中国物理B ›› 2012, Vol. 21 ›› Issue (5): 54208-054208.doi: 10.1088/1674-1056/21/5/054208

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Quantum phase distribution and the number–phase Wigner function of the generalized squeezed vacuum states associated with solvable quantum systems

G. R. Honarasa1,M. K. Tavassoly2,M. Hatami2   

  1. 1. Department of Physics, Faculty of Science, Shiraz University of Technology, Shiraz 71555, Iran;
    2. Atomic and Molecular Group, Faculty of Physics, Yazd University, Yazd, Iran
  • 收稿日期:2011-11-08 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01

Quantum phase distribution and the number–phase Wigner function of the generalized squeezed vacuum states associated with solvable quantum systems

G. R. Honarasaa)†, M. K. Tavassolyb), and M. Hatamib)   

  1. a. Department of Physics, Faculty of Science, Shiraz University of Technology, Shiraz 71555, Iran;
    b. Atomic and Molecular Group, Faculty of Physics, Yazd University, Yazd, Iran
  • Received:2011-11-08 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01

摘要: The quantum phase properties of the generalized squeezed vacuum states associated with solvable quantum systems are studied by using the Pegg--Barnett formalism. Then, two nonclassical features, i.e., squeezing in the number and phase operators, as well as the number--phase Wigner function of the generalized squeezed states are investigated. Due to some actual physical situations, the present approach is applied to two classes of generalized squeezed states:solvable quantum systems with discrete spectra and nonlinear squeezed states with particular nonlinear functions. Finally, the time evolution of the nonclassical properties of the considered systems has been numerically investigated.

关键词: squeezed vacuum states, solvable quantum systems, phase distribution, number--phase Wigner function

Abstract: The quantum phase properties of the generalized squeezed vacuum states associated with solvable quantum systems are studied by using the Pegg--Barnett formalism. Then, two nonclassical features, i.e., squeezing in the number and phase operators, as well as the number--phase Wigner function of the generalized squeezed states are investigated. Due to some actual physical situations, the present approach is applied to two classes of generalized squeezed states:solvable quantum systems with discrete spectra and nonlinear squeezed states with particular nonlinear functions. Finally, the time evolution of the nonclassical properties of the considered systems has been numerically investigated.

Key words: squeezed vacuum states, solvable quantum systems, phase distribution, number--phase Wigner function

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
03.65.-w (Quantum mechanics)