FINITE-DIMENSIONAL COHERENT-STATE GENERATION AND QUANTUM-OPTICAL NONLINEAR OSCILLATOR MODELS

We discuss a system comprising a cavity with a nonlinear medium of k-o rder and an external coherent field excitation. We assume that the cav ity field was initially in vacuum state. We show that for the case of weak external field our system behaves similarly to one described in f inite-dimensional Hilbert space. Moreover, we perform numerical calcul ations simulating the dynamics of our system and compare the results w ith those of analytical attempts.