Enhanced frequency conversion of nonadiabatic resonant pulses in coherently prepared systems

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A. Eilam, A. D. Wilson-Gordon, and H. Friedmann
Department of Chemistry, Bar-Ilan University, Ramat Gan 52900, Israel

Received 21 December 2005; published 5 May 2006

Weshow that nonadiabatic, resonant amplitude- and phase-modulated pulses can befrequency converted with greater efficiency than adiabatic resonant pulses ina coherently prepared Lambda system. Indeed, conversion efficiencies close tounity, similar to those achieved using highly detuned pulses, canbeen obtained by using highly nonadiabatic resonant pulses. Moreover, bysolving the Maxwell-Bloch equations using Fourier transforms, we derive analyticalexpressions for the probe and the generated four-wave mixing (FWM)pulses as a function of time and propagation distance. Fromthese expressions, which are valid for either adiabatic or nonadiabaticpulses, we derive the result that starting from a nonadiabaticprobe pulse, an asymptotically matched probe-FWM pulse pair with thesame shape as the initial probe pulse is obtained. Inaddition, we show that, starting with a nonadiabatic matched pulsepair or a pair of matched pulse trains, we obtainpropagation of these pulses without either deformation or losses.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.053805
DOI:	10.1103/PhysRevA.73.053805
PACS:	42.65.Ky; 42.65.Jx; 42.50.Gy 42.65.Ky Optical frequency conversion; optical harmonic generation, including higher-order harmonic generation 42.65.Jx Optical beam trapping, optical self-focusing and defocusing; self-phase modulation 42.50.Gy Effects of atomic coherence on propagation, absorption, and amplification of light; electromagnetically induced transparency and absorption YEAR: 2006
KEYWORDS:	optical frequency conversion, Fourier transforms, multiwave mixing, light coherence

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