Horak, Peter and Barnett, Stephen M. (1999) Creation of coherence in Bose-Einstein condensates by atom detection. Journal of Physics B: Atomic, Molecular and Optical Physics, 32. pp. 3421-3436. ISSN 0953-4075
We investigate the creation of a relative phase between two Bose-Einstein condensates, initially in number states, by detection of atoms and show how the system approaches a coherent state. Two very distinct time scales are found: one for the creation of the interference is of the order of the detection time for a few single atoms and another, for the preparation of coherent states, is of the order of the detection time for a significant fraction of the total number of atoms. Approximate analytic solutions are derived and compared with exact numerical results.
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