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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 071, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.071
(Mi sigma197)
 

This article is cited in 9 scientific papers (total in 9 papers)

Exact Solutions for Equations of Bose–Fermi Mixtures in One-Dimensional Optical Lattice

Nikolay A. Kostova, Vladimir S. Gerdjikovb, Tihomir I. Valchevb

a Institute of Electronics, Bulgarian Academy of Sciences, 72 Tsarigradsko chaussee, 1784 Sofia, Bulgaria
b Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko chaussee, 1784 Sofia, Bulgaria
Full-text PDF (248 kB) Citations (9)
References:
Abstract: We present two new families of stationary solutions for equations of Bose–Fermi mixtures with an elliptic function potential with modulus $k$. We also discuss particular cases when the quasiperiodic solutions become periodic ones. In the limit of a sinusoidal potential ($k\to 0$) our solutions model a quasi-one dimensional quantum degenerate Bose–Fermi mixture trapped in optical lattice. In the limit $k\to 1$ the solutions are expressed by hyperbolic function solutions (vector solitons). Thus we are able to obtain in an unified way quasi-periodic and periodic waves, and solitons. The precise conditions for existence of every class of solutions are derived. There are indications that such waves and localized objects may be observed in experiments with cold quantum degenerate gases.
Keywords: Bose–Fermi mixtures; one dimensional optical lattice.
Received: March 30, 2007; in final form May 17, 2007; Published online May 30, 2007
Bibliographic databases:
Document Type: Article
Language: English
Citation: Nikolay A. Kostov, Vladimir S. Gerdjikov, Tihomir I. Valchev, “Exact Solutions for Equations of Bose–Fermi Mixtures in One-Dimensional Optical Lattice”, SIGMA, 3 (2007), 071, 14 pp.
Citation in format AMSBIB
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\by Nikolay A.~Kostov, Vladimir S.~Gerdjikov, Tihomir I.~Valchev
\paper Exact Solutions for Equations of Bose--Fermi Mixtures in One-Dimensional Optical Lattice
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\vol 3
\papernumber 071
\totalpages 14
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Symmetry, Integrability and Geometry: Methods and Applications
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