Wavepacket reconstruction via local dynamics in a parabolic lattice
Quantum Physics
2007-05-23 v1 Atomic Physics
Abstract
We study the dynamics of a wavepacket in a potential formed by the sum of a periodic lattice and of a parabolic potential. The dynamics of the wavepacket is essentially a superposition of ``local Bloch oscillations'', whose frequency is proportional to the local slope of the parabolic potential. We show that the amplitude and the phase of the Fourier transform of a signal characterizing this dynamics contains information about the amplitude and the phase of the wavepacket at a given lattice site. Hence, {\em complete} reconstruction of the the wavepacket in the real space can be performed from the study of the dynamics of the system.
Keywords
Cite
@article{arxiv.quant-ph/0203024,
title = {Wavepacket reconstruction via local dynamics in a parabolic lattice},
author = {Quentin Thommen and Veronique Zehnle and Jean Claude Garreau},
journal= {arXiv preprint arXiv:quant-ph/0203024},
year = {2007}
}
Comments
4 pages, 3 figures, RevTex 4