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Chinese Physics, 2000, Vol. 9(8): 586-589    DOI: 10.1088/1009-1963/9/8/007
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

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
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
Abstract  It is shown that photon-excitation state defined by |$\alpha$, k$\rangle$=$\hat{a}_q^{\dagger k}$ (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.
Keywords:  q-nonlinear cavity      photon-excitation state      completeness relation      nonclassical property.  
Received:  30 July 1999      Revised:  07 March 2000      Accepted manuscript online: 
PACS:  03.65.Yz (Decoherence; open systems; quantum statistical methods)  
  05.30.-d (Quantum statistical mechanics)  
  42.50.Ar  
  42.50.Ct (Quantum description of interaction of light and matter; related experiments)  
Fund: 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.

Cite this article: 

Xi Ding-ping (韦联福), Wei Lian-fu (奚定平) q-NONLINEAR CAVITY FIELD STATES GENERATED BY THE EXCITATIONS ON A q-COHERENT STATE 2000 Chinese Physics 9 586

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