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arXiv · 0712.3370

Surprising relations between parametric level correlations and fidelity decay

H. Kohler·I. Smolyarenko·C. Pineda·T. Guhr·F. Leyvraz·T. H. Seligman
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Abstract

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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H. Kohler, I. Smolyarenko, C. Pineda, T. Guhr, F. Leyvraz, T. H. Seligman. 2008-07-15. Surprising relations between parametric level correlations and fidelity decay. https://doi.org/10.1103/physrevlett.100.190404

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