Phys. Rev. A 69, 013407 (2004) [5 pages]From quantum ladder climbing to classical autoresonanceReceived 12 August 2003; published 21 January 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.013407
DOI:
10.1103/PhysRevA.69.013407
PACS:
42.50.Hz, 33.80.Gj, 33.80.Wz
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