Sub-ballistic behaviour of the Quantum Kicked Rotor
arXiv:quant-ph/0607146 · doi:10.1016/j.physleta.2007.01.015
Abstract
We study the resonances of the quantum kicked rotor subjected to an excitation that follows an aperiodic Fibonacci prescription. In such a case the secondary resonances show a sub-ballistic behaviour like the quantum walk with the same aperiodic prescription for the coin. The principal resonances maintain the well-known ballistic behaviour. Then the parallelism previusly established between the kicked rotor and the generalized quantum walk is retained only with the secondary resonances.
9 pages, 3 figures, to appear in Phys. Lett. A