Physics – Quantum Physics
Scientific paper
1998-09-26
Physics
Quantum Physics
Revtex 5 pages, address: Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China; e-mail:suncp@itp.ac.cn; www
Scientific paper
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.
Gao Y. B.
Sun Chang-Pu
Yu S. X.
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