Parametric Oscillation with Squeezed Vacuum Reservoirs

Details Parametric Oscillation with Squeezed Vacuum Reservoirs Parametric Oscillation with Squeezed Vacuum Reservoirs

2004-05-04

arxiv.org/abs/quant-ph/0405019v2

Journal of Modern Optics Volume 52, Number 6 / 15 April 2005, Pages 813 - 832

Physics

Quantum Physics

16 pages

Scientific paper

10.1080/0950034042000275414

Employing the quantum Hamiltonian describing the interaction of two-mode light (signal-idler modes) generated by a nondegenerate parametric oscillator (NDPO) with two uncorrelated squeezed vacuum reservoirs (USVR), we derive the master equation. The corresponding Fokker-Planck equation for the Q-function is then solved employing a propagator method developed in Ref. \cite{1}. Making use of this Q-function, we calculate the quadrature fluctuations of the optical system. From these results we infer that the signal-idler modes are in squeezed states and the squeezing occurs in the first quadrature. When the NDPO operates below threshold we show that, for a large squeezing parameter, a squeezing amounting to a noise suppression approaching 100% below the vacuum level in the first quadrature can be achieved.

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