Quasi-Spin Squeezed State for Lipkin Model : Nuclear Physics

概要

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To go beyond the usual Hartree-Fock approximation, a quasi-spin squeezed state is introduced in the Lipkin model. We define the quasi-spin squeezed state from the su(2)-coherent state in a manner similar to that for the ordinary boson squeezed state. In this paper, we deal only with the case that the parameters included in this state are time-independent. It is then seen that the exact energy eigenvalues of the ground state are reproduced with high accuracy in all regions of the force strength χ by using the quasi-spin squeezed state. Also, it is shown that the quasi-spin squeezed state gives a classical counterpart with a certain correction for the Holstein-Primakoff boson representation of su(2)-spin We investigate uncertainty relations for su(2)-generators and the meaning of "squeezing" is clarified.
理論物理学刊行会の論文
1996-10-25