Wavepacket dynamics of the nonlinear Harper model
| dc.creator | Ng, Gim Seng | |
| dc.creator | Kottos, Tsampikos | |
| dc.date | 2007-02-21 | |
| dc.date | 2007-05-23 | |
| dc.date.accessioned | 2026-07-07T08:05:47Z | |
| dc.date.available | 2026-07-07T08:05:47Z | |
| dc.description | The destruction of anomalous diffusion of the Harper model at criticality, due to weak nonlinearity $χ$, is analyzed. It is shown that the second moment grows subdiffusively as $<m_2> \sim t^α$ up to time $t^*\sim χ^γ$. The exponents $α$ and $γ$ reflect the multifractal properties of the spectra and the eigenfunctions of the linear model. For $t>t^*$, the anomalous diffusion law is recovered, although the evolving profile has a different shape than in the linear case. These results are applicable in wave propagation through nonlinear waveguide arrays and transport of Bose-Einstein condensates in optical lattices. | |
| dc.description | 6 pages, 5 figures. Revised and published in Phys. Rev. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0702506 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0702506 | |
| dc.identifier | Phys. Rev. B 75, 205120 (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.75.205120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130389 | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Wavepacket dynamics of the nonlinear Harper model | |
| dc.type | text |