• Effects of three-body atomic interaction and optical lattice on solitons in quasi-one-dimensional Bose–Einstein condensate

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    • Keywords


      Bose–Einstein condensates; solitons; Vakhitov–Kolokolov criterion; optical lattice; critical number of atoms.

    • Abstract


      We make use of a coordinate-free approach to implement Vakhitov–Kolokolov criterion for stability analysis in order to study the effects of three-body atomic recombination and lattice potential on the matter–wave bright solitons formed in Bose–Einstein condensates. We analytically demonstrate that (i) the critical number of atoms in a stable BEC soliton is just half the number of atoms in a marginally stable Townes-like soliton and (ii) an additive optical lattice potential further reduces this number by a factor of $\sqrt{1 − b_{g3}$ with $g_{3}$ the coupling constant of the lattice potential and $b = 0.7301$.

    • Author Affiliations


      S K Golam Ali1 B Talukdar1 Aparna Saha1

      1. Department of Physics, Visva-Bharati University, Santiniketan 731 235, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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