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

Authors
Girardeau, MD Wright, EM
Citation
Md. Girardeau et Em. Wright, Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons, PHYS REV L, 84(23), 2000, pp. 5239-5242
Citations number
32
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
84
Issue
23
Year of publication
2000
Pages
5239 - 5242
Database
ISI
SICI code
0031-9007(20000605)84:23<5239:BOTMTF>2.0.ZU;2-W
Abstract
We show that the time-dependent nonlinear Schrodinger equation of mean-fiel d theory has limited utility for a one-dimensional condensate of impenetrab le bosons. Mean-field theory with its associated order parameter predicts i nterference between split condensates that are recombined, whereas an exact many-body treatment shows minimal interference.