dorsal/arxiv
View SchemaGeneration of single-mode SU(1,1) intelligent states and an analytic approach to their quantum statistical properties
| Authors | C. Brif, A. Mann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9707009 |
| URL | https://arxiv.org/abs/quant-ph/9707009 |
| DOI | 10.1088/1355-5111/9/6/004 |
| Journal | Quant.Semiclass.Opt. 9 (1997) 899 |
Abstract
We discuss a scheme for generation of single-mode photon states associated with the two-photon realization of the SU(1,1) algebra. This scheme is based on the process of non-degenerate down-conversion with the signal prepared initially in the squeezed vacuum state and with a measurement of the photon number in one of the output modes. We focus on the generation and properties of single-mode SU(1,1) intelligent states which minimize the uncertainty relations for Hermitian generators of the group. Properties of the intelligent states are studied by using a ``weak'' extension of the analytic representation in the unit disk. Then we are able to obtain exact analytical expressions for expectation values describing quantum statistical properties of the SU(1,1) intelligent states. Attention is mainly devoted to the study of photon statistics and linear and quadratic squeezing.
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"abstract": "We discuss a scheme for generation of single-mode photon states associated\nwith the two-photon realization of the SU(1,1) algebra. This scheme is based on\nthe process of non-degenerate down-conversion with the signal prepared\ninitially in the squeezed vacuum state and with a measurement of the photon\nnumber in one of the output modes. We focus on the generation and properties of\nsingle-mode SU(1,1) intelligent states which minimize the uncertainty relations\nfor Hermitian generators of the group. Properties of the intelligent states are\nstudied by using a ``weak\u0027\u0027 extension of the analytic representation in the\nunit disk. Then we are able to obtain exact analytical expressions for\nexpectation values describing quantum statistical properties of the SU(1,1)\nintelligent states. Attention is mainly devoted to the study of photon\nstatistics and linear and quadratic squeezing.",
"arxiv_id": "quant-ph/9707009",
"authors": [
"C. Brif",
"A. Mann"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1355-5111/9/6/004",
"journal_ref": "Quant.Semiclass.Opt. 9 (1997) 899",
"title": "Generation of single-mode SU(1,1) intelligent states and an analytic approach to their quantum statistical properties",
"url": "https://arxiv.org/abs/quant-ph/9707009"
},
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