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Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons
Authors:Girardeau  Wright
Institution:Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403 and Optical Sciences Center and Department of Physics, University of Arizona, Tucson, Arizona 85721, USA.
Abstract:We show that the time-dependent nonlinear Schrodinger equation of mean-field theory has limited utility for a one-dimensional condensate of impenetrable bosons. Mean-field theory with its associated order parameter predicts interference between split condensates that are recombined, whereas an exact many-body treatment shows minimal interference.
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