dorsal/arxiv
View SchemaAn implementation of the polynomial Lie algebra methods for solving a class of nonlinear models in quantum optics
| Authors | V. P. Karassiov, A. A. Gusev, S. I. Vinitsky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0105152 |
| URL | https://arxiv.org/abs/quant-ph/0105152 |
Abstract
We develop some calculation schemes to determine dynamics of a wide class of integrable quantum-optical models using their symmetry adapted reformulation in terms of polynomial Lie algebras $su_{pd}(2)$. These schemes, based on "diagonal" representations of model evolution operators (via diagonalizing Hamiltonians with the help of the $su_{pd}(2)$ defining relations), are implemented in the form adapted for numerical calculations. Their efficiency is demonstrated on the example of the second-harmonic-generation model.
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"abstract": "We develop some calculation schemes to determine dynamics of a wide class of\nintegrable quantum-optical models using their symmetry adapted reformulation in\nterms of polynomial Lie algebras $su_{pd}(2)$. These schemes, based on\n\"diagonal\" representations of model evolution operators (via diagonalizing\nHamiltonians with the help of the $su_{pd}(2)$ defining relations), are\nimplemented in the form adapted for numerical calculations. Their efficiency is\ndemonstrated on the example of the second-harmonic-generation model.",
"arxiv_id": "quant-ph/0105152",
"authors": [
"V. P. Karassiov",
"A. A. Gusev",
"S. I. Vinitsky"
],
"categories": [
"quant-ph"
],
"title": "An implementation of the polynomial Lie algebra methods for solving a class of nonlinear models in quantum optics",
"url": "https://arxiv.org/abs/quant-ph/0105152"
},
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