Surprising relations between parametric level correlations and fidelity decay

Details Surprising relations between parametric level correlations and fidelity decay Surprising relations between parametric level correlations and fidelity decay

2007-12-20

arxiv.org/abs/0712.3370v2

Phys. Rev. Lett 100, 190404 (2008)

Nonlinear Sciences

Chaotic Dynamics

4 pages 3 figures

Scientific paper

10.1103/PhysRevLett.100.190404

Unexpected relations between fidelity decay and cross form--factor, i.e., parametric level correlations in the time domain are found both by a heuristic argument and by comparing exact results, using supersymmetry techniques, in the framework of random matrix theory. A power law decay near Heisenberg time, as a function of the relevant parameter, is shown to be at the root of revivals recently discovered for fidelity decay. For cross form--factors the revivals are illustrated by a numerical study of a multiply kicked Ising spin chain.

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