摘要We numerically simulate the dynamical behavior of BEC in one-dimensional incommensurable optical lattice by split-step Fourier method in a time-dependent one-dimensional Gross-Pitaevskii equation. It is indicated that the atom-atom interaction will weaken the localization and broaden the wave function, and it will destroy the adiabaticity of the ramped loading process in both single lattice and incommensurate lattice due to the broadening effect. A band structure model can interpret the difference of the adiabatic condition with non-interacting BEC in these optical lattices.
Abstract：We numerically simulate the dynamical behavior of BEC in one-dimensional incommensurable optical lattice by split-step Fourier method in a time-dependent one-dimensional Gross-Pitaevskii equation. It is indicated that the atom-atom interaction will weaken the localization and broaden the wave function, and it will destroy the adiabaticity of the ramped loading process in both single lattice and incommensurate lattice due to the broadening effect. A band structure model can interpret the difference of the adiabatic condition with non-interacting BEC in these optical lattices.
XU Zhen;DUAN Ya-Fan;ZHOU Shu-Yu;HONG Tao;WANG Yu-Zhu. Effects of Atom-Atom Interaction on Localization and Adiabaticity of BEC in One-Dimensional Disorder Optical Lattice[J]. 中国物理快报, 2009, 26(9): 90303-090303.
XU Zhen, DUAN Ya-Fan, ZHOU Shu-Yu, HONG Tao, WANG Yu-Zhu. Effects of Atom-Atom Interaction on Localization and Adiabaticity of BEC in One-Dimensional Disorder Optical Lattice. Chin. Phys. Lett., 2009, 26(9): 90303-090303.
[1] Anderson P W 1958 Phys. Rev. 109 1492 [2] Fisher M P A, Weichman P B, Grinstein G and Fisher D S1989 Phys. Rev. B 40 546 [3] Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod.Phys. 80 885 [4] Courteille P, Freeland R S, Heinzen D J, van Abeelen F Aand Verhaar B J 1998 Phys. Rev. Lett. 81 69 [5] Inouye S, Andrews M R, Stenger J, Miesner H J,Stamper-Kurn D M and Ketterle W 1998 Nature 392 151 [6] Greiner M, Mandel O, Esslinger T, Hansch T W and Bloch I2002 Nature 415 39 [7] Billy J, Josse V, Zuo Z C, Bernard A, Hambrecht B, LuganP, Clement D, Sanchez-Palencia L, Bouyer P and Aspect A 2008 Nature 453 891 [8] Roati G, D'Errico C, Fallani L, Fattori M, Fort C,Zaccanti M, Modugno G, Modugno M and Inguscio M 2008 Nature 453 895 [9] Anderson B P and Kasevich M A 1998 Science 2821686 [10] Dalfovo F, Giorgini S, Pitaevskii L P and Stringari S1999 Rev. Mod. Phys. 71 463 [11] Liu W M, Fan W B, Zheng W M, Liang J Q and Chui S T 2002 Phys. Rev. Lett. 88 170408 [12] Wu B and Niu Q 2000 Phys. Rev. A 61 023402 [13] Edwards E E, Beeler M, Hong T and Rolston S L 2008 Phys. Rev. Lett. 101 260402 [14] Denschlag J H, Simsarian J E, Haffner H, McKenzie C,Browaeys A, Cho D, Helmerson K, Rolston S L and Phillips W D 2002 J. Phys. B: At. Mol. Opt. Phys. 35 3095
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