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 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Cite this
Model of commensurate harmonic oscillators with SU(2) coupling interactions : Analogous observation in laser transverse modes. / Lin, Y. C.; Lu, Ting-Hua; Huang, K. F.; Chen, Y. F.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 85, No. 4, 046217, 24.04.2012.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Model of commensurate harmonic oscillators with SU(2) coupling interactions
T2 - Analogous observation in laser transverse modes
AU - Lin, Y. C.
AU - Lu, Ting-Hua
AU - Huang, K. F.
AU - Chen, Y. F.
PY - 2012/4/24
Y1 - 2012/4/24
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84860678849&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84860678849&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.85.046217
DO - 10.1103/PhysRevE.85.046217
M3 - Article
VL - 85
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 4
M1 - 046217
ER -