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

It is shown that photon-excitation state defined by |\alpha, k\rangle_q =\hata_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.