#### Condensed Matter Theory

### Christoph Weiss et.al.: Elastic scattering of a quantum matter-wave bright soliton on a barrier

**Author(s)**:**Christoph Weiss, Yvan Castin****Title**:**Date of Upload**: 2012-11-06
**Article**:**J. Phys. A: Math. Theor. 45, 455306 (2012), Institute of Physics****Keywords**: quantum soliton, bright matter, wave soliton, BEC, Bogoliubov, scattering theory, Schrodinger cats**PACS**: 03.75.Lm, 34.50.-s, 03.65.Ge, 03.75.Gg**MSC**: 37K40, 81Q05, 82B23**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.
**URL: http://www.physik.uni-oldenburg.de/condmat/Papers/p_ElastScatBrightSol2012.pdf (text/plain)****URL: http://arxiv.org/abs/1207.7131 (text/plain)**

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

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