Photon-added coherent states as nonlinear coherent states

Details Photon-added coherent states as nonlinear coherent states Photon-added coherent states as nonlinear coherent states

1998-06-18

arxiv.org/abs/quant-ph/9806061v2

Physics

Quantum Physics

Rev Tex file with two figures as postscript files attached. Email: siva@igcar.ernet.in

Scientific paper

10.1088/0305-4470/32/18/317

The states $|\alpha,m>$, defined as ${a^{\dagger}}^{m}|\alpha>$ 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 $|\alpha,m >$.

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