English

On the parametric approximation in quantum optics

Quantum Physics 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/9902013,
  title  = {On the parametric approximation in quantum optics},
  author = {G. M. D'Ariano and M. G. A. Paris and M. F. Sacchi},
  journal= {arXiv preprint arXiv:quant-ph/9902013},
  year   = {2007}
}

Comments

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