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A theoretical investigation on the quantum control of optical coherentfour-wave mixing interactions in two-level systems driven by two intensesynchronized femtosecond laser pulses of central angular frequencies $\omega$and $3\omega$ is reported. By numerically solving the full Maxwell-Blochequations beyond the slowly-varying envelope and rotating-wave approximationsin the time domain, the nonlinear coupling to the optical field at frequency$5\omega$ is found to depend critically on the initial relative phase $\phi$ ofthe two propagating pulses; the coupling is enhanced when the pulses interfereconstructively in the center ($\phi=0$), while it is nearly suppressed whenthey are out of phase ($\phi=\pi$). The tuning of the initial absolute phase ofthe different frequency components of synchronously propapagating$\omega$-$3\omega$ femtosecond pulses can serve as a means to control coherentanti-Stokes Raman scattering (CARS) processes.Comment: 4 pages, 6 figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Coherent control of ultrafast optical four-wave mixing with two-color<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>ω</mml:mi><mml:mtext>−</mml:mtext><mml:mn>3</mml:mn><mml:mi>ω</mml:mi></mml:mrow></mml:math>laser pulses

Coherent control of ultrafast optical four-wave mixing with two-colorω−3ωlaser pulses