Generalized acceleration theorem for spatiotemporal Bloch waves

Details Generalized acceleration theorem for spatiotemporal Bloch waves Generalized acceleration theorem for spatiotemporal Bloch waves

2011-08-09

arxiv.org/abs/1108.1883v1

Phys. Rev. B 84, 054301 (2011)

Physics

Condensed Matter

Quantum Gases

12 pages, 4 figures

Scientific paper

10.1103/PhysRevB.84.054301

A representation is put forward for wave functions of quantum particles in periodic lattice potentials subjected to homogeneous time-periodic forcing, based on an expansion with respect to Bloch-like states which embody both the spatial and the temporal periodicity. It is shown that there exists a generalization of Bloch's famous acceleration theorem which grows out of this representation and captures the effect of a weak probe force applied in addition to a strong dressing force. Taken together, these elements point at a "dressing and probing" strategy for coherent wave-packet manipulation, which could be implemented in present experiments with optical lattices.

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