dorsal/arxiv
View SchemaMagnetometry with entangled atomic samples
| Authors | Vivi Petersen, Lars Bojer Madsen, Klaus Molmer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409202 |
| URL | https://arxiv.org/abs/quant-ph/0409202 |
| DOI | 10.1103/PhysRevA.71.012312 |
| Journal | Phys. Rev. A Vol. 71, 012312 (2005) |
Abstract
We present a theory for the estimation of a scalar or a vector magnetic field by its influence on an ensemble of trapped spin polarized atoms. The atoms interact off-resonantly with a continuous laser field, and the measurement of the polarization rotation of the probe light, induced by the dispersive atom-light coupling, leads to spin-squeezing of the atomic sample which enables an estimate of the magnetic field which is more precise than that expected from standard counting statistics. For polarized light and polarized atoms, a description of the non-classical components of the collective spin angular momentum for the atoms and the collective Stokes vectors of the light-field in terms of effective gaussian position and momentum variables is practically exact. The gaussian formalism describes the dynamics of the system very effectively and accounts explicitly for the back-action on the atoms due to measurement and for the estimate of the magnetic field. Multi-component magnetic fields are estimated by the measurement of suitably chosen atomic observables and precision and efficiency is gained by dividing the atomic gas in two or more samples which are entangled by the dispersive atom-light interaction.
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"abstract": "We present a theory for the estimation of a scalar or a vector magnetic field\nby its influence on an ensemble of trapped spin polarized atoms. The atoms\ninteract off-resonantly with a continuous laser field, and the measurement of\nthe polarization rotation of the probe light, induced by the dispersive\natom-light coupling, leads to spin-squeezing of the atomic sample which enables\nan estimate of the magnetic field which is more precise than that expected from\nstandard counting statistics. For polarized light and polarized atoms, a\ndescription of the non-classical components of the collective spin angular\nmomentum for the atoms and the collective Stokes vectors of the light-field in\nterms of effective gaussian position and momentum variables is practically\nexact. The gaussian formalism describes the dynamics of the system very\neffectively and accounts explicitly for the back-action on the atoms due to\nmeasurement and for the estimate of the magnetic field. Multi-component\nmagnetic fields are estimated by the measurement of suitably chosen atomic\nobservables and precision and efficiency is gained by dividing the atomic gas\nin two or more samples which are entangled by the dispersive atom-light\ninteraction.",
"arxiv_id": "quant-ph/0409202",
"authors": [
"Vivi Petersen",
"Lars Bojer Madsen",
"Klaus Molmer"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.012312",
"journal_ref": "Phys. Rev. A Vol. 71, 012312 (2005)",
"title": "Magnetometry with entangled atomic samples",
"url": "https://arxiv.org/abs/quant-ph/0409202"
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