Soliton lattices in the Gross-Pitaevskii equation with nonlocal and repulsive coupling
arXiv:1812.10218 · doi:10.1016/j.physleta.2018.12.036
Abstract
Spatially-periodic patterns are studied in nonlocally coupled Gross-Pitaevskii equation. We show first that spatially periodic patterns appear in a model with the dipole-dipole interaction. Next, we study a model with a finite-range coupling, and show that a repulsively coupled system is closely related with an attractively coupled system and its soliton solution becomes a building block of the spatially-periodic structure. That is, the spatially-periodic structure can be interpreted as a soliton lattice. An approximate form of the soliton is given by a variational method. Furthermore, the effects of the rotating harmonic potential and spin-orbit coupling are numerically studied.
arXiv comment8 pages, 6 figures
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