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$\rangle$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.
Received: 30 July 1999
Revised: 07 March 2000
Accepted manuscript online:
PACS:
03.65.Yz
(Decoherence; open systems; quantum statistical methods)
(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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