Information measures on matter-wave solitons in Bose-Einstein condensates

We consider quasi-one-dimensional Bose-Einstein condensates and study the properties of matter-wave bright solitons within the framework information theoretic approach. In the limit of negligible trapping effect, we calculate Shannon en-tropy, Fisher information, and Renyi entropy for different mean-field interactions, and study the interplay between group velocity dispersion and nonlinear atomic interaction. We see that information theoretic approach can clearly reveal localiza-tion and delocalization properties of matter-wave density distribution. In all the cases, entropic uncertainties are found to be satisfied.