München 2004 – scientific programme

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Q: Quantenoptik und Photonik

Q 31: Poster Nichtlineare optische Effekte und Lichtquellen

Q 31.9: Poster

Thursday, March 25, 2004, 14:00–16:00, Schellingstr. 3

Master Equation of the Nondegenerate Parametric Oscillator — •Alem Mebrahtu¹ and Fesseha Kasahun² — ¹Institut für Theoretische Physik, Universität Hannover, Appelstr. 2, 30167 Hannover — ²Department of Physics, Addis Ababa University, P.O.Box 33761, Addis Ababa, Ethiopia

Employing the pertinent quantum Hamiltonian describing the interaction of a 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 the method of evaluating the propagator formalism developed in Ref. [1]. Making use of this Q-function, we calculate the quadrature fluctuations. Applying these results we verify that the signal-idler modes are in a squeezed state and the squeezing occurs in the first quadrature. When the NDPO operates below threshold we show that, for a large squeeze parameter, a squeezing amounting to a noise suppression approaching 100% below the vacuum level can be achieved.

[1] K. Fesseha, J. Math. Phys. 33, 2179 (1992).