Simulations of the dynamics of optical bistability with fluctuations

Numerical integrations of the Langevin-equation for the fluctuating light-field in a nonlinear resonator are presented. As an xample, the nonlinearity of the two-photon resonance of the excitonic molecule in semiconductors is treated. Time-dependent switching processes and the response of the system to nonstationary incident fields are investigated with the technique of molecular dynamics simulations. Using many independent realizations of the stochastic process, the time-dependence of the field dostribution function is determined. Furthermore, it is shown that the decay of metastable states can be described by simple exponential decay rates.