Abstract

The motion of soliton centroid in two-dimensional (2D) Bose-Einstein condensate (BEC) is investigated by using the time-dependent variational method in this paper. Similar to the classical 2D harmonic oscillator’s motion equation, the Gaussian trial function with wavepacket centroid coordinates is chosen to get the motion equation of centroid. The Lissajous figures of trajectory are discovered for the first time by solving the motion equations of different initial conditions. This not only proves that the matter wave soliton possesses the motion characteristics of classical particles and shows macroscopic quantum properties, but also provides a new tool for the study of BEC.

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