dorsal/arxiv
View SchemaAn algebraic approach to the Tavis-Cummings problem
| Authors | Ilya P. Vadeiko, Georgii P. Miroshnichenko, Andrei V. Rybin, Jussi Timonen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201126 |
| URL | https://arxiv.org/abs/quant-ph/0201126 |
| DOI | 10.1103/PhysRevA.67.053808 |
Abstract
An algebraic method is introduced for an analytical solution of the eigenvalue problem of the Tavis-Cummings (TC) Hamiltonian, based on polynomially deformed su(2), i.e. su_n(2), algebras. In this method the eigenvalue problem is solved in terms of a specific perturbation theory, developed here up to third order. Generalization to the N-atom case of the Rabi frequency and dressed states is also provided. A remarkable enhancement of spontaneous emission of N atoms in a resonator is found to result from collective effects.
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"abstract": "An algebraic method is introduced for an analytical solution of the\neigenvalue problem of the Tavis-Cummings (TC) Hamiltonian, based on\npolynomially deformed su(2), i.e. su_n(2), algebras. In this method the\neigenvalue problem is solved in terms of a specific perturbation theory,\ndeveloped here up to third order. Generalization to the N-atom case of the Rabi\nfrequency and dressed states is also provided. A remarkable enhancement of\nspontaneous emission of N atoms in a resonator is found to result from\ncollective effects.",
"arxiv_id": "quant-ph/0201126",
"authors": [
"Ilya P. Vadeiko",
"Georgii P. Miroshnichenko",
"Andrei V. Rybin",
"Jussi Timonen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.053808",
"title": "An algebraic approach to the Tavis-Cummings problem",
"url": "https://arxiv.org/abs/quant-ph/0201126"
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