Non-hermiticity in a kicked model: Decoherence and the semiclassical limit

Details Non-hermiticity in a kicked model: Decoherence and the semiclassical limit Non-hermiticity in a kicked model: Decoherence and the semiclassical limit

2002-01-15

arxiv.org/abs/cond-mat/0201251v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

10.1103/PhysRevE.65.045205

We study the effects of non-hermitian perturbation on a quantum kicked model exhibiting a localization transition. Using an exact renormalization scheme, we show that the critical line separating the extended and localized phases approaches its semiclassical limit as the imaginary part of the kicking parameter is steadily increased. Further, the metastability of the quantum states appears to be directly correlated with the deviation between the semi-classical and quantum results. This direct evidence of quantum-classical correspondence suggests that non-hermitian perturbations may be used to model decoherence.

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