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Transient super-ballistic spreading of wave packets with large spreading exponents in some hybrid ordered-quasiperiodic lattices
- Source :
- Journal of the Korean Physical Society; February 2016, Vol. 68 Issue: 3 p387-392, 6p
- Publication Year :
- 2016
-
Abstract
- We consider the spreading of an initially localized wave packet in one-dimensional hybrid ordered-quasiperiodic lattices. We consider two diffrent kinds of quasiperiodic sequences, which are the Cantor and the period-doubling sequences. From numerical calculations based on the discrete Schrödinger equation, we demonstrate that hybrid ordered-quasiperiodic lattices can support the super-ballistic spreading of a wave packet with very large spreading exponents for certain transient time windows. Remarkably, in the case of the sublattice with the on-site potential obeying the period-doubling quasiperiodic sequence, we find that the super-ballistic exponent can be larger than six. We also point out that previous explanations of this phenomenon based on a generalized version of the point source model are incorrect.
Details
- Language :
- English
- ISSN :
- 03744884 and 19768524
- Volume :
- 68
- Issue :
- 3
- Database :
- Supplemental Index
- Journal :
- Journal of the Korean Physical Society
- Publication Type :
- Periodical
- Accession number :
- ejs38122848
- Full Text :
- https://doi.org/10.3938/jkps.68.387