An implementation of the polynomial Lie algebra methods for solving a class of nonlinear models in quantum optics
| dc.creator | Karassiov, V. P. | |
| dc.creator | Gusev, A. A. | |
| dc.creator | Vinitsky, S. I. | |
| dc.date | 2001-05-31 | |
| dc.date.accessioned | 2026-07-07T06:02:10Z | |
| dc.date.available | 2026-07-07T06:02:10Z | |
| dc.description | 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. | |
| dc.description | 9 pages, LATEX; submitted to Proceedings of XXIII Intternational Colloqium on Group Theoretical Methods in Physics (Dubna, July 31-August 5 2000) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0105152 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0105152 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89511 | |
| dc.subject | Quantum Physics | |
| dc.title | An implementation of the polynomial Lie algebra methods for solving a class of nonlinear models in quantum optics | |
| dc.type | text |