Publication Date
2015
Journal or Book Title
PHYSICAL REVIEW A
Abstract
We study scattering of quasi-one-dimensional matter waves at an interface of two spatial domains, one with repulsive and one with attractive interatomic interactions. It is shown that the incidence of a Gaussian wave packet from the repulsive to the attractive region gives rise to generation of a soliton train. More specifically, the number of emergent solitons can be controlled, e.g., by the variation of the amplitude or the width of the incoming wave packet. Furthermore, we study the reflectivity of a soliton incident from the attractive region to the repulsive one. We find the reflection coefficient numerically and employ analytical methods, which treat the soliton as a particle (for moderate and large amplitudes) or a quasilinear wave packet (for small amplitudes), to determine the critical soliton momentum (as a function of the soliton amplitude) for which total reflection is observed.
Pages
033633, 8 pp.
Volume
91
Issue
033633
Recommended Citation
Tsitoura, F.; Krüger, P.; Kevrekidis, P. G.; and Frantzeskakis, D.J., "Scattering of Matter Waves in Spatially Inhomogeneous Environments" (2015). PHYSICAL REVIEW A. 1221.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/1221
Comments
Uploaded as published. DOI: 10.1103/PhysRevA.91.033633