Considering a periodically oscillating harmonic potential, we explored the dynamic properties of bright solitons in a Bose-Einstein condensate by using Darboux transformation. It is found that the soliton movement exhibits a nonperiodic oscillation under a slow oscillating potential, while it is hardly affected under a fast oscillating potential. Furthermore, the head-on and/or ‘chase’ collisions of two solitons have been obtained, which could be controlled by the oscillation frequency of the potential.
We study the linear stability and collision characteristics of the solitons of the Bose–Einstein condensates (BECs) trapped in two barrier potentials. It is shown that the soliton obtained at the top of the barrier potential is stable. Especially, when the two barrier potentials are considered as the output source of the dark solitons, the collision spots and pattern (such as chase, head-on or localization and through collision) of two solitons may be manipulated by the height of the barrier potential.
An extensive theoretical and experimental investigation has been conducted on fermion-pair condensation and exciton condensation as distinct classes of Bose-Einstein-like condensation. In this Rapid Communication, the existence of a fermion-exciton condensate---a single quantum state in which the characters of both fermion-pair and exciton condensates coexist---is established computationally in the low-particle-number (
N) limit and theoretically in the large-
N thermodynamic limit. The trade-off between the fermion-pair and excitonic character of the fermion-exciton condensate is shown to be elliptic in nature. The possibility that the properties of fermion-exciton condensates could be a hybrid of the properties of fermion-pair condensates and exciton condensates is discussed, and future experimental and computational exploration of this class of condensate, which may potentially be realizable in a bilayer of superconductors, is anticipated.