From quantum ladder climbing to classical autoresonance


Marcus, G., Friedland, L. & Zigler, A. From quantum ladder climbing to classical autoresonance. Physical Review A 69, 1, (2004).
Full text.pdf360 KB

Date Published:



The autoresonance phenomenon allows excitation of a classical, oscillatory nonlinear system to high energies by using a weak, chirped frequency forcing. Ladder climbing is its counterpart in quantum mechanics. Here, for the first time to our knowledge, conditions for the transition from the quantum to the classical regimes are outlined. The similarities and differences between the two approaches are presented.


Last updated on 04/26/2015