Ilya Fyodorov Moscow Institute of Physics and Technology (Russian Federation) Andrey K. Sarychev Institute for Theoretical and Applied Electrodynamics (Russian Federation) Gennady Tartakovsky Advanced Systems and Technologies, Inc. (United States)
Quantum-mechanical theory of the plasmon nanoresonator laser is presented. The Hamiltonian equations of motion are obtained for the plasmon field in the time domain. Then the plasmon field is quantized to develop the quantum plasmonics (QP). QP equations are solved and dynamics of the plasmon laser is obtained. We show that the plasmon laser is essentially thresholdless device in the nanosize limit, which radiation is coherent regardless of the pumping rate. We obtain the statistics of quanta, intensity, spectrum and linewidth of the radiation. Theory can also be applied to the usual photonic microlasers, metal-dielectric lasers and other small cavity devices.