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Title: 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:
;  [1]
  1. 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}
}