On the parametric approximation in quantum optics

Details On the parametric approximation in quantum optics On the parametric approximation in quantum optics

1999-02-03

arxiv.org/abs/quant-ph/9902013v1

Nuovo Cim. B114 (1999) 339-354

Physics

Quantum Physics

19 pages, 9figs, LaTeX with cimento.cls documentclass (included). To appear on Nuovo Cimento B

Scientific paper

We perform the exact numerical diagonalization of the Hamiltonians that describe both degenerate and nondegenerate parametric amplifiers, by exploiting the conservation laws pertaining each device. We clarify the conditions under which the parametric approximation holds, showing that the most relevant requirement is the coherence of the pump after the interaction, rather than its undepletion.

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