Helm, J. L. and Billam, T. P. and Gardiner, S. A. (2012) 'Bright matter-wave soliton collisions at narrow barriers.', Physical review A., 85 (5). 053621.
We study fast-moving bright solitons in the focusing nonlinear Schrödinger 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 δ-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.
|Full text:||(VoR) Version of Record|
Download PDF (511Kb)
|Publisher Web site:||http://dx.doi.org/10.1103/PhysRevA.85.053621|
|Publisher statement:||© 2012 American Physical Society|
|Date accepted:||No date available|
|Date deposited:||12 February 2014|
|Date of first online publication:||May 2012|
|Date first made open access:||No date available|
Save or Share this output
|Look up in GoogleScholar|