(1) Department of Physics and Institute of Theoretical Physics, Shanxi University, Taiyuan, 030006, P.R. China;(2) Department of Physics, University of Turku, Laboratory of Optics and Spectroscopy, 20014 Turku, Finland
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.