dorsal/arxiv
View SchemaBell's inequalities, multiphoton states and phase space distributions
| Authors | Arvind, N. Mukunda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806049 |
| URL | https://arxiv.org/abs/quant-ph/9806049 |
| DOI | 10.1016/S0375-9601(99)00471-5 |
| Journal | Phys.Lett. A259 (1999) 421-426 |
Abstract
The connection between quantum optical nonclassicality and the violation of Bell's inequalities is explored. Bell type inequalities for the electromagnetic field are formulated for general states of quantised radiation and their violation is connected to other nonclassical properties of the field. This is achieved by considering states with an arbitrary number of photons and carefully identifying the hermitian operators whose expectation values do not admit any local hidden variable description. We relate the violation of these multi-photon inequalities to properties of phase space distribution functions such as the diagonal coherent state distribution function and the Wigner function. Finally, the family of 4-mode states with Gaussian Wigner distributions is analysed, bringing out in this case the connection of violation of Bell type inequalities with the nonclassical property of squeezing.
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"abstract": "The connection between quantum optical nonclassicality and the violation of\nBell\u0027s inequalities is explored. Bell type inequalities for the electromagnetic\nfield are formulated for general states of quantised radiation and their\nviolation is connected to other nonclassical properties of the field. This is\nachieved by considering states with an arbitrary number of photons and\ncarefully identifying the hermitian operators whose expectation values do not\nadmit any local hidden variable description. We relate the violation of these\nmulti-photon inequalities to properties of phase space distribution functions\nsuch as the diagonal coherent state distribution function and the Wigner\nfunction. Finally, the family of 4-mode states with Gaussian Wigner\ndistributions is analysed, bringing out in this case the connection of\nviolation of Bell type inequalities with the nonclassical property of\nsqueezing.",
"arxiv_id": "quant-ph/9806049",
"authors": [
"Arvind",
"N. Mukunda"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(99)00471-5",
"journal_ref": "Phys.Lett. A259 (1999) 421-426",
"title": "Bell\u0027s inequalities, multiphoton states and phase space distributions",
"url": "https://arxiv.org/abs/quant-ph/9806049"
},
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