 |
 |
 |
|
|
|
| HAL : in2p3-00416376, version 1 |
| DOI : 10.1088/1742-5468/2009/07/L07001 |
| Fiche détaillée |  Récupérer au format |
|
|
| Journal of Statistical Mechanics: Theory and Experiment (2009) L07001 |
|
|
|
|
| Unexpected features of quantum degeneracies in a pairing model with two integrable limits |
|
|
| J. Dukelsky1J. Okolowicz2M. Ploszajczak3 |
|
|
| (2009) |
|
|
|
| The evolution pattern of level crossings and exceptional points is studied in a non-integrable pairing model with two different integrable limits. One of the integrable limits has two independent parameter-dependent integrals of motion. We demonstrate, and illustrate in our model, that quantum integrability of a system with more than one parameter-dependent integral of motion is always signaled by level crossings of a complex-extended Hamiltonian. We also find that integrability implies a reduced number of exceptional points. Both properties could uniquely characterize quantum integrability in small Hilbert spaces. |
|
|
|
|
|
|
|
|
|
|
|
| 1 : | IEM - Instituto de Estructura de la Materia |
|
|
| 2 : | Institute of Nuclear Physics |
|
|
| 3 : | GANIL - Grand Accélérateur National d'Ions Lourds |
|
|
|
|
|
|
|
|
|
| Thème(s) | : | Physique/Physique Quantique Mathématiques/Algèbres quantiques |
|
|
| algebraic structures of integrable models – quantum chaos |
|
| in2p3-00416376, version 1 | |
| http://hal.in2p3.fr/in2p3-00416376 | |
| oai:hal.in2p3.fr:in2p3-00416376 | |
| Contributeur : Michel Lion | |
| Soumis le : Lundi 14 Septembre 2009, 09:18:21 | |
| Dernière modification le : Lundi 14 Septembre 2009, 20:04:33 | |
