  We investigate the dynamics of the spaser-based nanolaser in the strong
incoherent pumping regime in the quantum limit when the photon number is the
order of unity. We consider the situation where the newly irradiated photon
finds itself in the cloud of earlier irradiated photons that are not
thermalized. As the result the entanglement of nanoparticle with quantum dot
degrees of freedom in the nanolaser and the lasing intensity increases several
times. In fact the nonthermal bath effectively makes the nanolaser "more
quantum" and master equation for the nanolaser density matrix nonlinear and
selfconsistent.
