Wavepacket reconstruction via local dynamics in a parabolic lattice

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.

4 pages, 3 figures, RevTex 4

References in corpus (3)

• Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
• Theoretical analysis of quantum dynamics in 1D lattices: Wannier-Stark description
• Coherent control of atom dynamics in an optical lattice

Cited by in corpus (1)

• Bloch oscillations of cold atoms in optical lattices