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Phys. Rev. A 80, 022102 (2009) [4 pages]

Decoherence without classicality in the resonant quantum kicked rotor

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A. Romanelli*
Instituto de Física, Facultad de Ingeniería, Universidad de la República, CC 30, CP 11000 Montevideo, Uruguay

Received 4 May 2009; published 3 August 2009

We study the quantum kicked rotor in resonance subjected to a unitary noise defined through Kraus operators. We show that this type of decoherence does not, in general, lead to the classical diffusive behavior. We find exact analytical expressions for the density matrix and the variance in the primary resonances. The variance does not loose its ballistic behavior; however, the coherence decays as a power law. The secondary resonances are treated numerically, obtaining a power-law decay for the variance and an exponential-law decay for the coherence.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.022102
DOI:
10.1103/PhysRevA.80.022102
PACS:
03.65.Yz, 03.67.−a, 05.45.Mt

*alejo@fing.edu.uy