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Article overview
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Algebraic fidelity decay for local perturbations | R. Hoehmann
; U. Kuhl
; H.-J. Stoeckmann
; | Date: |
27 Nov 2007 | Abstract: | From a reflection measurement in a rectangular microwave billiard with
randomly distributed scatterers the scattering fidelity was studied. The
position of one of the scatterers is the perturbation parameter. Such
perturbations can be considered as local since wave functions are influenced
only locally, in contrast to, e.g., the situation where the fidelity decay is
caused by the shift of one billiard wall. Using the random plane wave
conjecture, an analytic expression for the fidelity decay due to the shift of
one scatterer has been obtained, yielding an algebraic 1/t decay for long
times. A perfect agreement between experiment and theory has been found,
including a predicted scaling behavior concerning the dependence of the
fidelity decay on the shift distance. The only free parameter has been
determined independently from the variance of the level velocities. From the
spectrum the ordinary fidelity amplitude could be determined also, and was
found to be in good agreement with the scattering fidelity. | Source: | arXiv, 0711.4258 | Services: | Forum | Review | PDF | Favorites |
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