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.
| Original language | English |
|---|---|
| Pages (from-to) | 969-978 |
| Number of pages | 10 |
| Journal | Physical Review E |
| Volume | 48 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Jan 1993 |
| Externally published | Yes |
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Dyrting, S., Milburn, G. J., & Holmes, C. A. (1993). Nonlinear quantum dynamics at a classical second-order resonance. Physical Review E, 48(2), 969-978. https://doi.org/10.1103/PhysRevE.48.969