title: Dynamics of ultraslow optical solitons in a cold three-state atomic system.
abstract: We present a systematic study on the dynamics of a ultraslow optical soliton in a cold, highly resonant three-state atomic system under Raman excitation. Using a method of multiple scales we derive a modified nonlinear Schrödinger equation with high-order corrections that describe effects of linear and differential absorption, nonlinear dispersion, delay response of nonlinear refractive index, diffraction, and third-order dispersion. Taking these effects as perturbations we investigate in detail the evolution of the ultraslow optical soliton using a standard soliton perturbation theory. We show that due to these high-order corrections the ultraslow optical soliton undergoes deformation, change of propagating velocity, and shift of oscillating frequency. In addition, a small radiation superposed by dispersive waves is also generated from the soliton. The results of the present work may provide a guidance that is useful for experimental demonstration of ultraslow optical soliton in cold atomic systems.
authors.affiliation: Electron & Optical Physics Division, NIST, Gaithersburg, Maryland 20899, USA.
authors.forename: Guoxiang
authors.initials: G
authors.lastname: Huang
authors.forename: L
authors.initials: L
authors.lastname: Deng
authors.forename: M G
authors.initials: MG
authors.lastname: Payne