Quantum plasmonics

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.

[1]  H. Carmichael,et al.  Photon statistics of a cavity-QED laser , 1993 .

[2]  Rupert F. Oulton,et al.  Surface plasmon lasers: sources of nanoscopic light , 2012 .

[3]  H. Kimble.  Strong interactions of single atoms and photons in cavity QED , 1998 .

[4]  V. Shalaev,et al.  Demonstration of a spaser-based nanolaser , 2009, Nature.

[5]  Marlan O. Scully,et al.  Quantum theory of an optical maser. , 1966 .

[6]  Wei Zhou,et al.  Plasmonic bowtie nanolaser arrays. , 2012, Nano letters.

[7]  H. Yokoyama,et al.  Rate equation analysis of microcavity lasers , 1989 .

[8]  D. Bergman,et al.  Surface plasmon amplification by stimulated emission of radiation: quantum generation of coherent surface plasmons in nanosystems. , 2003, Physical review letters.

[9]  R. Glauber.  Coherent and incoherent states of the radiation field , 1963 .

[10]  Mark I. Stockman,et al.  The spaser as a nanoscale quantum generator and ultrafast amplifier , 2009, 0908.3559.

[11]  Savage,et al.  One-atom lasers. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[12]  Karlsson,et al.  Definition of a laser threshold. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[13]  Gunnar Björk,et al.  Analysis of semiconductor microcavity lasers using rate equations , 1991 .

[14]  Andrey K. Sarychev,et al.  Magnetic plasmonic metamaterials in actively pumped host medium and plasmonic nanolaser , 2007 .

[15]  Xiang Zhang,et al.  Room-temperature sub-diffraction-limited plasmon laser by total internal reflection. , 2010, Nature materials.

[16]  R. Glauber.  The Quantum Theory of Optical Coherence , 1963 .

[17]  Luminescence on the horseshoe nanolaser , 2013, 1301.3036.

[18]  Gennady Shvets,et al.  Plasmonic nanolaser using epitaxially grown silver film , 2012, CLEO 2012.

[19]  Oliver Benson,et al.  Master-equation model of a single-quantum-dot microsphere laser , 1999 .

[20]  Xiang Zhang,et al.  Plasmon lasers at deep subwavelength scale , 2009, Nature.

[21]  Fouad Karouta,et al.  Lasing in metal-insulator-metal sub-wavelength plasmonic waveguides. , 2009, Optics express.

[22]  Jean-Michel Raimond,et al.  QUANTUM THEORY OF A THRESHOLDLESS LASER , 1999 .