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Эта публикация цитируется в 9 научных статьях (всего в 9 статьях)
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
Аннотация:
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.
Ключевые слова:
Bose–Fermi mixtures; one dimensional optical lattice.
Поступила: 30 марта 2007 г.; в окончательном варианте 17 мая 2007 г.; опубликована 30 мая 2007 г.
Образец цитирования:
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.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma197 https://www.mathnet.ru/rus/sigma/v3/p71
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