Abstract

The situation when nonlinear interactions involve a large number of photons, N, is quite typical of many of the problems of quantum and nonlinear optics. To describe the dynamics of such quantum systems a classical approach is often used. In this theoretical work we compare classical and quantum dynamics of several dissipative quantum optical systems, which have a limit cycle in the classical limit N → ∞. In particular, we consider the dynamics of intracavity second harmonic generation (SHG) described by the Hamiltonian [1] where the boson operators a_j (j=1,2) describe fundamental and second-harmonic modes, respectively, Δ_j is the cavity detuning of mode j, EN^1/2 is the classical field driving first mode (E is of order of unity), χ is ^a second-order nonlinear susceptibility.

© 2000 IEEE