#### Condensed Matter Theory

### Stephan Arlinghaus et.al.: Generalized acceleration theorem for spatiotemporal Bloch waves

**Author(s)**:**Stephan Arlinghaus, Martin Holthaus****Title**:**Date of Upload**: 2011-08-19
**Article**:**Phys. Rev. B 84, 054301 (2011), APS****Keywords**:**PACS**: 72.10.Bg, 67.85.Hj, 42.50.Hz, 03.75.Lm**Abstract**:- 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.
**arXiv: 1101.5272v3**

**Generalized acceleration theorem for spatiotemporal Bloch waves**

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