Phys. Rev. Lett. 84, 5239–5242 (2000)

Breakdown of Time-Dependent Mean-Field Theory for a One-Dimensional Condensate of Impenetrable Bosons

Abstract

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M. D. Girardeau^1,2 and E. M. Wright²
¹Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403
²Optical Sciences Center and Department of Physics, University of Arizona, Tucson, Arizona 85721

Received 28 February 2000; published in the issue dated 5 June 2000

We show that the time-dependent nonlinear Schrödinger 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.

URL:

http://link.aps.org/doi/10.1103/PhysRevLett.84.5239

DOI:

10.1103/PhysRevLett.84.5239

PACS:

03.75.Fi, 05.30.Jp

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Phys. Rev. Lett. 84, 5239–5242 (2000)

Breakdown of Time-Dependent Mean-Field Theory for a One-Dimensional Condensate of Impenetrable Bosons