Confinement of matter-wave solitons on top of a pedestal-shaped potential

Abstract

Reflection of wave packets from downward potential steps and attractive potentials, known as a quantum reflection, has been explored for bright matter-wave solitons with the main emphasis on the possibility to trap them on top of a pedestal-shaped potential. In numerical simulations, we observed that moving solitons return from the borders of the potential and remain trapped for a sufficiently long time. The shuttle motion of the soliton is accompanied by shedding some amount of matter at each reflection from the borders of the trap, thus reducing its norm. The one- and two- soliton configurations are considered. A discontinuous jump of trajectories of colliding solitons has been discussed. The time-shift observed in a step-like decay of the moving soliton's norm in the two-soliton configuration is linked to the trajectory jump phenomenon. The obtained results can be of interest for the design of new soliton experiments with Bose-Einstein condensates.

arXiv comment4 pages, 5 figures

References in corpus (8)

• Collisions of matter-wave solitons
• Quantum reflection of atoms from a solid surface at normal incidence
• Resonant trapping in the transport of a matter-wave soliton through a quantum well
• Quantum reflection of bright solitary matter-waves from a narrow attractive potential
• Quantum reflection of bright matter-wave solitons
• Cesium bright matter-wave solitons and soliton trains
• Matter-wave dark solitons in box-like traps
• Spontaneous symmetry breaking of self-trapped and leaky modes in quasi-double-well potentials