Noise induced topological transformations of vortex solitons in optical fibers filled with a cold atomic gas
We consider the influence of optical and temperature dependent atomic fluctuations on the formation and propagation of optical vortex solitons in dense media realized as hollow core optical fibers filled with a cold atomic gas in presence of optical pumping. We show different perturbation induced scenaria of complete destruction and smooth transformation of the topological characteristics of localized optical patterns in hollow core fiber. The maximum levels of optical and atomic fluctuations at which the soliton regime can be maintained has been determined. The estimates for these levels show that it is possible to observe the optical vortex solitions in the core filling gas of the fiber for temperatures smaller than the critical temperature of Bose Einstein condensate.