Scattering approach to fidelity decay in closed systems and parametric level correlations.

Abstract

Based on an exact analytical approach to describe scattering fidelity experiments [Köber et al., Phys. Rev. E 82, 036207 (2010)], we obtain an expression for the fidelity amplitude decay of quantum chaotic or diffusive systems under arbitrary Hermitian perturbations. This allows us to rederive previous separately obtained results in a simpler and unified manner, as is shown explicitly for the case of a global perturbation. The general expression is also used to derive a so far unpublished exact analytical formula for the case of a moving S-wave scatterer. In the second part of the paper, we extend a relation between fidelity decay and parametric level correlations from the universal case of global perturbations to an arbitrary combination of global and local perturbations. Thereby, the relation becomes a versatile tool for the analysis of unknown perturbations.

Cite this paper

@article{Gorin2013ScatteringAT, title={Scattering approach to fidelity decay in closed systems and parametric level correlations.}, author={T Gorin and P C L{\'o}pez V{\'a}zquez}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2013}, volume={88 1}, pages={012906} }