Complex spherical 2 + 4 spin glass: A model for nonlinear optics in random media

  title={Complex spherical 2 + 4 spin glass: A model for nonlinear optics in random media},
  author={Fabrizio Antenucci and Andrea Crisanti and Luca Leuzzi},
  journal={Physical Review A},
A disordered mean field model for multimode laser in open and irregular cavities is proposed and discussed within the replica analysis. The model includes the dynamics of the mode intensity and accounts also for the possible presence of a linear coupling between the modes, due, e.g., to the leakages from an open cavity. The complete phase diagram, in terms of disorder strength, source pumping and non-linearity, consists of four different optical regimes: incoherent fluorescence, standard mode… 

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We use the symbol R instead of the usual R for number of RSB to avoid possible confusion with the matrix R ab

    The √ 2 is chosen to have real and imaginary parts of the among modes, i.e., |aj | = 1, for all j, and between real and imaginary part