Nonlinear quantum dynamics at a classical second-order resonance

S. Dyrting, G. J. Milburn, C. A. Holmes

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)969-978
Number of pages10
JournalPhysical Review E
Issue number2
Publication statusPublished - 1 Jan 1993
Externally publishedYes


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