TY - JOUR
T1 - From quantum ladder climbing to classical autoresonance
AU - Marcus, G.
AU - Friedland, L.
AU - Zigler, A.
PY - 2004/1
Y1 - 2004/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=5744228151&partnerID=8YFLogxK
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AN - SCOPUS:5744228151
SN - 1050-2947
VL - 69
SP - 134071
EP - 134075
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 013407
ER -