On the Emergence of Nonextensivity at the Edge of Quantum Chaos
Yaakov S. Weinstein, Constantino Tsallis, Seth Lloyd
Abstract
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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