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{energy, state, states} |
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Wavepacket reconstruction via local dynamics in a parabolic lattice
Quentin Thommen, Veronique Zehnle, Jean Claude Garreau
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0203024
- categories:
- quant-ph physics.atom-ph
- comments:
- 4 pages, 3 figures, RevTex 4
- doi:
- 10.1103/PhysRevA.67.013416
- arxiv_id:
- quant-ph/0203024
- journal_ref:
- Physical Review A 67, 013416 (2003)
- created:
- 2002-03-06
Full article ▸
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