dorsal/arxiv
View SchemaPhoton-added coherent states as nonlinear coherent states
| Authors | S. Sivakumar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806061 |
| URL | https://arxiv.org/abs/quant-ph/9806061 |
| DOI | 10.1088/0305-4470/32/18/317 |
Abstract
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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"abstract": "The states $|\\alpha,m\u003e$, defined as ${a^{\\dagger}}^{m}|\\alpha\u003e$ up to a\nnormalization constant and $m$ is a nonnegative integer, are shown to be the\neigenstates of $f(\\hat{n},m)\\hat{a}$ where $f(\\hat{n},m)$ is a nonlinear\nfunction of the number operator $\\hat{n}$. The explicit form of $f(\\hat{n},m)$\nis constructed. The eigenstates of this operator for negative values of $m$ are\nintroduced. The properties of these states are discussed and compared with\nthose of the state $|\\alpha,m \u003e$.",
"arxiv_id": "quant-ph/9806061",
"authors": [
"S. Sivakumar"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/32/18/317",
"title": "Photon-added coherent states as nonlinear coherent states",
"url": "https://arxiv.org/abs/quant-ph/9806061"
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