MANY-BODY QUANTUM-THEORY OF THE OPTICAL PARAMETRIC OSCILLATOR

A many-body theory of quantum fluctuations in the optical parametric o scillator is given. Dyson equations and diagrammatic representation of photon Green functions are derived from a combination of quantum Lang evin and many-body techniques. Single-photon Green functions are used to compute dynamic spectra of the output using a self-consistent schem e which incorporates nonlinear, many-photon polarization effects. The latter scale with system size and their influence on the nonlinear qua ntum dynamics is addressed. We present results of dynamic output spect ra and quantum-noise properties beyond the adiabatic approximation.