Physics – Quantum Physics
Scientific paper
2001-09-15
Advances in Chemical Physics, Vol. 119 (Wiley, New York, 2001), pp. 493-515
Physics
Quantum Physics
21+1 pages, 8 figures; to appear in: "Modern Nonlinear Optics", ed. M. W. Evans, Advances in Chemical Physics, Vol. 119 (Wiley
Scientific paper
In this review, we compare different descriptions of photon-number statistics in harmonic generation processes within quantum, classical and semiclassical approaches. First, we study the exact quantum evolution of the harmonic generation by applying numerical methods including those of Hamiltonian diagonalization and global characteristics. We show explicitly that the harmonic generations can indeed serve as a source of nonclassical light. Then, we demonstrate that the quasi-stationary sub-Poissonian light can be generated in these quantum processes under conditions corresponding to the so-called no-energy-transfer regime known in classical nonlinear optics. By applying method of classical trajectories, we demonstrate that the analytical predictions of the Fano factors are in good agreement with the quantum results. On comparing second and higher harmonic generations in the no-energy-transfer regime, we show that the highest noise reduction is achieved in third-harmonic generation with the Fano-factor of the third harmonic equal to 13/16.
Bajer Jiri
Miranowicz Adam
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