Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field

doi:10.1088/1674-1056/19/12/124205

Abstract In this paper we find that a set of energy eigenstates of a two-dimensional anisotropic harmonic potential in a uniform magnetic field is classified as the atomic coherent states $|\tau\rangle$ in terms of the spin values of j in the Schwinger bosonic realization. The correctness of the above conclusions can be verified by virtue of the entangled state $\langle \eta|$ representation of the state $|\tau\rangle$.

Keywords: two-dimensional anisotropic harmonic oscillator uniform magnetic field atomic coherent state entangled state representation

Received: 02 April 2010
Revised: 16 August 2010
Accepted manuscript online:

PACS:	02.10.Ud	(Linear algebra)
	42.50.Dv	(Quantum state engineering and measurements)
	42.50.Gy	(Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23) and the Shandong Provincal Higher Educational Science and Technology Program of China (Grant Nos. J09LA07 and J10LA15).

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Meng Xiang-Guo(孟祥国), Wang Ji-Suo(王继锁), and Liang Bao-Long(梁宝龙) Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field 2010 Chin. Phys. B 19 124205

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Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field

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