Surprising relations between parametric level correlations and fidelity decay.
Relations among fidelity, cross-form-factor (i.e., parametric level correlations), and level velocity correlations are found both by deriving a Ward identity in a two-matrix model 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.
Fachbereich Physik, Universität Duisburg-Essen, Duisburg, Germany.
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Kohler
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Smolyarenko
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Pineda
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Guhr
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Leyvraz
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Seligman