Adiabaticity in Nonlinear Quantum Dynamics: Bose-Einstein Condensate in a Temporally-Varying Box
Soft Condensed Matter
2007-05-23 v1
Abstract
A simple model of an atomic Bose-Einstein condensate in a box whose size varies with time is studied to determine the nature of adiabaticity in the nonlinear dynamics obtained within the Gross-Pitaevskii equation (the nonlinear Schr\"{o}dinger equation). Analytical and numerical methods are used to determine the nature of adiabaticity in this nonlinear quantum system. Criteria for validity of an adiabatic approximation are formulated.
Keywords
Cite
@article{arxiv.cond-mat/0108114,
title = {Adiabaticity in Nonlinear Quantum Dynamics: Bose-Einstein Condensate in a Temporally-Varying Box},
author = {Yehuda B. Band and Boris Malomed and Marek Trippenbach},
journal= {arXiv preprint arXiv:cond-mat/0108114},
year = {2007}
}
Comments
11 pages, 5 figures