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Scattering of slow-light gap solitons with charges in a two-level medium
Leon J., Anghel-Vasilescu P., Ginovart F., Allegra N.
Journal of Physics A Mathematical and Theoretical 42, 5 (2009) 055101 - http://hal.archives-ouvertes.fr/hal-00344263
Science non linéaire/Formation de Structures et Solitons
Scattering of slow-light gap solitons with charges in a two-level medium
Jerome Leon ()1, Petrutza Anghel-Vasilescu ()1, Frédéric Ginovart ()2, N. Allegra1
1 :  LPTA - Laboratoire de Physique Théorique et Astroparticules
CNRS : UMR5207 – IN2P3 – Université Montpellier II - Sciences et techniques
Bât 13- 1er Et. - CC 070 Place Eugène Bataillon 34095 MONTPELLIER CEDEX 5
2 :  FOTON - Fonctions Optiques pour les Technologies de l'informatiON
CNRS : UMR6082 – Université de Rennes 1 – Institut National des Sciences Appliquées (INSA) - Rennes – Ecole Nationale Supérieure des Sciences Appliquées et de Technologie (ENSSAT) – Institut Mines-Télécom – Télécom Bretagne – PRES Université Européenne de Bretagne (UEB)
ENSSAT 6, rue de Kerampont BP 80518 22305 LANNION Cedex
The Maxwell-Bloch system describes a quantum two-level medium interactingwith a classical electromagnetic field by mediation of the the populationdensity. This population density variation is a purely quantum effect which isactually at the very origin of nonlinearity. The resulting nonlinear couplingpossesses particularly interesting consequences at the resonance (when thefrequency of the excitation is close to the transition frequency of thetwo-level medium) as e.g. slow-light gap solitons that result from thenonlinear instability of the evanescent wave at the boundary. As nonlinearitycouples the different polarizations of the electromagnetic field, theslow-light gap soliton is shown to experience effective scattering whithcharges in the medium, allowing it for instance to be trapped or reflected.This scattering process is understood qualitatively as being governed by anonlinear Schroedinger model in an external potential related to the charges(the electrostatic permanent background component of the field).

Journal of Physics A Mathematical and Theoretical
Articles dans des revues avec comité de lecture

PACS: 42.50.Gy, 42.65.Re
RevTex, 14 pages with 5 figures, to appear at 6-02-2009 in J. Phys. A: Math. Theor. 42 (2009) 055101.

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