Surprising relations between parametric level correlations and fidelity decay
arXiv:0712.3370 · doi:10.1103/PhysRevLett.100.190404
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.
4 pages 3 figures
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- Parametric correlations versus fidelity decay: the symmetry breaking case
- Fidelity and level correlations in the transition from regularity to chaos
- Scattering approach to fidelity decay in closed systems and parametric level correlations
- Parametric Number Covariance in Quantum Chaotic Spectra