Semiclassical approach to fidelity amplitude

Abstract

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.

10 pages, 9 figures. Version closest to published version

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Cited by in corpus (7)

• Measuring nonadiabaticity of molecular quantum dynamics with quantum fidelity and with its efficient semiclassical approximation
• Quantum to classical transition in the work distribution for chaotic systems
• Non-Markovian Quantum Dynamics and Classical Chaos
• Evaluation of the importance of spin-orbit couplings in the nonadiabatic quantum dynamics with quantum fidelity and with its efficient "on-the-fly" ab initio semiclassical approximation
• Quantum non-Markovian behavior at the chaos border
• Lyapunov decay in quantum irreversibility
• Perturbations and chaos in quantum maps