Resonant trapping in the transport of a matter-wave soliton through a quantum well

Details Resonant trapping in the transport of a matter-wave soliton through a quantum well Resonant trapping in the transport of a matter-wave soliton through a quantum well

2009-12-15

arxiv.org/abs/0912.3019v1

Phys. Rev. A 81, 033614 (2010)

Physics

Condensed Matter

Quantum Gases

13 pages, 20 figures

Scientific paper

10.1103/PhysRevA.81.033614

We theoretically investigate the scattering of bright solitons in a Bose-Einstein condensate on narrow attractive potential wells. Reflection, transmission and trapping of an incident soliton are predicted to occur with remarkably abrupt transitions upon varying the potential depth. Numerical simulations of the nonlinear Schroedinger equation are complemented by a variational collective coordinate approach. The mechanism for nonlinear trapping is found to rely both on resonant interaction between the soliton and bound states in the potential well as well as radiation of small amplitude waves. These results suggest that solitons can be used to probe bound states that are not accessible through scattering with single atoms.

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