Two-dimensional discrete solitons in the lattice of parallel strings with dipole-dipole interactions
Phys. Rev. A 113, 023318 – Published 19 February, 2026
DOI: https://doi.org/10.1103/596t-sf6b
Abstract
We investigate a system composed of strings uniformly populated by dipolar Bose-Einstein condensates of magnetic atoms. Evaluating the interaction between a dipole belonging to a given string and all other dipoles in the system, we derive a two-dimensional discrete model featuring a specific form of the nonlocal nonlinear interaction, governed by the respective variety of the discrete Gross-Pitaevskii equation. By means of numerical methods, we construct four distinct types of strongly localized discrete solitons, labeled as in-phase single-peak (ISP), twisted single-peak (TSP), in-phase double-peak (IDP), and twisted double-peak (TDP) ones, which are determined by the orientation of the magnetic moments with respect to the underlying lattice. If the moments are polarized along the lattice diagonal, the discrete solitons exhibit a stable species with a different spatial profile from the above-mentioned modes. The characteristics and stability of the soliton families are systematically investigated. Calculation of the energy for these solitons demonstrates that the IDP type tends to be the system's ground state.
