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Title: Scattering of matter waves in spatially inhomogeneous environments

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.
Authors:
 [1] ;  [2] ;  [3] ;  [1]
  1. Univ. of Athens, Athens (Greece)
  2. The Univ. of Nottingham, Nottingham (United Kingdom)
  3. Univ. of Massachusetts, Amherst, MA (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
OSTI Identifier:
1233517
Report Number(s):
LA--UR-15-20510
Journal ID: ISSN 1050-2947; PLRAAN; TRN: US1600430
Grant/Contract Number:
DMS-1312856; IRSES-605096; 2010239; FA9550-12-10332; EP/I017828/1; AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 91; Journal Issue: 3; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Research Org:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 97 MATHEMATICS AND COMPUTING