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arXiv · 1207.7131

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

Christoph Weiss·Yvan Castin
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Abstract

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.

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Christoph Weiss, Yvan Castin. 2012-07-30. Elastic scattering of a quantum matter-wave bright soliton on a barrier. https://doi.org/10.1088/1751-8113%2F45%2F45%2F455306

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