dorsal/arxiv
View SchemaPhoton-added one-photon and two-photon nonlinear coherent states
| Authors | Xiao-Guang Wang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0001003 |
| URL | https://arxiv.org/abs/quant-ph/0001003 |
| DOI | 10.1139/cjp-79-5-833 |
| Journal | Canadian Journal of Physics, 79(5), 833-840 (2001). |
Abstract
From the photon-added one-photon nonlinear coherent states $a^{\dagger m}|\alpha,f>$, we introduce a new type of nonlinear coherent states with negative values of $m.$ The nonlinear coherent states corresponding to the positive and negative values of $m$ are shown to be the result of nonunitarily deforming the number states $|m>$ and $|0>$, respectively. As an example, we study the sub-Poissonian statistics and squeezing effects of the photon-added geometric states with negative values of $m$ in detail. Finally we investigate the photon-added two-photon nonlinear coherent states and find that they are still the two-photon nonlinear coherent states with certain nonlinear functions.
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"abstract": "From the photon-added one-photon nonlinear coherent states $a^{\\dagger\nm}|\\alpha,f\u003e$, we introduce a new type of nonlinear coherent states with\nnegative values of $m.$ The nonlinear coherent states corresponding to the\npositive and negative values of $m$ are shown to be the result of nonunitarily\ndeforming the number states $|m\u003e$ and $|0\u003e$, respectively. As an example, we\nstudy the sub-Poissonian statistics and squeezing effects of the photon-added\ngeometric states with negative values of $m$ in detail. Finally we investigate\nthe photon-added two-photon nonlinear coherent states and find that they are\nstill the two-photon nonlinear coherent states with certain nonlinear\nfunctions.",
"arxiv_id": "quant-ph/0001003",
"authors": [
"Xiao-Guang Wang"
],
"categories": [
"quant-ph"
],
"doi": "10.1139/cjp-79-5-833",
"journal_ref": "Canadian Journal of Physics, 79(5), 833-840 (2001).",
"title": "Photon-added one-photon and two-photon nonlinear coherent states",
"url": "https://arxiv.org/abs/quant-ph/0001003"
},
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