dorsal/arxiv
View SchemaSpin squeezing and precision probing with light and samples of atoms in the gaussian approximation
| Authors | Lars Bojer Madsen, Klaus Mølmer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0406146 |
| URL | https://arxiv.org/abs/quant-ph/0406146 |
| DOI | 10.1103/PhysRevA.70.052324 |
| Journal | Phys. Rev. A Vol. 70, 052324 (2004) |
Abstract
We consider an ensemble of trapped atoms interacting with a continuous wave laser field. For sufficiently polarized atoms and for a polarized light field, we may approximate the non-classical components of the collective spin angular momentum operator for the atoms and the Stokes vectors of the field by effective position and momentum variables for which we assume a gaussian state. Within this approximation, we present a theory for the squeezing of the atomic spin by polarization rotation measurements on the probe light. We derive analytical expressions for the squeezing with and without inclusion of the noise effects introduced by atomic decay and by photon absorption. The theory is readily adapted to the case of inhomogeneous light-atom coupling [A. Kuzmich and T.A.B. Kennedy, Phys. Rev. Lett. Vol. 92, 030407 (2004)]. As a special case, we show how to formulate the theory for an optically thick sample by slicing the gas into pieces each having only small photon absorption probability. Our analysis of a realistic probing and measurement scheme shows that it is the maximally squeezed component of the atomic gas that determines the accuracy of the measurement.
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"abstract": "We consider an ensemble of trapped atoms interacting with a continuous wave\nlaser field. For sufficiently polarized atoms and for a polarized light field,\nwe may approximate the non-classical components of the collective spin angular\nmomentum operator for the atoms and the Stokes vectors of the field by\neffective position and momentum variables for which we assume a gaussian state.\nWithin this approximation, we present a theory for the squeezing of the atomic\nspin by polarization rotation measurements on the probe light. We derive\nanalytical expressions for the squeezing with and without inclusion of the\nnoise effects introduced by atomic decay and by photon absorption. The theory\nis readily adapted to the case of inhomogeneous light-atom coupling [A. Kuzmich\nand T.A.B. Kennedy, Phys. Rev. Lett. Vol. 92, 030407 (2004)]. As a special\ncase, we show how to formulate the theory for an optically thick sample by\nslicing the gas into pieces each having only small photon absorption\nprobability. Our analysis of a realistic probing and measurement scheme shows\nthat it is the maximally squeezed component of the atomic gas that determines\nthe accuracy of the measurement.",
"arxiv_id": "quant-ph/0406146",
"authors": [
"Lars Bojer Madsen",
"Klaus M\u00f8lmer"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.052324",
"journal_ref": "Phys. Rev. A Vol. 70, 052324 (2004)",
"title": "Spin squeezing and precision probing with light and samples of atoms in the gaussian approximation",
"url": "https://arxiv.org/abs/quant-ph/0406146"
},
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