Nonlinear quantum dynamics at a classical second-order resonance
- 1 August 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 48 (2) , 969-978
- https://doi.org/10.1103/physreve.48.969
Abstract
We compare the classical and quantum-mechanical motion of a distribution initially localized on a classical second-order resonance of a driven pendulum. As the driving is increased the quantum state becomes localized about the classically stable region of phase space. The existence of a parity sysmmetry then allows for coherent tunneling between isolated second-order resonances. We compare and contrast the classical and quantum behavior with the aid of perturbation theory.Keywords
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