Phys. Rev. Lett. 100, 190404 (2008) [4 pages]Surprising Relations between Parametric Level Correlations and Fidelity DecayReceived 20 December 2007; revised 20 February 2008; published 14 May 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.190404
DOI:
10.1103/PhysRevLett.100.190404
PACS:
03.65.Sq, 03.65.Yz, 05.30.Ch, 05.45.Mt
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