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Physical Review A

Optimal control of pulse amplification without inversion

Ningjun Wang, HERSCHEL A. RABITZ

Published Mar 1, 1996• 10 citations
Publisher

Abstract

We apply an optimal control technique (OCT) to design a secondary coupling pulse that can control the amplification of a given primary optical pulse in a dense media of coherently prepared three-level \ensuremath{\lambda}-type atoms without population inversion. Effects of pulse absorption, amplification, and reshaping by the medium are incorporated in the OCT. We demonstrate numerically that shape-invariant as well as shape-distorted amplification without population inversion can be achieved by properly designing the shape of the coupling pulse. The maximum amplification obtainable is shown to be dependent on the initial atomic coherence as well as the upper bound of the coupling pulse intensity. The group velocity of the primary pulse can also be controlled by the coupling pulse. \textcopyright{} 1996 The American Physical Society.

DOI
10.1103/physreva.53.1879

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We apply an optimal control technique (OCT) to design a secondary coupling pulse that can control the amplification of a given primary optical pulse in a dense media of coherently prepared three-level \ensuremath{\lambda}-type atoms without population inversion. Effects of pulse absorption, amplification, and reshaping by the medium are incorporated in the OCT. We demonstrate numerically that shape-invariant as well as shape-distorted amplification without population inversion can be achieved by properly designing the shape of the coupling pulse. The maximum amplification obtainable is shown to be dependent on the initial atomic coherence as well as the upper bound of the coupling pulse intensity. The group velocity of the primary pulse can also be controlled by the coupling pulse. \textcopyright{} 1996 The American Physical Society.
In this paper, we suggest a straight-forward technique to control the atomic population inversion in a three-level dense medium based on the pulse shaping with a phase-jump. A strong stokes field and two weak probe fields excite the atomic medium via the V-type configuration. First, we reveal that the atomic population inversion is accomplished under a shaped pulse. Second, we show that this is significantly improved by including a phase-jump in the pulse profile. Finally, we suggest a typical combined shape and phase in order to control the dynamics of the atomic population inversion.
We derive an optimal control strategy for storage and retrieval of a photon wavepacket of any given shape in a Lambda-type atomic medium with a limited optical depth. The control is provided by an appropriately shaped classical laser field. We present a universal physical picture encompassing different pulse-storage techniques ranging from adiabatic reduction of the photon group velocity and pulse-propagation control via off-resonant Raman fields to photon-echo based approaches. When properly optimized, all three approaches yield identical maximum efficiencies, which only depend on the optical depth of the medium. Extending the model to include Doppler broadening, we find the surprising result that at high enough optical depth all atoms contribute coherently as if the medium were homogeneously broadened.
The propagation of a pair of electromagnetic pulses through a coherently prepared atomic medium in the \ensuremath{\Lambda} configuration is studied. We find that even in an absorbing medium, it is possible to produce pulses that propagate shape invariant. The results reveal the spatiotemporal dynamics associated with field propagation, and highlight the role of atom preparation, pulse intensities, and medium length, on the final output pulses that one obtains. We also explore the prospects for pulse shaping and control by using dissimilar shaped pulses at the input to the medium and following their evolution. \textcopyright{} 1996 The American Physical Society.