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Photon-added coherent states as nonlinear coherent states

S. Sivakumar
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Abstract

The states $|α,m>$, defined as ${a^{\dagger}}^{m}|α>$ up to a normalization constant and $m$ is a nonnegative integer, are shown to be the eigenstates of $f(\hat{n},m)\hat{a}$ where $f(\hat{n},m)$ is a nonlinear function of the number operator $\hat{n}$. The explicit form of $f(\hat{n},m)$ is constructed. The eigenstates of this operator for negative values of $m$ are introduced. The properties of these states are discussed and compared with those of the state $|α,m >$.

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S. Sivakumar. 1998-06-24. Photon-added coherent states as nonlinear coherent states. https://doi.org/10.1088/0305-4470%2F32%2F18%2F317

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