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

Christoph Weiss (1) , Yvan Castin (2)

1 Institut für Physik
2 LKB (Lhomond) - Laboratoire Kastler Brossel

We consider a one-dimensional matter-wave bright soliton, corresponding to the ground bound state of N 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.

Mots clés: quantum soliton; bright matter-wave soliton; BEC; Bogoliubov; scattering theory; Schrodinger cats

Domaines: Gaz Quantiques [cond-mat.quant-gas]

Christoph Weiss, Yvan Castin. Elastic scattering of a quantum matter-wave bright soliton on a barrier. Journal of Physics A: Mathematical and Theoretical, 2012, 45, pp.455306. ⟨hal-00721564⟩