Mean field loops versus quantum anti-crossing nets in trapped Bose-Einstein condensates
Quantum Physics
2009-11-07 v2 Condensed Matter
Abstract
We study a Bose-Einstein condensate trapped in an asymmetric double well potential. Solutions of the time-independent Gross-Pitaevskii equation reveal intrinsic loops in the energy (or chemical potential) level behavior when the shape of the potential is varied. We investigate the corresponding behavior of the quantum (many-body) energy levels. Applying the two-mode approximation to the bosonic field operators, we show that the quantum energy levels create an anti-crossing net inside the region bounded by the loop of the mean field solution.
Cite
@article{arxiv.quant-ph/0108144,
title = {Mean field loops versus quantum anti-crossing nets in trapped Bose-Einstein condensates},
author = {Zbyszek P. Karkuszewski and Krzysztof Sacha and Augusto Smerzi},
journal= {arXiv preprint arXiv:quant-ph/0108144},
year = {2009}
}
Comments
4 pages, 6 figures, version accepted for publication in European Physical Journal D