Statistics of polaritons in the nonlinear regime

We discuss the quantum statistical properties of exciton polaritons in semiconductor microcavities. The nonlinear dynamics is treated within a model of interacting bosons for the signal, pump, and idler modes. We focus on the regime of parametric amplification below threshold. We present the time evolution of the signal and idler modes towards their stationary solutions and discuss their statistical properties. In particular, we evaluate the amount of squeezing of the radiation emitted out of the microcavity in a configuration, which may be relevant for experiments.

[1]  R. Girlanda,et al.  Many-body and correlation effects on parametric polariton amplification in semiconductor microcavities. , 2002, Physical review letters.

[2]  M. Kuwata-Gonokami,et al.  Efficient two-photon light amplification by a coherent biexciton wave. , 2002, Physical review letters.

[3]  C. Ciuti,et al.  Parametric matter in semiconductor microcavities , 2002 .

[4]  J. Bloch,et al.  High-temperature ultrafast polariton parametric amplification in semiconductor microcavities , 2001, Nature.

[5]  R. Houdré,et al.  Parametric polariton amplification in semiconductor microcavities. , 2001, Physical review letters.

[6]  M. S. Skolnick,et al.  Off-branch polaritons and multiple scattering in semiconductor microcavities , 2001 .

[7]  D. Whittaker.  Classical treatment of parametric processes in a strong-coupling planar microcavity , 2001 .

[8]  C. Ciuti,et al.  Parametric luminescence of microcavity polaritons , 2000, cond-mat/0008408.

[9]  M. S. Skolnick,et al.  Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities , 2000, Physical review letters.

[10]  Stanley,et al.  Nonlinear emission of semiconductor microcavities in the strong coupling regime , 2000, Physical review letters.

[11]  Cristiano Ciuti,et al.  Theory of the angle-resonant polariton amplifier , 2000 .

[12]  C. Piermarocchi,et al.  Excitonic Bloch equations for a two-dimensional system of interacting excitons , 2000 .

[13]  Yoshihisa Yamamoto,et al.  Experimental evidence of stimulated scattering of excitons into microcavity polaritons , 2000 .

[14]  M. S. Skolnick,et al.  Angle-resonant stimulated polariton amplifier , 2000, Physical review letters.

[15]  Elisabeth Giacobino,et al.  Squeezed states and the quantum noise of light in semiconductor microcavities , 1999 .

[16]  C. Piermarocchi,et al.  Optical properties of microcavity polaritons , 1999 .

[17]  Stephan W Koch,et al.  QUANTUM THEORY OF SECONDARY EMISSION IN OPTICALLY EXCITED SEMICONDUCTOR QUANTUM WELLS , 1999 .

[18]  Hyper Raman Scattering in Microcavity Quantum Wells: A Quantum Optical Process in the Strong Coupling Regime , 1997 .

[19]  Girlanda,et al.  Quantum Optical Effects and Nonlinear Dynamics in Interacting Electron Systems. , 1996, Physical review letters.

[20]  Stanley,et al.  Measurement of cavity-polariton dispersion curve from angle resolved photoluminescence experiments. , 1994, Physical review letters.

[21]  Statistical properties of polariton states , 1993 .

[22]  P. Schwendimann,et al.  Squeezed Polaritons In Confined Systems , 1993 .

[23]  C. Weisbuch,et al.  Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity. , 1992, Physical review letters.

[24]  Birman,et al.  Quantum-optical properties of polariton waves. , 1991, Physical review. B, Condensed matter.

[25]  Mertz,et al.  Observation of squeezed states generated by four-wave mixing in an optical cavity. , 1985, Physical review letters.

[26]  Collett,et al.  Squeezing spectra for nonlinear optical systems. , 1985, Physical review. A, General physics.

[27]  D. Walls,et al.  Anomalous switching in dispersive optical bistability , 1979 .