Nonautonomous vector matter waves in two-component Bose-Einstein condensates with combined time-dependent harmonic-lattice potential

Abstract

We construct exact self-similar soliton solutions of three-dimensional coupled Gross–Pitaevskii equations for two-species Bose–Einstein condensates (BECs) in a combined time-dependent harmonic-lattice potential. Based on these solutions, we investigate the control and manipulation of solitary waves for three kinds of BECs with changing diffraction and nonlinearity coefficients; the solutions include Ma breathers and Peregrine and Akhmediev soliton solutions. Our results indicate that matter waves readily propagate in this system. It is shown that diffraction and lattice potential factors play important roles in the beam evolution characteristics, such as the peak, the phase offset, the linear phase, and the chirp.

Vector matter waves in two-component Bose-Einstein condensates with spatially modulated nonlinearities

“…In ref. [30], we found exact self-similar localized solutions of 3D coupled GPEs for two-species BECs in a time-dependent harmonic lattice potential. We considered the control and manipulation of solitary waves for different kinds of BECs with changing diffraction and nonlinearity; the solutions include Ma breathers, and Peregrine and Akhmediev solitons [30].…”

“…[30], we found exact self-similar localized solutions of 3D coupled GPEs for two-species BECs in a time-dependent harmonic lattice potential. We considered the control and manipulation of solitary waves for different kinds of BECs with changing diffraction and nonlinearity; the solutions include Ma breathers, and Peregrine and Akhmediev solitons [30]. Nevertheless, no exact 3D spatial multipole and necklace vector matter wave solitons in two-component GPE with spatially modulated coefficients and a trapping potential have been found to date.…”