https://doi.org/10.1140/epjd/e2005-00090-0
Numerical simulation on tunnel splitting of Bose-Einstein condensate in multi-well potentials
1
Department of Physics and Institute of Theoretical Physics, Shanxi
University, Taiyuan 030006, P.R. China
2
Laboratory of Optics and Spectroscopy, Department of Physics, University
of Turku, 20014 Turku, Finland
Corresponding authors: a yajanghao@yahoo.com.cn - b ybzhang@sxu.edu.cn
Received:
24
September
2004
Revised:
29
January
2005
Published online:
14
June
2005
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.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations / 02.60.Cb – Numerical simulation; solution of equations
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005