Localization of solitons: linear response of the mean-field ground state to weak external potentials

摘要: Two aspects of bright matter–wave solitons in weak external potentials are discussed. First, we briefly review recent results on the Anderson localization an entire soliton disordered potentials, as a paradigmatic showcase genuine quantum dynamics beyond simple perturbation theory. Second, calculate linear response mean-field shape to weak, but otherwise arbitrary, potential, with detailed application lattice potentials.