dorsal/arxiv
View SchemaMinimum uncertainty measurements of angle and angular momentum
| Authors | Z. Hradil, J. Rehacek, Z. Bouchal, R. Celechovsky, L. L. Sanchez-Soto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605137 |
| URL | https://arxiv.org/abs/quant-ph/0605137 |
| DOI | 10.1103/PhysRevLett.97.243601 |
| Journal | Phys. Rev. Lett. 97, 243601 (2006) |
Abstract
The uncertainty relations for angle and angular momentum are revisited. We use the exponential of the angle instead of the angle itself and adopt dispersion as a natural measure of resolution. We find states that minimize the uncertainty product under the constraint of a given uncertainty in angle or in angular momentum. These states are described in terms of Mathieu wave functions and may be approximated by a von Mises distribution, which is the closest analogous of the Gaussian on the unit circle. We report experimental results using beam optics that confirm our predictions.
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"abstract": "The uncertainty relations for angle and angular momentum are revisited. We\nuse the exponential of the angle instead of the angle itself and adopt\ndispersion as a natural measure of resolution. We find states that minimize the\nuncertainty product under the constraint of a given uncertainty in angle or in\nangular momentum. These states are described in terms of Mathieu wave functions\nand may be approximated by a von Mises distribution, which is the closest\nanalogous of the Gaussian on the unit circle. We report experimental results\nusing beam optics that confirm our predictions.",
"arxiv_id": "quant-ph/0605137",
"authors": [
"Z. Hradil",
"J. Rehacek",
"Z. Bouchal",
"R. Celechovsky",
"L. L. Sanchez-Soto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.97.243601",
"journal_ref": "Phys. Rev. Lett. 97, 243601 (2006)",
"title": "Minimum uncertainty measurements of angle and angular momentum",
"url": "https://arxiv.org/abs/quant-ph/0605137"
},
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