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arXiv · 0802.0085

Dynamics of matter-wave solitons in a ratchet potential

Dario Poletti·Tristram J. Alexander·Elena A. Ostrovskaya·Baowen Li·Yuri S. Kivshar
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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 realises a flashing ratchet for matter-wave solitons. The average velocity of a soliton and the directed soliton current induced by the ratchet depend on the number of atoms in the soliton. We employ this feature to study collisions between ratchet-driven solitons and find that soliton transport can be induced through their interactions. In the regime when matter-wave solitons are narrow compared to the lattice period the ratchet dynamics is well described by the effective Hamiltonian theory.

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Dario Poletti, Tristram J. Alexander, Elena A. Ostrovskaya, Baowen Li, Yuri S. Kivshar. 2008-02-01. Dynamics of matter-wave solitons in a ratchet potential. https://doi.org/10.1103/physrevlett.101.150403

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