dorsal/arxiv
View SchemaHypergeometric States and Their Nonclassical Properties
| Authors | Hong-Chen Fu, Ryu Sasaki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9610021 |
| URL | https://arxiv.org/abs/quant-ph/9610021 |
| DOI | 10.1063/1.531965 |
| Journal | J.Math.Phys.38:2154-2166,1997 |
Abstract
`Hypergeometric states', which are a one-parameter generalization of binomial states of the single-mode quantized radiation field, are introduced and their nonclassical properties are investigated. Their limits to the binomial states and to the coherent and number states are studied. The ladder operator formulation of the hypergeometric states is found and the algebra involved turns out to be a one-parameter deformation of $su(2)$ algebra. These states exhibit highly nonclassical properties, like sub-Poissonian character, antibunching and squeezing effects. The quasiprobability distributions in phase space, namely the $Q$ and the Wigner functions are studied in detail. These remarkable properties seem to suggest that the hypergeometric states deserve further attention from theoretical and applicational sides of quantum optics.
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"abstract": "`Hypergeometric states\u0027, which are a one-parameter generalization of binomial\nstates of the single-mode quantized radiation field, are introduced and their\nnonclassical properties are investigated. Their limits to the binomial states\nand to the coherent and number states are studied. The ladder operator\nformulation of the hypergeometric states is found and the algebra involved\nturns out to be a one-parameter deformation of $su(2)$ algebra. These states\nexhibit highly nonclassical properties, like sub-Poissonian character,\nantibunching and squeezing effects. The quasiprobability distributions in phase\nspace, namely the $Q$ and the Wigner functions are studied in detail. These\nremarkable properties seem to suggest that the hypergeometric states deserve\nfurther attention from theoretical and applicational sides of quantum optics.",
"arxiv_id": "quant-ph/9610021",
"authors": [
"Hong-Chen Fu",
"Ryu Sasaki"
],
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"quant-ph"
],
"doi": "10.1063/1.531965",
"journal_ref": "J.Math.Phys.38:2154-2166,1997",
"title": "Hypergeometric States and Their Nonclassical Properties",
"url": "https://arxiv.org/abs/quant-ph/9610021"
},
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