Localization and delocalization in the quantum kicked prime number rotator
Tao Ma · arXiv (Cornell University) · 2007
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.