Localization and delocalization in the quantum kicked prime number rotator
| dc.creator | Ma, Tao | |
| dc.date | 2007-09-18 | |
| dc.date | 2007-11-01 | |
| dc.date.accessioned | 2026-07-07T08:39:36Z | |
| dc.date.available | 2026-07-07T08:39:36Z | |
| dc.description | The quantum kicked prime number rotator (QKPR) is defined as the rotator whose energy levels are prime numbers. The long time behavior is decided by the kick period $τ$ and kick strength $k$. When $\fracτ{2π}$ is irrational, QKPR is localized because of the equidistribution theorem. When $\fracτ{2π}$ is rational, QKPR is localized for small $k$, because the system seems like a generalized kicked dimer model. We argue for rational $\fracτ{2π}$ QKPR delocalizes for large k. | |
| dc.description | 6 pages, 6 figures | |
| dc.identifier | https://arxiv.org/abs/0709.2735 | |
| dc.identifier | http://arxiv.org/abs/0709.2735 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141128 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Localization and delocalization in the quantum kicked prime number rotator | |
| dc.type | text |