Formation of fundamental structures in Bose-Einstein Condensates
Statistical Mechanics
2009-10-30 v1
Abstract
The meanfield interaction in a Bose condensate provides a nonlinearity which can allow stable structures to exist in the meanfield wavefunction. We discuss a number of examples where condensates, modelled by the one dimensional Gross Pitaevskii equation, can produce gray solitons and we consider in detail the case of two identical condensates colliding in a harmonic trap. Solitons are shown to form from dark interference fringes when the soliton structure, constrained in a defined manner, has lower energy than the interference fringe and an analytic expression is given for this condition.
Cite
@article{arxiv.cond-mat/9711111,
title = {Formation of fundamental structures in Bose-Einstein Condensates},
author = {T. F. Scott and R. J. Ballagh and K. Burnett},
journal= {arXiv preprint arXiv:cond-mat/9711111},
year = {2009}
}
Comments
7 pages, 3 figures, requires ioplppt.sty