Parametric down-conversion beyond the semi-classical approximation
Quantum Physics
2020-09-16 v4 Optics
Abstract
Using a perturbative approach, we investigate the parametric down-conversion process without the semi-classical approximation. A Wigner functional formalism, which incorporates both the spatiotemproal degrees of freedom and the particle-number degrees of freedom is used to perform the analysis. First, we derive an evolution equation for the down-conversion process in the nonlinear medium. Then we use the perturbative approach to solve the equation. The leading order contribution is equivalent to the semi-classical solution. The next-to-leading order contribution provides a solution that includes the evolution of the pump field as a quantum field.
Cite
@article{arxiv.2006.08106,
title = {Parametric down-conversion beyond the semi-classical approximation},
author = {Filippus S. Roux},
journal= {arXiv preprint arXiv:2006.08106},
year = {2020}
}
Comments
14 pages, new section on applications