Stability of quantum coherence and correlation decay
Abstract
We study the stability of quantum evolution with respect to static perturbations of the unitary propagator in a product Hilbert space of system plus environment. As the stability of state evolution is quantified by fidelity, the stability of coherence is quantified by a novel quantity we call purity-fidelity. We derive a linear response formula for purity-fidelity in terms of a time-correlation function of the generator of perturbation, prove a rigorous inequality between fidelity and purity-fidelity and show that purity-fidelity for Gaussian wave-packets is independent of the Planck constant. Theoretical predictions are demonstrated numerically in an N-level Jaynes-Cummings model.Keywords
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