Fidelity and level correlations in the transition from regularity to chaos
arXiv:1204.1747 · doi:10.1209/0295-5075/98/10005
Abstract
Mean fidelity amplitude and parametric energy--energy correlations are calculated exactly for a regular system, which is subject to a chaotic random perturbation. It turns out that in this particular case under the average both quantities are identical. The result is compared with the susceptibility of chaotic systems against random perturbations. Regular systems are more susceptible against random perturbations than chaotic ones.
7 pages, 1 figure
References in corpus (4)
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- Surprising relations between parametric level correlations and fidelity decay
- The transition to chaos of coupled oscillators: An operator fidelity susceptibility study