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Stability of matter-wave solitons in optical lattices

  • Cold Matter and Quantum Gases
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Abstract.

We consider localized states of both single- and two-component Bose-Einstein condensates (BECs) confined in a potential resulting from the superposition of linear and nonlinear optical lattices and make use of Vakhitov-Kolokolov criterion to investigate the effect of nonlinear lattice on the stability of the soliton solutions in the linear optical lattice (LOL). For the single-component case we show that a weak nonlinear lattice has very little effect on the stability of such solitons while sufficiently strong nonlinear optical lattice (NOL) squeezes them to produce narrow bound states. For two-component condensates we find that when the strength of the NOL (γ 1) is less than that of the LOL (V 0) a relatively weak intra-atomic interaction (IAI) has little effect on the stability of the component solitons. This is true for both attractive and repulsive IAI. A strong attractive IAI, however, squeezes the BEC solitons while a similar repulsive IAI makes the component solitons wider. For γ 1 > V 0, only a strong attractive IAI squeezes the BEC solitons but the squeezing effect is less prominent than that found for γ 1 < V 0. We make useful checks on the results of our semianalytical stability analysis by solving the appropriate Gross-Pitaevskii equations numerically.

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Authors and Affiliations

  1. Department of Physics, Visva-Bharati University, Santiniketan, 731235, India

    Sk. Golam Ali, S. K. Roy & B. Talukdar

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  1. Sk. Golam Ali
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  2. S. K. Roy
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  3. B. Talukdar
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Correspondence to B. Talukdar.

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Golam Ali, S., Roy, S. & Talukdar, B. Stability of matter-wave solitons in optical lattices. Eur. Phys. J. D 59, 269–277 (2010). https://doi.org/10.1140/epjd/e2010-00146-0

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  • DOI: https://doi.org/10.1140/epjd/e2010-00146-0

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