dorsal/arxiv
View SchemaA Local Hidden Variables Model for Experiments involving Photon Pairs Produced in Parametric Down Conversion
| Authors | Alberto Casado, Trevor Marshall, Ramon Risco-Delgado, Emilio Santos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202097 |
| URL | https://arxiv.org/abs/quant-ph/0202097 |
Abstract
In previous articles we have developed a theory of down conversion in nonlinear crystals, based on the Wigner representation of the radiation field. Taking advantage of the fact that the Wigner function is always positive in parametric down conversion experiments, we construct a local hidden variables model where the amplitudes of the field modes are taken as random variables whose probability distribution is the Wigner function. In order to achieve our goal we give a model of detection which is fully local but departs from quantum theory. In our model the zeropoint (vacuum) level of radiation lies below a threshold of the detectors and only signals above the threshold are detectable. The predictions of the model agree with those of quantum mechanics if the signal intensities surpase some level and the efficiency is low. This is consistent with the known fact that quantum mechanics is compatible with local realism in that case (a fact called the ``efficiency loophole''). Our model gives a number of constraints which do not follow from the quantum theory of detection and are experimentally testable.
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"abstract": "In previous articles we have developed a theory of down conversion in\nnonlinear crystals, based on the Wigner representation of the radiation field.\nTaking advantage of the fact that the Wigner function is always positive in\nparametric down conversion experiments, we construct a local hidden variables\nmodel where the amplitudes of the field modes are taken as random variables\nwhose probability distribution is the Wigner function. In order to achieve our\ngoal we give a model of detection which is fully local but departs from quantum\ntheory. In our model the zeropoint (vacuum) level of radiation lies below a\nthreshold of the detectors and only signals above the threshold are detectable.\nThe predictions of the model agree with those of quantum mechanics if the\nsignal intensities surpase some level and the efficiency is low. This is\nconsistent with the known fact that quantum mechanics is compatible with local\nrealism in that case (a fact called the ``efficiency loophole\u0027\u0027). Our model\ngives a number of constraints which do not follow from the quantum theory of\ndetection and are experimentally testable.",
"arxiv_id": "quant-ph/0202097",
"authors": [
"Alberto Casado",
"Trevor Marshall",
"Ramon Risco-Delgado",
"Emilio Santos"
],
"categories": [
"quant-ph"
],
"title": "A Local Hidden Variables Model for Experiments involving Photon Pairs Produced in Parametric Down Conversion",
"url": "https://arxiv.org/abs/quant-ph/0202097"
},
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