Phys. Rev. Lett. 89, 214101 (2002) [4 pages]Border between Regular and Chaotic Quantum DynamicsReceived 4 June 2002; revised 26 August 2002; published 1 November 2002 We identify a border between regular and chaotic quantum dynamics. The border is 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. For example, the overlap decay for the quantum kicked top is well fitted with [1+(q-1)(t/τ)2]1/(1-q) (with the nonextensive entropic index q and τ depending on perturbation strength) in the region preceding the emergence of quantum interference effects. This region corresponds to the edge of chaos for the classical map from which the quantum chaotic dynamics is derived. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.214101
DOI:
10.1103/PhysRevLett.89.214101
PACS:
05.45.Mt, 03.65.Ta, 03.67.–a, 05.20.–y
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