dorsal/arxiv
View SchemaEffective mass in cavity QED
| Authors | Jonas Larson, Janne Salo, Stig Stenholm |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505181 |
| URL | https://arxiv.org/abs/quant-ph/0505181 |
| DOI | 10.1103/PhysRevA.72.013814 |
| Journal | Phys. Rev. A 72, 013814 (2005). |
Abstract
We consider propagation of a two-level atom coupled to one electro-magnetic mode of a high-Q cavity. The atomic center-of-mass motion is treated quantum mechanically and we use a standing wave shape for the mode. The periodicity of the Hamiltonian leads to a spectrum consisting of bands and gaps, which is studied from a Floquet point of view. Based on the band theory we introduce a set of effective mass parameters that approximately describe the effect of the cavity on the atomic motion, with the emphasis on one associated with the group velocity and on another one that coincides with the conventional effective mass. Propagation of initially Gaussian wave packets is also studied using numerical simulations and the mass parameters extracted thereof are compared with those predicted by the Floquet theory. Scattering and transmission of the wave packet against the cavity are further analyzed, and the constraints for the effective mass approach to be valid are discussed in detail.
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"abstract": "We consider propagation of a two-level atom coupled to one electro-magnetic\nmode of a high-Q cavity. The atomic center-of-mass motion is treated quantum\nmechanically and we use a standing wave shape for the mode. The periodicity of\nthe Hamiltonian leads to a spectrum consisting of bands and gaps, which is\nstudied from a Floquet point of view. Based on the band theory we introduce a\nset of effective mass parameters that approximately describe the effect of the\ncavity on the atomic motion, with the emphasis on one associated with the group\nvelocity and on another one that coincides with the conventional effective\nmass. Propagation of initially Gaussian wave packets is also studied using\nnumerical simulations and the mass parameters extracted thereof are compared\nwith those predicted by the Floquet theory. Scattering and transmission of the\nwave packet against the cavity are further analyzed, and the constraints for\nthe effective mass approach to be valid are discussed in detail.",
"arxiv_id": "quant-ph/0505181",
"authors": [
"Jonas Larson",
"Janne Salo",
"Stig Stenholm"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.013814",
"journal_ref": "Phys. Rev. A 72, 013814 (2005).",
"title": "Effective mass in cavity QED",
"url": "https://arxiv.org/abs/quant-ph/0505181"
},
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