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. 5555 2004 The American Physical Society.
|Number of pages
|Physical Review A - Atomic, Molecular, and Optical Physics
|Published - 2004