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13 págs.; 5 figs,; PACS number(s): 42.50.Dv, 42.50.KbThe theory of a two-mode nondegenerate parametric amplifier in a cavity is reformulated in terms of quadrature-phase-amplitude variables. The corrrespondence with a genuine classical stochastic linear process is found (non-negative-definite diffusion matrices) for the case of a cavity device immersed in thermal or ordinary (nonsqueezed) vacuum sources. A special kind of squeezing, i.e., quadrature squeezing [B. L. Schumaker, Phys. Rep. 135, 318 (1986)], is found to be characteristic of the internal steady state for the case of a cavity model subjected to an additional phase-sensitive noise source coupled to one of the two internal modes. Finally, the usual squeezing spectrum of the output field is calculated in both cases by means of an input-output formalism based upon a symmetric ordering scheme of noncommuting operators, well adapted for the quadrature-phase description of the fields involved in the interaction. © 1992 The American Physical Society.Work supported in part by Grants No. TIC90-80, from\udDGICYT (Spain), and No. A-91002002-15, from U.P.M.\ud(Madrid, Spain).Peer Reviewe

Quantum Langevin equations for a two-mode parametric amplifier: Noise squeezing without negative diffusion