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Abstract
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In this paper, we introduce even and odd deformed photon added nonlinear coherent
states which in a special case lead to the even and odd photon-added coherent states
|z,m±. After choosing a particular nonlinearity function corresponding to the P¨oschl-Teller
potential, we show that they satisfy the over-completeness relation and thus are coherent
states in actual concept. Meanwhile, by investigating their non-classical features, we find
that in the superposing process the quadrature squeezing disappears. Based on the interaction
of a trapped ion with traveling wave light fields, we give a scheme for how to
prepare even and odd deformed excited nonlinear coherent states. Finally, we compare their
non-classicality aspects with |z,m±.
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