Abstract

Two-mode quadrature-phase amplitudes^[1] have been used in order to analyze two-mode squeezed states. The statistical properties of the output from degenerate and nondegenerate parametric amplifiers have been widely studied.^[2] In this paper we compare previous results with the statistics obtained from the use of two mode operators when the losses in the device are absorption losses.^[3] We have started from the master equation for the reduced density matrix in terms of the two-mode quadrature phase amplitudes in symmetrical order including the damping term. The generalized Fokker- Planck equation for the Wigner quasiprobability distribution has been obtained in terms of two-mode variables. The diffusion matrix obtained is positive defined. The spectrum matrix of the fluctuations of the two-mode quadrature amplitudes has been calculated and from it the second-order correlations in terms of the usual one-photon annihilation operators.

© 1992 IQEC