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Loschmidt echo for local perturbations: non-monotonic cross-over from the Fermi-golden-rule to the escape-rate regime

URN to cite this document:
urn:nbn:de:bvb:355-epub-78003
Goussev, Arseni ; Waltner, Daniel ; Richter, Klaus ; Jalabert, Rodolfo A.
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License: Creative Commons Attribution Non-commercial Share Alike 3.0
PDF - Published Version
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PDF - Accepted Version
arXiv PDF (29.07.2008)
(463kB)
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PDF - Submitted Version
arXiv PDF (03.04.2008)
(665kB)
Date of publication of this fulltext: 05 Aug 2009 13:57



Abstract

We address the sensitivity of quantum mechanical time evolution by considering the time decay of the Loschmidt echo (LE) (or fidelity) for local perturbations of the Hamiltonian. Within a semiclassical approach, we derive analytical expressions for the LE decay for chaotic systems for the whole range from weak to strong local perturbations and identify different decay regimes which complement ...

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