lower threshold and there is
splitting of the Wigner function.
