Anomalous slow fidelity decay for symmetry breaking perturbations

Details Anomalous slow fidelity decay for symmetry breaking perturbations Anomalous slow fidelity decay for symmetry breaking perturbations

2006-01-10

arxiv.org/abs/nlin/0601020v1

Phys. Rev. Lett. 96, 244105 (2006)

Nonlinear Sciences

Chaotic Dynamics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.96.244105

Symmetries as well as other special conditions can cause anomalous slowing down of fidelity decay. These situations will be characterized, and a family of random matrix models to emulate them generically presented. An analytic solution based on exponentiated linear response will be given. For one representative case the exact solution is obtained from a supersymmetric calculation. The results agree well with dynamical calculations for a kicked top.

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