Engineering bright solitons to enhance the stability of two-component Bose-Einstein condensates

R. Radha*, P. S. Vinayagam, J. B. Sudharsan, Wu Ming Liu, Boris A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a system of coupled Gross-Pitaevskii (GP) equations describing a binary quasi-one-dimensional Bose-Einstein condensate (BEC) with intrinsic time-dependent attractive interactions, placed in a time-dependent expulsive parabolic potential, in a special case when the system is integrable (a deformed Manakov's system). Since the nonlinearity in the integrable system which represents binary attractive interactions exponentially decays with time, solitons are also subject to decay. Nevertheless, it is shown that the robustness of bright solitons can be enhanced in this system, making their respective lifetime longer, by matching the time dependence of the interaction strength (adjusted with the help of the Feshbach-resonance management) to the time modulation of the strength of the parabolic potential. The analytical results, and their stability, are corroborated by numerical simulations. In particular, we demonstrate that the addition of random noise does not impact the stability of the solitons.

Original languageEnglish
Pages (from-to)2977-2983
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume379
Issue number45-46
DOIs
StatePublished - 4 Dec 2015

Funding

FundersFunder number
Council of Scientific and Industrial Research03(1323)/14/EMR-II
Department of Atomic Energy, Government of IndiaNBHM/R.P.16/2014/
Department of Science and Technology, Ministry of Science and TechnologySR/S2/HEP-26/2012
NKBRSFC2011CB921502, 2012CB821305
National Natural Science Foundation of China
University Grants Commission40-420/2011(SR)
Department of Science and Technology, Ministry of Science and Technology, India
National Natural Science Foundation of China61227902, 61378017
Bangladesh Council of Scientific and Industrial Research

    Keywords

    • Bose-Einstein condensate
    • Bright soliton
    • GP equation
    • Gauge transformation

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