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Proceedings Paper

The Lissajous figure of solitons in two-dimensional Bose-Einstein condensate
Author(s): Yuan Ren; Hai-Jun Chen; Guo-Zhi Tang; Ru-Quan Wang
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Paper 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.

Paper Details

Date Published: 20 February 2018
PDF: 9 pages
Proc. SPIE 10697, Fourth Seminar on Novel Optoelectronic Detection Technology and Application, 1069722 (20 February 2018); doi: 10.1117/12.2315228
Show Author Affiliations
Yuan Ren, Space Engineering Univ. (China)
Hai-Jun Chen, Longdong Univ. (China)
Guo-Zhi Tang, Space Engineering Univ. (China)
Ru-Quan Wang, Institute of Physics (China)

Published in SPIE Proceedings Vol. 10697:
Fourth Seminar on Novel Optoelectronic Detection Technology and Application
Weiqi Jin; Ye Li, Editor(s)

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