dorsal/arxiv
View SchemaThe Born and Markov approximations for atom lasers
| Authors | G. M. Moy, J. J. Hope, C. M. Savage |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9801046 |
| URL | https://arxiv.org/abs/quant-ph/9801046 |
| DOI | 10.1103/PhysRevA.59.667 |
Abstract
We discuss the use of the Born and Markov approximations in describing the dynamics of an atom laser. In particular, we investigate the applicability of the quantum optical Born-Markov master equation for describing output coupling. We derive conditions based on the atomic reservoir, and atom dispersion relations for when the Born-Markov approximations are valid and discuss parameter regimes where these approximations fail in our atom laser model. Differences between the standard optical laser model and the atom laser are due to a combination of factors, including the parameter regimes in which a typical atom laser would operate, the different reservoir state which is appropriate for atoms, and the different dispersion relations between atoms and photons. We present results based on an exact method in the regimes in which the Born-Markov approximation fails. The exact solutions in some experimentally relavent parameter regimes give non-exponential loss of atoms from a cavity.
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"abstract": "We discuss the use of the Born and Markov approximations in describing the\ndynamics of an atom laser. In particular, we investigate the applicability of\nthe quantum optical Born-Markov master equation for describing output coupling.\nWe derive conditions based on the atomic reservoir, and atom dispersion\nrelations for when the Born-Markov approximations are valid and discuss\nparameter regimes where these approximations fail in our atom laser model.\nDifferences between the standard optical laser model and the atom laser are due\nto a combination of factors, including the parameter regimes in which a typical\natom laser would operate, the different reservoir state which is appropriate\nfor atoms, and the different dispersion relations between atoms and photons. We\npresent results based on an exact method in the regimes in which the\nBorn-Markov approximation fails. The exact solutions in some experimentally\nrelavent parameter regimes give non-exponential loss of atoms from a cavity.",
"arxiv_id": "quant-ph/9801046",
"authors": [
"G. M. Moy",
"J. J. Hope",
"C. M. Savage"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.59.667",
"title": "The Born and Markov approximations for atom lasers",
"url": "https://arxiv.org/abs/quant-ph/9801046"
},
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