title: Dynamics of matter-wave solitons in a ratchet potential.
abstract: We study the dynamics of bright solitons formed in a Bose-Einstein condensate with attractive atomic interactions perturbed by a weak bichromatic optical lattice potential. The lattice depth is a biperiodic function of time with a zero mean, which realizes a flashing ratchet for matter-wave solitons. We find that the average velocity of a soliton and the soliton current induced by the ratchet depend on the number of atoms in the soliton. As a consequence, soliton transport can be induced through scattering of different solitons. In the regime when matter-wave solitons are narrow compared to the lattice period the dynamics is well described by the effective Hamiltonian theory.
authors.affiliation: Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117542, Republic of Singapore.
authors.forename: Dario
authors.initials: D
authors.lastname: Poletti
authors.forename: Tristram J
authors.initials: TJ
authors.lastname: Alexander
authors.forename: Elena A
authors.initials: EA
authors.lastname: Ostrovskaya
authors.forename: Baowen
authors.initials: B
authors.lastname: Li
authors.forename: Yuri S
authors.initials: YS
authors.lastname: Kivshar