Cross-symmetric dipolar-matter-wave solitons in double-well chains
arXiv:1612.09163 · doi:10.1103/PhysRevE.95.032226
Abstract
We consider a dipolar Bose-Einstein condensate trapped in an array of two-well systems with an arbitrary orientations of the dipoles relative to the system's axis. The system can be built as a chain of local traps sliced into two parallel lattices by a repelling laser sheet. It is modelled by a pair of coupled discrete Gross-Pitaevskii equations, with dipole-dipole self- and cross-interactions. When the dipoles are not polarized perpendicular or parallel to the lattice, the cross-interaction is asymmetric, replacing the familiar symmetric two-component discrete solitons by two new species of cross-symmetric ones, on-site- and off-site-centered, which are strongly affected by the orientation of the dipoles and separation between the parallel lattices. A very narrow region of intermediate asymmetric discrete solitons is found at the boundary between the on- and off-site families. Two different types of solitons in the %-symmetric version of the system are constructed too, and stability areas are identified for them.
arXiv comment13 pages, 12 figures, 72 References, Physical Review E, in press
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