Quantum diffusion on a cyclic one-dimensional lattice
Abstract
The quantum diffusion of a particle in an initially localized state on a cyclic lattice with N sites is studied. Diffusion and reconstruction time are calculated. Strong differences are found for even or odd number of sites and the limit N→∞ is studied. The predictions of the model could be tested with microtechnology and nanotechnology devices.
- Publication:
-
Physical Review E
- Pub Date:
- September 2003
- DOI:
- 10.1103/PhysRevE.68.031103
- arXiv:
- arXiv:quant-ph/0304065
- Bibcode:
- 2003PhRvE..68c1103D
- Keywords:
-
- 05.40.Fb;
- 03.65.Ca;
- 05.60.Gg;
- Random walks and Levy flights;
- Formalism;
- Quantum transport;
- Quantum Physics
- E-Print:
- 17 pages, 5 figures