Two parameters scaling approach to Anderson localization of weekly interacting BEC
J. Xu, D.-W. Zhang, X.-D. Zhang, Z.-Y. Xue
Laboratory of Quantum Information Technology, and School of Physics and Telecommunication Engineering,
South China Normal University, 510006 Guangzhou, China
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.