From quantum ladder climbing to classical autoresonance

G. Marcus*, L. Friedland, A. Zigler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

43 Scopus citations

Abstract

A classic autoresonance phenomenon as an alternative to quantum ladder climbing is discussed. Excitation of a classical, nonlinear system to high energies is achieved in the autoresonance phenomenon by using a weak, chirped frequency forcing. The conditions for transition from quantum to classical regimes were elaborated and the similarities and differences between the two approaches were discussed. It was observed that if the conditions for classicality were met, it was possible to use a more transparent classical theory instead of the quantum-mechanical formulation.

Original languageAmerican English
Article number013407
Pages (from-to)134071-134075
Number of pages5
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume69
Issue number1
StatePublished - Jan 2004

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