TY - JOUR
T1 - Ratchet-induced matter-wave transport and soliton collisions in Bose-Einstein condensates
AU - Poletti, Dario
AU - Ostrovskaya, Elena A.
AU - Alexander, Tristram J.
AU - Li, Baowen
AU - Kivshar, Yuri S.
PY - 2009/7/15
Y1 - 2009/7/15
N2 - We study the dynamics of bright matter-wave solitons in a Bose-Einstein condensate with negative scattering length under the influence of a time-periodic ratchet potential. The potential is formed by a one-dimensional bichromatic optical lattice which flashes on and off so that the time average of its amplitude vanishes. Due to the broken space and time-reversal symmetries of the potential, the soliton is transported with a nonzero average velocity. By employing the non-dissipative mean-field model for the matter waves, we study the dependence of the transport velocity on the initial state of the soliton and show how the properties of the individual localized states affect the outcome of their collisions. A useful insight into the transport properties is provided by Hamiltonian theory for the mean field, which treats the extended matter-wave excitation as an effective classical particle.
AB - We study the dynamics of bright matter-wave solitons in a Bose-Einstein condensate with negative scattering length under the influence of a time-periodic ratchet potential. The potential is formed by a one-dimensional bichromatic optical lattice which flashes on and off so that the time average of its amplitude vanishes. Due to the broken space and time-reversal symmetries of the potential, the soliton is transported with a nonzero average velocity. By employing the non-dissipative mean-field model for the matter waves, we study the dependence of the transport velocity on the initial state of the soliton and show how the properties of the individual localized states affect the outcome of their collisions. A useful insight into the transport properties is provided by Hamiltonian theory for the mean field, which treats the extended matter-wave excitation as an effective classical particle.
KW - Bose-Einstein condensate
KW - Matter-wave soliton
KW - Optical ratchet potential
UR - http://www.scopus.com/inward/record.url?scp=67349254645&partnerID=8YFLogxK
U2 - 10.1016/j.physd.2008.10.003
DO - 10.1016/j.physd.2008.10.003
M3 - Article
SN - 0167-2789
VL - 238
SP - 1338
EP - 1344
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 15
ER -