Effect of bistability and superpositions on quantum statistics in degenerate parametric oscillation

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Abstract
The degenerate parametric oscillator operating above threshold exhibits bistability, and recent work suggests that it might also exist as a quantum-superposition state. We calculate the effect of the bistability on the two-time correlation function and the transmitted-field spectrum. The measurable steady-state probability distribution at the output of a homodyne detector is also calculated in a particular limit, in order to investigate whether one can experimentally distinguish between quantum-superposition and classical states.