Stability Analysis of Standing Matter Wave Dark Solitons in a Coupled Bose-Einstein Condensate

Stability of Standing Coupled Dark Solitons

Authors

  • Muhammad Irfan Qadir Department of Mathematics, University of Engineering & Technology, Lahore, Pakistan
  • Naima Irshad Department of Mathematics, University of Engineering & Technology, Lahore, Pakistan

Keywords:

Bose-Einstein condensate, magnetic trap, Gross-Pitaevskii equation, Josephson tunneling, stability

Abstract

We study the existence and stability of standing matter waves in two quasi onedimensional parallel coupled Bose-Einstein condensates in the presence of a magnetic trap. The system is modeled by linearly coupled Gross-Pitaevskii equations. In particular, the coupled dark soliton solutions are considered. The effect of changing strength of the magnetic trap on the stability of dark solitons is studied. It is found that the presence of a magnetic trap does not affect the stability of coupled dark solitons.

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Published

2021-06-17

How to Cite

Qadir, M. I. ., & Irshad, N. . (2021). Stability Analysis of Standing Matter Wave Dark Solitons in a Coupled Bose-Einstein Condensate: Stability of Standing Coupled Dark Solitons. Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, 53(1), 17–24. Retrieved from https://ppaspk.org/index.php/PPAS-A/article/view/355

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