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

Navigation Menue

Sie sind hier: Uni. Fak.. Fk. V. Physik. Cond.Mat.. Publications

Author(s): Christoph Weiss, Yvan Castin
Title:
Date of Upload:
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)