Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-05-11
Physics
Condensed Matter
Other Condensed Matter
22 pages,7 figures
Scientific paper
10.1140/epjd/e2005-00090-0
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.
Hao Yajiang
Liang Jing-Qiu
Zhang Yunbo
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