dorsal/arxiv
View SchemaCombinatorial coherent states via normal ordering of bosons
| Authors | P. Blasiak, K. A. Penson, A. I. Solomon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311033 |
| URL | https://arxiv.org/abs/quant-ph/0311033 |
| DOI | 10.1023/B:MATH.0000027743.04310.df |
| Journal | Letters in Mathematical Physics 67:13-23, 2004 |
Abstract
We construct and analyze a family of coherent states built on sequences of integers originating from the solution of the boson normal ordering problem. These sequences generalize the conventional combinatorial Bell numbers and are shown to be moments of positive functions. Consequently, the resulting coherent states automatically satisfy the resolution of unity condition. In addition they display such non-classical fluctuation properties as super-Poissonian statistics and squeezing.
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"abstract": "We construct and analyze a family of coherent states built on sequences of\nintegers originating from the solution of the boson normal ordering problem.\nThese sequences generalize the conventional combinatorial Bell numbers and are\nshown to be moments of positive functions. Consequently, the resulting coherent\nstates automatically satisfy the resolution of unity condition. In addition\nthey display such non-classical fluctuation properties as super-Poissonian\nstatistics and squeezing.",
"arxiv_id": "quant-ph/0311033",
"authors": [
"P. Blasiak",
"K. A. Penson",
"A. I. Solomon"
],
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"doi": "10.1023/B:MATH.0000027743.04310.df",
"journal_ref": "Letters in Mathematical Physics 67:13-23, 2004",
"title": "Combinatorial coherent states via normal ordering of bosons",
"url": "https://arxiv.org/abs/quant-ph/0311033"
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