Spiraling Laguerre-Gaussian solitons and arrays in parabolic potential wells

Controllable trajectories of beams are one of the main themes in optical science. Here, we investigate the prop-agation dynamics of Laguerre-Gaussian (LG) solitons in parabolic potential wells and introduce off-axis and chirp parameters (which represent the displacement and the ini-tial angle of beams) to make solitons sinusoidally oscillate in the x and y directions and undergo elliptically or circu-larly spiraling trajectories during propagation. Additionally, LG solitons with different orders and powers can be com-bined into soliton arrays of various shapes, depending on the off-axis parameter. Moreover, the soliton arrays can exhibit periodic converging, rotating, and other evolution behav-iors, by the proper choice of the chirp parameter. A series of interesting examples demonstrate typical propagation sce-narios. Our results may provide a new perspective on and stimulate further investigations of multisoliton interactions in potential wells and may find applications in optical com-munication and particle control.& COPY; 2023 Optica Publishing Group