OSCILLATORY DARK SOLITON IN ULTRACOLD FERMI GAS DURING BEC-BCS CROSSOVER WITH HARMONIC TRAPPING POTENTIAL

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Published: 2016-03-19

Page: 116-119


SHAOHONG LI

School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu 212003, China.

XINWEI FAN

School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu 212003, China.

YALUN LI

School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu 212003, China.

YING WANG *

School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu 212003, China.

*Author to whom correspondence should be addressed.


Abstract

Based on the polytropic approximation, we model the ultracold Fermi gas in harmonic trapping potential with three dimensional generalized Gross-Pitaevskii equation (GGPE). Through selfsimilar approach and without introducing any integrability constraint, we analytically solve the 3D GGPE identifying the oscillatory dark soliton solution. The oscillation period we calculated varies with polytropic index, corroborating qualitatively the feature observed in relevant experimental work.

Keywords: Gross-pitaevskii equation, self-similar transformation, soliton


How to Cite

LI, S., FAN, X., LI, Y., & WANG, Y. (2016). OSCILLATORY DARK SOLITON IN ULTRACOLD FERMI GAS DURING BEC-BCS CROSSOVER WITH HARMONIC TRAPPING POTENTIAL. Journal of Applied Physical Science International, 6(2), 116–119. Retrieved from https://ikprress.org/index.php/JAPSI/article/view/3321

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