Parametric correlations versus fidelity decay: the symmetry breaking case.
We provide formulas for fidelity decay and parametric energy correlations for random matrix ensembles where time-reversal invariance of the original Hamiltonian is broken by the perturbation. Like in the case of a symmetry conserving perturbation a simple relation between both quantities exists. Fidelity freeze is observed for systems with even and odd spin.
Instituto de Ciencia de Materiales de Madrid, CSIC, Sor Juana de la Cruz 3, Cantoblanco, ES-28049 Madrid, Spain. hkohler@icmm.csic.es
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Nagao
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Stöckmann