# Generalized acceleration theorem for spatiotemporal Bloch waves

## 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.

- Authors:

- Institut fuer Physik, Carl von Ossietzky Universitaet, D-26111 Oldenburg (Germany)

- Publication Date:

- OSTI Identifier:
- 21596835

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevB.84.054301; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1098-0121

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ACCELERATION; BLOCH THEORY; CAPTURE; EXPANSION; INTERFERENCE; LASER RADIATION; PERIODICITY; PROBES; STARK EFFECT; WAVE FUNCTIONS; WAVE PACKETS; ELECTROMAGNETIC RADIATION; FUNCTIONS; RADIATIONS; VARIATIONS

### Citation Formats

```
Arlinghaus, Stephan, and Holthaus, Martin.
```*Generalized acceleration theorem for spatiotemporal Bloch waves*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVB.84.054301.

```
Arlinghaus, Stephan, & Holthaus, Martin.
```*Generalized acceleration theorem for spatiotemporal Bloch waves*. United States. doi:10.1103/PHYSREVB.84.054301.

```
Arlinghaus, Stephan, and Holthaus, Martin. Mon .
"Generalized acceleration theorem for spatiotemporal Bloch waves". United States. doi:10.1103/PHYSREVB.84.054301.
```

```
@article{osti_21596835,
```

title = {Generalized acceleration theorem for spatiotemporal Bloch waves},

author = {Arlinghaus, Stephan and Holthaus, Martin},

abstractNote = {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.},

doi = {10.1103/PHYSREVB.84.054301},

journal = {Physical Review. B, Condensed Matter and Materials Physics},

issn = {1098-0121},

number = 5,

volume = 84,

place = {United States},

year = {2011},

month = {8}

}

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