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
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Cited by in corpus (9)
- The Fibonacci quantum walk and its cassical trace map
- Controlled decoherence in a quantum Lévy kicked rotator
- Sub-ballistic behavior in quantum systems with Lévy noise
- Measurements in the Lévy quantum walk
- Quantum walks: decoherence and coin-flipping games
- Fractional dynamics in the Lévy quantum kicked rotor
- Resonant quantum kicked rotor with two internal levels
- Anomalous diffusion in the resonant quantum kicked rotor
- Driving the resonant quantum kicked rotor via extended initial conditions