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Numerical Simulation on Tunnel Splitting of Bose-Einstein Condensate in Multi-Well Potentials

Other Condensed Matter 2009-11-11 v1

Abstract

The low-energy-level macroscopic wave functions of the Bose-Einstein condensate(BEC) trapped in a symmetric double-well and a periodic potential are obtained by solving the Gross-Pitaevskii equation numerically. The ground state tunnel splitting is evaluated in terms of the even and odd wave functions corresponding to the global ground and excited states respectively. We show that the numerical result is in good agreement with the analytic level splitting obtained by means of the periodic instanton method.

Keywords

Cite

@article{arxiv.cond-mat/0505297,
  title  = {Numerical Simulation on Tunnel Splitting of Bose-Einstein Condensate in Multi-Well Potentials},
  author = {Yajiang Hao and J. -Q. Liang and Yunbo Zhang},
  journal= {arXiv preprint arXiv:cond-mat/0505297},
  year   = {2009}
}

Comments

22 pages,7 figures