Scattering of matter waves in spatially inhomogeneous environments

Tsitoura, F.; Krüger, P.; Kevrekidis, P. G.; Frantzeskakis, D. J.

doi:10.1103/PhysRevA.91.033633

Title: Scattering of matter waves in spatially inhomogeneous environments

Journal Article · Mon Mar 30 00:00:00 EDT 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.91.033633· OSTI ID:1233517

Tsitoura, F. ^[1]; Krüger, P. ^[2]; Kevrekidis, P. G. ^[3]; Frantzeskakis, D. J. ^[1]

Univ. of Athens, Athens (Greece)
The Univ. of Nottingham, Nottingham (United Kingdom)
Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this article, 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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: DMS-1312856; IRSES-605096; 2010239; FA9550-12-10332; EP/I017828/1; AC52-06NA25396

OSTI ID:: 1233517

Report Number(s):: LA-UR-15-20510; PLRAAN; TRN: US1600430

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Issue 3; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 5 works

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