Free Fall of Atomic Laser Beam with Weak Inter-Atomic Interaction

Free falling atomic laser beams with sufficiently weak inter-atomic interaction are investigated. An approximate solution of one-dimensional Gross-Pitaevskii equation with gravitational potential is obtained by using the WKB analysis. This shows the effects of the inter-atomic interaction on the velocities of bosonic atoms. The analysis is extended to investigate the interference pattern of two atomic laser beams.

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