QUANTUM-CLASSICAL CORRESPONDENCE AND NONCLASSICAL STATES GENERATION IN DISSIPATIVE QUANTUM OPTICAL SYSTEMS
Alekseev K.N., Alekseeva N.V., Perina Jan

Received: September 3, 1999

PACS: 05.45.-a, 03.65.Sq, 42.50.Dv

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We develop a semiclassical method for the determination of the nonlinear dynamics of dissipative quantum optical systems in the limit of large number of photons N; it is based on the 1/N-expansion and the quantum-classical correspondence. The method is used to tackle two problems: to study the dynamics of nonclassical state generation in higher-order anharmonic dissipative oscillators and to establish the difference between the quantum and classical dynamics of the second-harmonic generation in a self-pulsing regime. In addressing the first problem, we obtain an explicit time dependence of the squeezing and the Fano factor for an arbitrary degree of anharmonism in the short-time approximation. For the second problem, we analytically find a characteristic time scale at which the quantum dynamics differs insignificantly from the classical one.