Abstract
By developing a three-mode approximation, we derive dynamical equations governing a condensate in a symmetric three-well potential. Based on the dynamical equations, we numerically simulate the dynamical properties of a Bose–Einstein condensate in a symmetric three-well potential. It is shown that, for the zero-phase mode, atomic population in each well oscillates periodically with the amplitude dependent on the initial conditions, and there may exist a critical initial distribution. However, for the π-phase mode, it is possible for the system to exhibit a set of behaviors directly dependent on the ratio between the nonlinearity induced by the atom-atom interactions and the coupling of neighboring wells.
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