Two parameters scaling approach to Anderson localization of weekly interacting BEC

We numerically study the Anderson localization of weekly interacting Bose–Einstein condensate in a one-dimensional disordered potential. We show that the interacting energy can not fully convert to the kinetic energy and two parameters are needed to describe such system completely, i.e., the density profile can be described with the sum of two exponential functions. This is a new attempt for precise description of systems with interplay of disorder and interaction.