Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons
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.
Girardeau
MD
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.
Wright
EM