Gardiner's phonon for Bose-Einstein Condensation: A physical realization of the $q$-deformed Boson

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dc.creatorSun, C. P.
dc.creatorYu, S. X.
dc.creatorGao, Y. B.
dc.date1998-09-26
dc.date.accessioned2026-07-07T06:15:42Z
dc.date.available2026-07-07T06:15:42Z
dc.descriptionThe 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.
dc.descriptionRevtex 5 pages, address: Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China; e-mail:suncp@itp.ac.cn; www: http://www.itp.ac.cn/~suncp
dc.identifierhttps://arxiv.org/abs/quant-ph/9809079
dc.identifierhttp://arxiv.org/abs/quant-ph/9809079
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93835
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.titleGardiner's phonon for Bose-Einstein Condensation: A physical realization of the $q$-deformed Boson
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