Gap Solitons in Spin-Orbit-Coupled Bose-Einstein Condensates in Optical Lattices

摘要

While different ways to realize spin-orbit coupling in Bose-Einsteincondensates exist, not all are currently experimentally implementable. Here wepresent a detailed study of gap solitons in a Bose- Einstein condensate withexperimentally realizable spin-orbit coupling and discuss two cases relating toa spin-dependent parity symmetry. In the parity symmetric case, two families offundamental gap solitons in second linear energy gap are demonstrated withopposite sign of the parity, with one family having single humped densities andthe other double humped ones. In the case of broken parity symmetry, thefundamental modes manifest spin-polarization. Both families possess an oppositesign of the spin-polarization.