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Sub-ballistic behaviour of the Quantum Kicked Rotor

A. Romanelli·A. Auyuanet·R. Siri·V. Micenmacher
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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.

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A. Romanelli, A. Auyuanet, R. Siri, V. Micenmacher. 2007-02-02. Sub-ballistic behaviour of the Quantum Kicked Rotor. https://doi.org/10.1016/j.physleta.2007.01.015

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