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

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DOI to cite this document:
Goussev, Arseni ; Waltner, Daniel ; Richter, Klaus ; Jalabert, Rodolfo A.
License: Creative Commons: Attribution-Noncommercial-Share Alike 3.0
PDF - Published Version
PDF - Accepted Version
arXiv PDF (29.07.2008)
PDF - Submitted Version
arXiv PDF (03.04.2008)
Date of publication of this fulltext: 05 Aug 2009 13:57


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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