dorsal/arxiv
View SchemaValidity of adiabaticity in Cavity QED
| Authors | J. Larson, S. Stenholm |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512027 |
| URL | https://arxiv.org/abs/quant-ph/0512027 |
| DOI | 10.1103/PhysRevA.73.033805 |
Abstract
This paper deals with the concept of adiabaticity for fully quantum mechanically cavity QED models. The physically interesting cases of Gaussian and standing wave shapes of the cavity mode are considered. An analytical approximate measure for adiabaticity is given and compared with numerical wave packet simulations. Good agreement is obtained where the approximations are expected to be valid. Usually for cavity QED systems, the large atom-field detuning case is considered as the adiabatic limit. We, however, show that adiabaticity is also valid, for the Gaussian mode shape, in the opposite limit. Effective semiclassical time dependent models, which do not take into account the shape of the wave packet, are derived. Corrections to such an effective theory, which are purely quantum mechanical, are discussed. It is shown that many of the results presented can be applied to time dependent two-level systems.
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"abstract": "This paper deals with the concept of adiabaticity for fully quantum\nmechanically cavity QED models. The physically interesting cases of Gaussian\nand standing wave shapes of the cavity mode are considered. An analytical\napproximate measure for adiabaticity is given and compared with numerical wave\npacket simulations. Good agreement is obtained where the approximations are\nexpected to be valid. Usually for cavity QED systems, the large atom-field\ndetuning case is considered as the adiabatic limit. We, however, show that\nadiabaticity is also valid, for the Gaussian mode shape, in the opposite limit.\nEffective semiclassical time dependent models, which do not take into account\nthe shape of the wave packet, are derived. Corrections to such an effective\ntheory, which are purely quantum mechanical, are discussed. It is shown that\nmany of the results presented can be applied to time dependent two-level\nsystems.",
"arxiv_id": "quant-ph/0512027",
"authors": [
"J. Larson",
"S. Stenholm"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.033805",
"title": "Validity of adiabaticity in Cavity QED",
"url": "https://arxiv.org/abs/quant-ph/0512027"
},
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