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Physical Review A

Formation of higher spectral components in a two-level medium driven by two-color ultrashort laser pulses

Xiaohong Song, Shangqing Gong, Shiqi Jin, Zhizhan Xu

Published Jan 1, 2004• 30 citations
Publisher

Abstract

Using a $\ensuremath{\omega}\ensuremath{-}2\ensuremath{\omega}$ combination scenario, we investigate the spectra of two-color ultrashort laser pulses in a two-level medium. It is found that higher spectral components can be produced even for small area pulses due to the interference effect of the two laser pulses. Moreover, these higher spectral components depend crucially on the relative phase $\ensuremath{\varphi}$ of the two laser pulses: continuum and distinct peaks can be achieved through the control of the relative phase.

DOI
10.1103/physreva.69.015801

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Using a \ensuremathω\ensuremath−2\ensuremathω\ensuremath{\omega}\ensuremath{-}2\ensuremath{\omega}\ensuremathω\ensuremath−2\ensuremathω combination scenario, we investigate the spectra of two-color ultrashort laser pulses in a two-level medium. It is found that higher spectral components can be produced even for small area pulses due to the interference effect of the two laser pulses. Moreover, these higher spectral components depend crucially on the relative phase \ensuremathφ\ensuremath{\varphi}\ensuremathφ of the two laser pulses: continuum and distinct peaks can be achieved through the control of the relative phase.
Using the full Maxwell-Bloch equations which avoid the limitations of slowly-varying-envelope approximation and the rotating--wave approximation as ultrashort pulses are considered, we investigate the coherent control of spectra effects with two color few-cycle laser pulses. We demonstrate that the interference effect of the two laser pulses can substantially modify the behavior of the spectra, higher spectral components can occur even for small area pulses. Moreover, comparing the ω-2ω combination with the ω-3ω scenario, we find due to the deferent superposition of the two kinds of combined laser pulses, the features of these higher spectral components can be much different.
A critical dependence of the quantum interference on the optical Stark spectral shift produced when two-color laser pulses interact with a two-level medium is observed. The four-wave mixing of two ultrashort phase-locked $\ensuremath{\omega}\text{\ensuremath{-}}3\ensuremath{\omega}$ laser pulses propagating coherently in a two-level system depends on the pulses' relative phase. The phase dominating the efficiency of the coupling to the anti-Stokes Raman component is found to be determined by the sign of the total ac Stark shift induced in the system, in such a way that the phase sensitivity disappears precisely where the ac Stark effect due to both pulses is compensated. A coherent control scheme based on this phenomenon can be contemplated as the basis for nonlinear optical spectroscopy techniques.