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RESEARCH PRODUCT
Slow-light solitons: Influence of relaxation
Alan R. BishopI. P. VadeikoAndrei RybinAndrei Rybinsubject
PhysicsDissipative solitonWork (thermodynamics)Nonlinear Sciences::Exactly Solvable and Integrable SystemsField (physics)Quantum mechanicsRelaxation (NMR)General Physics and AstronomySpontaneous emissionSolitonConstant (mathematics)Slow lightNonlinear Sciences::Pattern Formation and Solitonsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-01-28 | EPL (Europhysics Letters) |