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Physical Review Letters

Dressed-field pulses in an absorbing medium

Joseph H. Eberly, M. Ll. Pons, H. R. Haq

Published Jan 3, 1994• 140 citations
Publisher

Abstract

We have carried out a series of numerical experiments on the propagation of optical pulse pairs in absorbing media under one-photon and two-photon resonant lambda-system conditions. We report the first observation of the spatial evolution of ``dressed-field'' pulses, the exact analog of the temporal evolution of dressed-atom states.

DOI
10.1103/physrevlett.72.56

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We have carried out a series of numerical experiments on the propagation of optical pulse pairs in absorbing media under one-photon and two-photon resonant lambda-system conditions. We report the first observation of the spatial evolution of ``dressed-field'' pulses, the exact analog of the temporal evolution of dressed-atom states.
Through numerical simulations we show that the propagation of pairs of optical pulses in a double-\ensuremath{\Lambda} configuration is favorable for the attainment of electromagnetically induced transparency with matched pulses, even through a long absorbing sample. The double-\ensuremath{\Lambda} configuration allows a flexible and precise control of the amplitudes and phases for the propagating pulses. Different atomic and field configurations based on a double-\ensuremath{\Lambda} system in rubidium atoms have been explored.
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.
The features of spatial and temporal evolution of two short laser pulses propagating in three-level medium under conditions of coherent population trapping and adiabatic population transfer is investigated in adiabatic approximation. It is shown that in both cases pulses can penetrate into a medium at a distance considerably exceeding the length of linear absorption of a single weak probe pulse in absence of a coupling pulse at adjacent transition. The difference of spatial and temporal evolution of level populations in processes of coherent population trapping and adiabatic population transfer is demonstrated. Also we show that the concept of dressed-field pulses is consequence of Manley-Raw relation.
Spatio-temporal dynamics of two short laser pulses propagating in an absorbing medium, which consists of one- and two-photon resonant (Lambda) -atoms, is investigated in the adiabatic approximation. We give an analytical solution and compare it with numerical simulations. It is shown that pulses may propagate in a medium, whose thickness is considerably greater than the length of the linear absorption of a single weak probe wave. Finally, full transfer of the probe pulse energy into the coupling pulse takes place. A vector model of the adiabatic interaction of two pulses with three-level atom is proposed.
The interaction of two incident laser pulses with a dielectric medium composed of three-level atoms is discussed. Particular attention is paid to various effects connected with the well known dark state or trapping state of lambda systems. Strong- and weak-field adiabatic processes are considered, taking note of the two-photon adiabatic criterion and counter-intuitive pulse sequencing. Results include two-photon absorption formulae two-photon soliton solutions, and graphs showing the propagation of the recently discovered two-photon trapping states of the field.