Gardiner's phonon for Bose-Einstein Condensation: A physical realization of the $q$-deformed Boson
Sun, C. P. ; Yu, S. X. ; Gao, Y. B.
arXiv, 9809079 / Harvested from arXiv
Text on arXiv
The Gardiner's phonon presented for a particle-number conserving approximation method to describe the dynamics of Bose-Einstein Condesation (BEC) (C.W. Gardiner, Phys. Rev. A 56, 1414 (1997)) is shown to be a physical realization of the $q$-deformed boson, which was abstractly developed in quantum group theory. On this observation, the coherent output of BEC atoms driven by a radio frequency (r.f) field is analyzed in the viewpoint of a $q$-deformed Fock space. It is illustrated that the $q$-deformation of bosonic commutation relation corresponds to the non-ideal BEC with the finite particle number $N$ of condensated atoms. Up to order 1/N, the coherent output state of the untrapped atoms minimizes the uncertainty relation like a coherent state does in the ideal case of BEC that $N$ approaches infinity or $q=1-2/N$ approaches one.
Publié le : 1998-09-26
Classification:  Quantum Physics,  Mathematical Physics 
@article{9809079,
     author = {Sun, C. P. and Yu, S. X. and Gao, Y. B.},
     title = {Gardiner's phonon for Bose-Einstein Condensation: A physical realization
  of the $q$-deformed Boson},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9809079}
}

Sun, C. P.; Yu, S. X.; Gao, Y. B. Gardiner's phonon for Bose-Einstein Condensation: A physical realization
  of the $q$-deformed Boson. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9809079/