Semiclassical approach to fidelity amplitude

Details Semiclassical approach to fidelity amplitude Semiclassical approach to fidelity amplitude

2011-06-21

arxiv.org/abs/1106.4206v2

New J. Phys. 13 (2011) 103040

Nonlinear Sciences

Chaotic Dynamics

10 pages, 9 figures. Version closest to published version

Scientific paper

10.1088/1367-2630/13/10/103040

The fidelity amplitude is a quantity of paramount importance in echo type experiments. We use semiclassical theory to study the average fidelity amplitude for quantum chaotic systems under external perturbation. We explain analytically two extreme cases: the random dynamics limit --attained approximately by strongly chaotic systems-- and the random perturbation limit, which shows a Lyapunov decay. Numerical simulations help us bridge the gap between both extreme cases.

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