q-NONLINEAR CAVITY FIELD STATES GENERATED BY THE EXCITATIONS ON A q-COHERENT STATE |
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| Authors: | Wei Lian-fu and Xi Ding-ping |
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| Institution: | State Key Laboratory of Functional Materials for Informatics, Shanghai Institute of Metallurgy, Chinese Academy of Sciences, Shanghai 200050, China; Department of Applied Physics, Shenzhen University, Shenzhen 518060, China |
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| Abstract: | 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. |
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| Keywords: | q-nonlinear cavity photon-excitation state completeness relation nonclassical property |
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