Generalized nonlinear Schrödinger equation and ultraslow optical solitons in a cold four-state atomic system

Published

March 13, 2006

Author(s)

Lu Deng, Guoxiang Huang, C Hang

Abstract

We investigate the influence of high-order dispersion and nonlinearity on the propagation of ultraslow optical solitons in a lifetime broadened four-state atomic system under a Raman excitation. Using a standard method of multiple-scales we derive a generalized nonlinear Schrödinger equation and show that for realistic physical parameters and at the pulse duration of 10−6 s, the effects of third-order linear dispersion, nonlinear dispersion, and delay in nonlinear refractive index can be significant and may not be considered as perturbations. We provide exact soliton solutions for the generalized nonlinear Schrödinger equation and demonstrate that optical solitons obtained may still have ultraslow propagating velocity. Numerical simulations on the stability and interaction of these ultraslow optical solitons in the presence of linear and differential absorptions are also presented.

Citation

Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)

Volume

73

Issue

3

Pub Type

Journals

Download Paper

https://doi.org/10.1103/PhysRevE.73.036607

Keywords

ultraslow optical solitons, generalized nonlinear Schrodinger equation

Citation

Deng, L. , Huang, G. and Hang, C. (2006), Generalized nonlinear Schrödinger equation and ultraslow optical solitons in a cold four-state atomic system, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), [online], https://doi.org/10.1103/PhysRevE.73.036607 (Accessed October 13, 2025)