Slow-light solitons: Influence of relaxationA. V. Rybin1, 2, I. P. Vadeiko3 and A. R. Bishop4
1 Department of Physics, University of Jyväskylä - PO Box 35, FIN-40351, Jyväskylä, Finland
2 St Petersburg University of Information Technologies, Mechanics and Optics - Kronwerkskii ave. 49, 197101, St Petersburg, Russia
3 Physics Department, McGill University - 3600 rue University, Montreal, Quebec, H3A 2T8 Canada
4 Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory Los Alamos, NM 87545, USA
received 6 August 2007; accepted in final form 15 December 2007; published February 2008
published online 28 January 2008
We have applied the transformation of the slow-light equations to the Liouville theory that we developed in our previous work, to study the influence of relaxation on the soliton dynamics. We solved the problem of the soliton dynamics in the presence of relaxation and found that the spontaneous emission from the upper atomic level is strongly suppressed. Our solution proves that the spatial shape of the soliton is well preserved even if the relaxation time is much shorter than the soliton time length. This fact is of great importance for applications of the slow-light soliton concept in optical information processing. We also demonstrate that relaxation plays a role of resistance to the soliton motion and slows the soliton down even if the controlling field is constant.
05.45.Yv - Solitons.
42.50.Gy - Effects of atomic coherence on propagation, absorption, and amplification of light; electromagnetically induced transparency and absorption.
03.75.Lm - Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations.
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