Periodic-Orbit Theory of Anderson Localization on Graphs
| dc.creator | Schanz, Holger | |
| dc.creator | Smilansky, Uzy | |
| dc.date | 1999-09-15 | |
| dc.date | 1999-12-15 | |
| dc.date.accessioned | 2026-07-07T02:36:00Z | |
| dc.date.available | 2026-07-07T02:36:00Z | |
| dc.description | We present the first quantum system where Anderson localization is completely described within periodic-orbit theory. The model is a quantum graph analogous to an a-periodic Kronig-Penney model in one dimension. The exact expression for the probability to return of an initially localized state is computed in terms of classical trajectories. It saturates to a finite value due to localization, while the diagonal approximation decays diffusively. Our theory is based on the identification of families of isometric orbits. The coherent periodic-orbit sums within these families, and the summation over all families are performed analytically using advanced combinatorial methods. | |
| dc.description | 4 pages, 3 figures, RevTeX | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9909023 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9909023 | |
| dc.identifier | Phys. Rev. Lett. 84 (2000) 1427-1430 | |
| dc.identifier | doi:10.1103/PhysRevLett.84.1427 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/15763 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Periodic-Orbit Theory of Anderson Localization on Graphs | |
| dc.type | text |