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How long does the quantum chaos last?

Gulio Casati, B. V. Chirikov, O. V. Zhirov

chao-dynarXiv:chao-dyn/9702012

Abstract

The main purpose of this Comment is to point out that besides the short time scale of quantum chaos, confirmed once more in recent paper by Alicki et al, there is generally another time scale tR, which is much longer and on which a partial quantum-classical correspondence persists. Namely, the quantum diffusion closely follows the classical one even though the former is dynamically stable. The absence of the long scale tR in model studied by Alicki et al. is a result of a special choice for one model's parameters value.

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