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arXiv · 1812.10218

Soliton lattices in the Gross-Pitaevskii equation with nonlocal and repulsive coupling

Hidetsugu Sakaguchi
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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.

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Hidetsugu Sakaguchi. 2018-12-26. Soliton lattices in the Gross-Pitaevskii equation with nonlocal and repulsive coupling. https://doi.org/10.1016/j.physleta.2018.12.036

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