dorsal/arxiv
View SchemaCooperative quantum jumps for three dipole-interacting atoms
| Authors | Volker Hannstein, Gerhard C. Hegerfeldt |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401050 |
| URL | https://arxiv.org/abs/quant-ph/0401050 |
| DOI | 10.1103/PhysRevA.70.023820 |
| Journal | Phys. Rev. A 70, 023820 (2004) |
Abstract
We investigate the effect of the dipole-dipole interaction on the quantum jump statistics of three atoms. This is done for three-level systems in a V configuration and in what may be called a D configuration. The transition rates between the four different intensity periods are calculated in closed form. Cooperative effects are shown to increase by a factor of 2 compared to two of either three-level systems. This results in transition rates that are, for distances of about one wavelength of the strong transition, up to 100% higher than for independent systems. In addition the double and triple jump rates are calculated from the transition rates. In this case cooperative effects of up to 170% for distances of about one wavelength and still up to 15% around 10 wavelengths are found. Nevertheless, for the parameters of an experiment with Hg+ ions the effects are negligible, in agreement with the experimental data. For three Ba+ ions this seems to indicate that the large cooperative effects observed experimentally cannot be explained by the dipole-dipole interaction.
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"abstract": "We investigate the effect of the dipole-dipole interaction on the quantum\njump statistics of three atoms. This is done for three-level systems in a V\nconfiguration and in what may be called a D configuration. The transition rates\nbetween the four different intensity periods are calculated in closed form.\nCooperative effects are shown to increase by a factor of 2 compared to two of\neither three-level systems. This results in transition rates that are, for\ndistances of about one wavelength of the strong transition, up to 100% higher\nthan for independent systems. In addition the double and triple jump rates are\ncalculated from the transition rates. In this case cooperative effects of up to\n170% for distances of about one wavelength and still up to 15% around 10\nwavelengths are found. Nevertheless, for the parameters of an experiment with\nHg+ ions the effects are negligible, in agreement with the experimental data.\nFor three Ba+ ions this seems to indicate that the large cooperative effects\nobserved experimentally cannot be explained by the dipole-dipole interaction.",
"arxiv_id": "quant-ph/0401050",
"authors": [
"Volker Hannstein",
"Gerhard C. Hegerfeldt"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.023820",
"journal_ref": "Phys. Rev. A 70, 023820 (2004)",
"title": "Cooperative quantum jumps for three dipole-interacting atoms",
"url": "https://arxiv.org/abs/quant-ph/0401050"
},
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