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Physical Review A

Solitary waves and atomic population transfer via the continuum

F. T. Hioe, C. E. Carroll

Published Sep 1, 1997• 10 citations
Publisher

Abstract

Exact analytic results are presented that represent a pair of solitary waves that can propagate through an atomic medium with their shapes invariant while producing transfer of atoms or molecules from one bound state to another via a continuum. The speed of the waves and the amount of population transfer are given in terms of the wave amplitudes. A general (not solitary wave) solution for the case of a single wave is presented, together with a nonlinear Beer's law of absorption.

DOI
10.1103/physreva.56.2292

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Exact analytic results are presented that represent a pair of solitary waves that can propagate through an atomic medium with their shapes invariant while producing transfer of atoms or molecules from one bound state to another via a continuum. The speed of the waves and the amount of population transfer are given in terms of the wave amplitudes. A general (not solitary wave) solution for the case of a single wave is presented, together with a nonlinear Beer's law of absorption.
A new exact result is presented on the lossless propagation of simultaneous different-wavelength optical pulses through an atomic medium with general NNN energy levels in an extended $\ensuremath{\Lambda}$ or VVV configuration.
Classical wave optical analogs of coherent population transfer via a continuum, recently demonstrated for laser-driven atoms and molecules in the atomic physics context, are theoretically proposed for light waves propagating in waveguide-based photonic structures. In particular, it is shown that exploitation of the optical analogs of two-photon Rabi oscillations and stimulated Raman adiabatic passage via continuous states enables efficient transfer of light waves between two channel optical waveguides side coupled to a slab waveguide.