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We present a simple quantum theory for the pulsed light generated by asynchronously pumped optical parametric oscillator (SPOPO) in the degeneratecase where the signal and idler trains of pulses coincide, below threshold andneglecting all dispersion effects. Our main goal is to precise in the obtainedquantum effects, which ones are identical to the c.w. case and which ones arespecific to the SPOPO. We demonstrate in particular that the temporalcorrelations have interesting peculiarities: the quantum fluctuations atdifferent times within the same pulse turn out to be totally not correlated,whereas they are correlated between nearby pulses at times that are placed inthe same position relative to the centre of the pulses. The number ofsignificantly correlated pulses is of the order of cavity finesse. We show alsothat there is perfect squeezing at noise frequencies multiple of the pulserepetition frequency when one approaches the threshold from below on the signalfield quadrature measured by a balanced homodyne detection with a localoscillator of very short duration compared to the SPOPO pulse length.

the european physical journal. d, atomic, molecular and optical physics/the european physical journal. d, atomic, molecular, optical and plasma physics

Quantum correlations and fluctuations in the pulsed light produced by a  synchronously pumped optical parametric oscillator below its oscillation  threshold