Abstract
We theoretically explore the eigenstates of a coupled p:q commensurate harmonic oscillator with SU(2) coupling interactions under the canonical transformation. The spatial patterns of the high-order eigenstates are found to be markedly localized on Lissajous figures from single to multiple periodic orbits. Controlling the pumping size in large-Fresnel-number degenerate cavities, we have experimentally observed the laser transverse modes that display the wave patterns to be analogous to the derived eigenstates.
| Original language | English |
|---|---|
| Article number | 046217 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 85 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2012 Apr 24 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
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Lin, Y. C., Lu, T. H., Huang, K. F., & Chen, Y. F. (2012). Model of commensurate harmonic oscillators with SU(2) coupling interactions: Analogous observation in laser transverse modes. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 85(4), [046217]. https://doi.org/10.1103/PhysRevE.85.046217