Gap solitons in superfluid boson-fermion mixtures

被引:23
作者
Adhikari, Sadhan K. [1 ]
Malomed, Boris A. [2 ]
机构
[1] Sao Paulo State Univ, Inst Fis Teor, BR-405900 Sao Paulo, Brazil
[2] Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Phys Elect, IL-69978 Tel Aviv, Israel
关键词
D O I
10.1103/PhysRevA.76.043626
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Using coupled equations for the bosonic and fermionic order parameters, we construct families of gap solitons (GSs) in a nearly one-dimensional Bose-Fermi mixture trapped in a periodic optical-lattice (OL) potential, the boson and fermion components being in the states of the Bose-Einstein condensation and Bardeen-Cooper-Schrieffer superfluid, respectively. Fundamental GSs are compact states trapped, essentially, in a single cell of the lattice. Full families of such solutions are constructed in the first two band gaps of the OL-induced spectrum, by means of variational and numerical methods, which are found to be in good agreement. The families include both intragap and intergap solitons, with the chemical potentials of the boson and fermion components falling in the same or different band gaps, respectively. Nonfundamental states, extended over several lattice cells, are constructed too. The GSs are stable against strong perturbations.
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页数:9
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