Four-Wave Mixing Theory at the Excitonic Resonance: Weakly Interacting Boson Model.

  • Svirko Yuri P.
    Cooperative Excitation Project ERATO, Japan Science and Technology Corporation (JST), K. S. P. Building D 8th, 3–2–1 Sakato, Takatsu–ku, Kanagawa 213–0012
  • Shirane Masayuki
    Department of Applied Physics, Graduate School of Engineering, University of Tokyo, 7–3–1 Hongo, Bunkyo–ku, Tokyo 113–8656
  • Suzuura Hidekatsu
    Department of Applied Physics, Graduate School of Engineering, University of Tokyo, 7–3–1 Hongo, Bunkyo–ku, Tokyo 113–8656
  • Kuwata–Gonokami Makoto
    Cooperative Excitation Project ERATO, Japan Science and Technology Corporation (JST), K. S. P. Building D 8th, 3–2–1 Sakato, Takatsu–ku, Kanagawa 213–0012 Department of Applied Physics, Graduate School of Engineering, University of Tokyo, 7–3–1 Hongo, Bunkyo–ku, Tokyo 113–8656

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A theory of degenerate four-wave mixing (DFWM) in the low density excitation limit at the semiconductor band edge is developed on the basis of the bosonic representation of the electron-hole Hamiltonian. By accounting for the exciton-exciton interactions of the lowest order we arrive at the practical few-level density matrix description of the third-order excitonic nonlinearity. The developed theory accounts phenomenologically for the phase space filling, and excitation induced dephasing effects and well reproduces the results of the recent DFWM experiments in high- and low-fineness microcavity. We show that polarization-sensitive four-wave mixing measurements enable to discriminate the contributions to the DFWM signal from the exciton-exciton interactions of different symmetry.

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