dorsal/arxiv
View SchemaCollective effects in the collapse-revival phenomenon and squeezing in the Dicke model
| Authors | G. Ramon, C. Brif, A. Mann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9809051 |
| URL | https://arxiv.org/abs/quant-ph/9809051 |
| DOI | 10.1103/PhysRevA.58.2506 |
| Journal | Phys.Rev. A58 (1998) 2506 |
Abstract
Resonant interaction of a collection of two-level atoms with a single-mode coherent cavity field is considered in the framework of the Dicke model. We focus on the role of collective atomic effects in the phenomenon of collapses and revivals of the Rabi oscillations. It is shown that the behavior of the system strongly depends on the initial atomic state. In the case of the initial half-excited Dicke state we account for a number of interesting phenomena. The correlations between the atoms result in a suppression of the revival amplitude, and the revival time is halved, compared to the uncorrelated fully-excited and ground states. The phenomenon of squeezing of the radiation field in the atom-field interaction is also discussed. For the initial fully-excited and ground atomic states, the field is squeezed on the short-time scale, and squeezing can be enhanced by increasing the number of atoms. Some empirical formulas are found which describe the behavior of the system in excellent agreement with numerical results. For the half-excited Dicke state, the field can be strongly squeezed on the long-time scale in the case of two atoms. This kind of squeezing is enhanced by increasing the intensity of the initial coherent field and is of the same nature as revival-time squeezing in the Jaynes-Cummings model. The appearance of this long-time squeezing can be explained using the factorization approximation for semiclassical atomic states.
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"abstract": "Resonant interaction of a collection of two-level atoms with a single-mode\ncoherent cavity field is considered in the framework of the Dicke model. We\nfocus on the role of collective atomic effects in the phenomenon of collapses\nand revivals of the Rabi oscillations. It is shown that the behavior of the\nsystem strongly depends on the initial atomic state. In the case of the initial\nhalf-excited Dicke state we account for a number of interesting phenomena. The\ncorrelations between the atoms result in a suppression of the revival\namplitude, and the revival time is halved, compared to the uncorrelated\nfully-excited and ground states. The phenomenon of squeezing of the radiation\nfield in the atom-field interaction is also discussed. For the initial\nfully-excited and ground atomic states, the field is squeezed on the short-time\nscale, and squeezing can be enhanced by increasing the number of atoms. Some\nempirical formulas are found which describe the behavior of the system in\nexcellent agreement with numerical results. For the half-excited Dicke state,\nthe field can be strongly squeezed on the long-time scale in the case of two\natoms. This kind of squeezing is enhanced by increasing the intensity of the\ninitial coherent field and is of the same nature as revival-time squeezing in\nthe Jaynes-Cummings model. The appearance of this long-time squeezing can be\nexplained using the factorization approximation for semiclassical atomic\nstates.",
"arxiv_id": "quant-ph/9809051",
"authors": [
"G. Ramon",
"C. Brif",
"A. Mann"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.58.2506",
"journal_ref": "Phys.Rev. A58 (1998) 2506",
"title": "Collective effects in the collapse-revival phenomenon and squeezing in the Dicke model",
"url": "https://arxiv.org/abs/quant-ph/9809051"
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