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Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons

M. D. Girardeau·E. M. Wright
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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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M. D. Girardeau, E. M. Wright. 2000-02-25. Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons. https://doi.org/10.1103/physrevlett.84.5239

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