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Chinese Physics Letters

Evolution and Collision of Bose-Condensed Gas in One-Dimensional Optical Lattices and a Far-Off Resonant Laser Beam

Shujuan Liu, Xu Zhi-Jun, Sui Cheng-Hua, Huang Lin, Xiong Hong-Wei

Published Jul 30, 2003• 3 citations
Publisher

Abstract

Evolution of a Bose-condensed gas in one-dimensional optical lattices is investigated in the presence of a potential barrier created by a far-off resonant laser beam. After the magnetic trap and optical lattices are switched off, by using the propagator method, the analytical result of the evolution of the density distribution of the Bose-condensed gas is given. In particular, the collision between the condensate and the potential barrier is shown in this paper.

DOI
10.1088/0256-307x/20/8/305

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Evolution of a Bose-condensed gas in one-dimensional optical lattices is investigated in the presence of a potential barrier created by a far-off resonant laser beam. After the magnetic trap and optical lattices are switched off, by using the propagator method, the analytical result of the evolution of the density distribution of the Bose-condensed gas is given. In particular, the collision between the condensate and the potential barrier is shown in this paper.
The evolution and collision of Bose-condensed gases in one-dimensional optical lattices are investigated in the presence of an infinitely deep square well created by two far-off resonant laser beams. The two far-off resonant laser beams are superimposed on the combined potential consisting of a magnetic trap and one-dimensional optical lattices. After the combined potential is switched off, the analytical result of the evolution of the density distribution of the Bose-condensed gas is given by using the propagator method. The collisions between the condensate and the infinitely deep square well are shown in the present work.
For the Bose-condensed gas in a one-dimensional optical lattice, several far-off resonant laser beams are used to split and trap the matter wavepacket after switching off both the magnetic trap and optical lattices. In the presence of two far-off resonant laser beams which are not symmetric about the centre of the matter wavepacket, we propose an experimental scheme to observe the collision between two side peaks after switching off the magnetic trap and optical lattice. We also discuss an experimental scheme to realize a coherent splitting and trapping of the matter wavepacket which has potential application in atom optics.
For the Bose-condensed gas confined in a magnetic trap and in a two-dimensional optical lattice, the non-uniform distribution of atoms in different lattice sites is considered based on Gross-Pitaevskii equation. A propagator method is used to investigate the time evolution of 2D interference patterns after (i)only the optical lattice is swithed off, and (ii)both the optical lattice and the magnetic trap are swithed off. An analytical description on the motion of side peaks in the interference patterns is presented by using the density distribution in a momentum space.