dorsal/arxiv
View SchemaLie-type transformations and effective Hamiltonians in nonlinear quantum optics: applications to multilevel systems
| Authors | A. B. Klimov, A. Navarro, L. L. Sanchez-Soto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0102050 |
| URL | https://arxiv.org/abs/quant-ph/0102050 |
Abstract
We reelaborate on a general method for diagonalizing a wide class of nonlinear Hamiltonians describing different quantum optical models. This method makes use of a nonlinear deformation of the usual su(2) algebra and when some physical parameter, dictated by the particular model under consideration, becomes small, it gives a diagonal effective Hamiltonian that describes correctly the dynamics for arbitrary states and long times. We extend the technique to $N$-level atomic systems interacting with quantum fields, finding the corresponding effective Hamiltonians when the condition of $k$-photon resonance is fulfilled.
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"abstract": "We reelaborate on a general method for diagonalizing a wide class of\nnonlinear Hamiltonians describing different quantum optical models. This method\nmakes use of a nonlinear deformation of the usual su(2) algebra and when some\nphysical parameter, dictated by the particular model under consideration,\nbecomes small, it gives a diagonal effective Hamiltonian that describes\ncorrectly the dynamics for arbitrary states and long times. We extend the\ntechnique to $N$-level atomic systems interacting with quantum fields, finding\nthe corresponding effective Hamiltonians when the condition of $k$-photon\nresonance is fulfilled.",
"arxiv_id": "quant-ph/0102050",
"authors": [
"A. B. Klimov",
"A. Navarro",
"L. L. Sanchez-Soto"
],
"categories": [
"quant-ph"
],
"title": "Lie-type transformations and effective Hamiltonians in nonlinear quantum optics: applications to multilevel systems",
"url": "https://arxiv.org/abs/quant-ph/0102050"
},
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