Semiclassical approach to fidelity amplitude

2011/06/30 by Ignacio García-Mata, Raúl O. Vallejos, Raúl O Vallejos +2 · 2 citations
Physics and Astronomy · #Amplitude #Chaotic #Cold Atom Physics and Bose-Einstein Condensates #Limit (mathematics) #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Quantum #Quantum chaos and dynamical systems #Quantum many-body systems #Semiclassical physics #nlin.CD #quant-ph

paper · pdf · doi:10.1088/1367-2630/13/10/103040

published as New J. Phys. 13 (2011) 103040 · 10 pages, 9 figures. Version closest to published version

openalex publication_date 2011/10/31 · arxiv created 2011/11/01 · arxiv updated 2011/11/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The fidelity amplitude (FA) is a quantity of paramount importance in echo-type experiments.We use semiclassical theory to study the average FA 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 to bridge the gap between both the extreme cases.

Citations

• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• Discrepancies between decoherence and the Loschmidt echo

Cited by

• Lyapunov decay in quantum irreversibility
• Non-Markovian quantum dynamics and classical chaos