Criticality in the Quantum Kicked Rotor with a Smooth Potential

Rina Dutta; Pragya Shukla

doi:10.1103/physreve.78.031115

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arXiv · 0808.1783

Criticality in the Quantum Kicked Rotor with a Smooth Potential

Rina Dutta·Pragya Shukla

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Abstract

We investigate the possibility of an Anderson type transition in the quantum kicked rotor with a smooth potential due to dynamical localization of the wavefunctions. Our results show the typical characteristics of a critical behavior i.e multifractal eigenfunctions and a scale-invariant level-statistics at a critical kicking strength which classically corresponds to a mixed regime. This indicates the existence of a localization to delocalization transition in the quantum kicked rotor. Our study also reveals the possibility of other type of transitions in the quantum kicked rotor, with a kicking strength well within strongly chaotic regime. These transitions, driven by the breaking of exact symmetries e.g. time-reversal and parity, are similar to weak-localization transitions in disordered metals.

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Rina Dutta, Pragya Shukla. 2008-08-13. Criticality in the Quantum Kicked Rotor with a Smooth Potential. https://doi.org/10.1103/physreve.78.031115

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