中国物理B ›› 2000, Vol. 9 ›› Issue (8): 586-589.doi: 10.1088/1009-1963/9/8/007

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q-NONLINEAR CAVITY FIELD STATES GENERATED BY THE EXCITATIONS ON A q-COHERENT STATE

奚定平1, 韦联福2   

  1. (1)Department of Applied Physics, Shenzhen University, Shenzhen 518060, China; (2)State Key Laboratory of Functional Materials for Informatics, Shanghai Institute of Metallurgy, Chinese Academy of Sciences, Shanghai 200050, China
  • 收稿日期:1999-07-30 修回日期:2000-03-07 出版日期:2000-08-15 发布日期:2005-06-10
  • 基金资助:
    Project supported by K. C. Wong Education Foundation, Hong Kong,the Natural Science Foundation of China and the Doctoral Education Fund of the Education Ministry of China.

q-NONLINEAR CAVITY FIELD STATES GENERATED BY THE EXCITATIONS ON A q-COHERENT STATE

Wei Lian-fu (奚定平)a, Xi Ding-ping (韦联福)b   

  1. a State Key Laboratory of Functional Materials for Informatics, Shanghai Institute of Metallurgy, Chinese Academy of Sciences, Shanghai 200050, China; b Department of Applied Physics, Shenzhen University, Shenzhen 518060, China
  • Received:1999-07-30 Revised:2000-03-07 Online:2000-08-15 Published:2005-06-10
  • Supported by:
    Project supported by K. C. Wong Education Foundation, Hong Kong,the Natural Science Foundation of China and the Doctoral Education Fund of the Education Ministry of China.

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摘要： It is shown that photon-excitation state defined by |α,k〉q=a{\dagger k}q|α〉q (k=1,2,3...) up to a normalization constant can be produced in nonlinear processes in q-nonlinear cavities. The mathematical and quantum statistical properties of this state are studied in detail. We show that this state, along with the number states absented in it, forms a complete set. We also show by numerical method that this state exhibits quantum-squeezing for some values of |α| and always reveals quantum-antibunching effect.

Abstract: It is shown that photon-excitation state defined by |$\alpha$, k$\rangle$q =$\hat{a}_q^{\dagger k}$ (k=1,2,3...) up $\dagger$ to a normalization constant can be produced in nonlinear processes in q-nonlinear cavities. The mathematical and quantum statistical properties of this state are studied in detail. We show that this state, along with the number states absented in it, forms a complete set. We also show by numerical method that this state exhibits quantum-squeezing for some values of |$\alpha$| and always reveals quantum-antibunching effect.

Key words: q-nonlinear cavity, photon-excitation state, completeness relation, nonclassical property.

中图分类号:  (Decoherence; open systems; quantum statistical methods)

  • 03.65.Yz
05.30.-d (Quantum statistical mechanics) 42.50.Ct (Quantum description of interaction of light and matter; related experiments)