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Fidelity Decay for Phase Space Displacements

Diego V. Bevilaqua·Eric J. Heller
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Abstract

In this letter we analyse the behavior of fidelity decay under a very specific kind of perturbation: phase space displacements. Under these perturbations, systems will decay following the Lyapunov regime only. Others universal regimes discussed in the literature are not presented in this case; instead, for small values of the perturbation we observe quantum freeze of the fidelity. We also show that it is possible to connect this result with the incoherent neutron scattering problem

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Diego V. Bevilaqua, Eric J. Heller. 2004-09-03. Fidelity Decay for Phase Space Displacements. https://arxiv.org/abs/nlin/0409007

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