On the Emergence of Nonextensivity at the Edge of Quantum Chaos
Quantum Physics
2018-03-28 v1
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.
Cite
@article{arxiv.quant-ph/0305086,
title = {On the Emergence of Nonextensivity at the Edge of Quantum Chaos},
author = {Yaakov S. Weinstein and Constantino Tsallis and Seth Lloyd},
journal= {arXiv preprint arXiv:quant-ph/0305086},
year = {2018}
}
Comments
Invited paper to appear in "Decoherence and Entropy in Complex Systems", ed. H.T. Elze, Lecture Notes in Physics (Springer, Heidelberg), in press. 13 pages including 6 figures and 1 table