Elastic scattering of a quantum matter-wave bright soliton on a barrier

Weiss, C.; Castin, Y.

doi:10.1088/1751-8113/45/45/455306

Elastic scattering of a quantum matter-wave bright soliton on a barrier

Weiss, C.; Castin, Y.

Authors

C. Weiss

Y. Castin

Abstract

We consider a one-dimensional matter-wave bright soliton, corresponding to the ground bound state of N bosonic particles of mass m having a binary attractive delta potential interaction on the open line. For a full N-body quantum treatment, we derive several results for the scattering of this quantum soliton on a short-range, bounded from below, external potential, restricting to the low energy, elastic regime where the centre-of-mass kinetic energy of the incoming soliton is lower than the internal energy gap of the soliton, that is the minimal energy required to extract particles from the soliton.

Citation

Weiss, C., & Castin, Y. (2012). Elastic scattering of a quantum matter-wave bright soliton on a barrier. Journal of Physics A: Mathematical and Theoretical, 45(45), Article 455306. https://doi.org/10.1088/1751-8113/45/45/455306

Journal Article Type	Article
Publication Date	Nov 16, 2012
Deposit Date	Jul 29, 2014
Publicly Available Date	Sep 5, 2014
Journal	Journal of Physics A: Mathematical and Theoretical
Print ISSN	1751-8113
Electronic ISSN	1751-8121
Publisher	IOP Publishing
Peer Reviewed	Peer Reviewed
Volume	45
Issue	45
Article Number	455306
DOI	https://doi.org/10.1088/1751-8113/45/45/455306