Stability Diagrams of a Bose-Einstein Condensate in a Periodic Array of Quantum Wells
XUE Rui1, LIANG Zhao-Xin2, LI Wei-Dong1
1Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 0300062Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016
Stability Diagrams of a Bose-Einstein Condensate in a Periodic Array of Quantum Wells
XUE Rui1, LIANG Zhao-Xin2, LI Wei-Dong1
1Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 0300062Shenyang National Laboratory for Materials Science, Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016
摘要 With the help of a set of exact closed-form solutions to the stationary Gross-Pitaevskii equation, we comprehensively investigate Landau and dynamical instabilities of a Bose-Einstein condensate in a periodic array of quantum wells. In the tight-binding limit, the analytical expressions for both Landau and dynamical instabilities are obtained in terms of the compressibility and effective mass of the BEC system. Then the stability phase diagrams are shown to be similar to the one in the case of the sinusoidal optical lattice.
Abstract： With the help of a set of exact closed-form solutions to the stationary Gross-Pitaevskii equation, we comprehensively investigate Landau and dynamical instabilities of a Bose-Einstein condensate in a periodic array of quantum wells. In the tight-binding limit, the analytical expressions for both Landau and dynamical instabilities are obtained in terms of the compressibility and effective mass of the BEC system. Then the stability phase diagrams are shown to be similar to the one in the case of the sinusoidal optical lattice.
(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
引用本文:
XUE Rui;LIANG Zhao-Xin;LI Wei-Dong. Stability Diagrams of a Bose-Einstein Condensate in a Periodic Array of Quantum Wells[J]. 中国物理快报, 2009, 26(7): 70303-070303.
XUE Rui, LIANG Zhao-Xin, LI Wei-Dong. Stability Diagrams of a Bose-Einstein Condensate in a Periodic Array of Quantum Wells. Chin. Phys. Lett., 2009, 26(7): 70303-070303.
2009, Vol. 26 
