On the Emergence of Nonextensivity at the Edge of Quantum Chaos

Details On the Emergence of Nonextensivity at the Edge of Quantum Chaos On the Emergence of Nonextensivity at the Edge of Quantum Chaos

2003-05-15

arxiv.org/abs/quant-ph/0305086v1

Physics

Quantum Physics

Invited paper to appear in "Decoherence and Entropy in Complex Systems", ed. H.T. Elze, Lecture Notes in Physics (Springer, He

Scientific paper

We explore the border between regular and chaotic quantum dynamics, characterized by a power law decrease in the overlap between a state evolved under chaotic dynamics and the same state evolved under a slightly perturbed dynamics. This region corresponds to the edge of chaos for the classical map from which the quantum chaotic dynamics is derived and can be characterized via nonextensive entropy concepts.

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