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

Abstract

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 entropy, Fisher information and R{'e}nyi entropy for different mean-field interaction, and study the interplay between group velocity dispersion and nonlinear atomic interaction. We see that information theoretic approach can clearly reveal localization and delocalization properties of matter-wave density distribution. In all the cases, entropic uncertainties are found to be satisfied.