期刊
PHYSICAL REVIEW A
卷 85, 期 5, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.85.053621
关键词
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资金
- UK EPSRC [EP/G056781/1]
- Durham University
- Engineering and Physical Sciences Research Council [EP/G056781/1] Funding Source: researchfish
- EPSRC [EP/G056781/1] Funding Source: UKRI
We study fast-moving bright solitons in the focusing nonlinear Schrodinger equation perturbed by a narrow Gaussian potential barrier. In particular, we present a general and comprehensive analysis of the case where two fast-moving bright solitons collide at the location of the barrier. In the limiting case of a delta-function barrier, we use an analytic method to show that the relative norms of the outgoing waves depends sinusoidally on the relative phase of the incoming waves, and to determine whether one, or both, of the outgoing waves are bright solitons. We show using numerical simulations that this analytic result is valid in the high velocity limit: outside this limit nonlinear effects introduce a skew to the phase dependence, which we quantify. Finally, we numerically explore the effects of introducing a finite-width Gaussian barrier. Our results are particularly relevant, as they can be used to describe a range of interferometry experiments using bright solitary matter-waves.
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