Physical Review A

Quantized-field approach to parametric mixing and pressure-induced resonances: Schrödinger picture

G. Grynberg, P. R. Berman

Published Apr 1, 1991• 15 citations

Abstract

An interpretation of collision-induced extra resonances in multiwave mixing is constructed using a fully quantum-mechanical calculation carried out in the Schr\"odinger representation. The phase-matched signal is seen to arise as an interference between the amplitudes for scattering of the incident fields at different atomic sites. When collisions occur, the separation of the signal into a collision-induced resonance plus a background term appears naturally in this approach. The origin of the phase-matching condition, conservation of energy (and breaking of the Manley-Rowe relations), the role played by relaxation mechanisms, and the fact that the fields need not be temporally coherent to produce the extra resonances, all can be easily understood within the context of this calculation.

DOI: 10.1103/physreva.43.3994

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