Evolution of Matter Wave Interference of Bose-Condensed Gas in a 1D Optical Lattice
XU Zhi-Jun1,2, ZHANG Dong-Mei1
1College of Science, Zhejiang University of Technology, Hangzhou 3100322The State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
Evolution of Matter Wave Interference of Bose-Condensed Gas in a 1D Optical Lattice
XU Zhi-Jun1,2;ZHANG Dong-Mei1
1College of Science, Zhejiang University of Technology, Hangzhou 3100322The State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071
摘要For a Bose-condensed gas in a combined potential consisting of an axially-symmetric harmonic magnetic trap and one-dimensional (1D) optical lattice, using the mean-field Gross--Pitaevskii (G-P) equation and the propagator method, we obtain the analytical result of the order parameter for matter wave interference at any time. The evolution of the interference pattern under a variation of the relative phase △ψ between successive subcondensates trapped on an optical lattices is also studied. For △ψ=π, the interference pattern is symmetric with two sharp peaks, which are symmetrically located on a straight line on both sides of a vacant central peak and moving apart from each other. This work is in agreement with available experimental results.
Abstract：For a Bose-condensed gas in a combined potential consisting of an axially-symmetric harmonic magnetic trap and one-dimensional (1D) optical lattice, using the mean-field Gross--Pitaevskii (G-P) equation and the propagator method, we obtain the analytical result of the order parameter for matter wave interference at any time. The evolution of the interference pattern under a variation of the relative phase △ψ between successive subcondensates trapped on an optical lattices is also studied. For △ψ=π, the interference pattern is symmetric with two sharp peaks, which are symmetrically located on a straight line on both sides of a vacant central peak and moving apart from each other. This work is in agreement with available experimental results.
XU Zhi-Jun;ZHANG Dong-Mei. Evolution of Matter Wave Interference of Bose-Condensed Gas in a 1D Optical Lattice[J]. 中国物理快报, 2007, 24(9): 2493-2496.
XU Zhi-Jun, ZHANG Dong-Mei. Evolution of Matter Wave Interference of Bose-Condensed Gas in a 1D Optical Lattice. Chin. Phys. Lett., 2007, 24(9): 2493-2496.
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2007, Vol. 24 
