Klein tunneling and Dirac potentials in trapped ions
Quantum Physics
2011-03-10 v2 Mesoscale and Nanoscale Physics
Quantum Gases
High Energy Physics - Theory
Abstract
We propose the quantum simulation of the Dirac equation with potentials, allowing the study of relativistic scaterring and the Klein tunneling. This quantum relativistic effect permits a positive-energy Dirac particle to propagate through a repulsive potential via the population transfer to negative-energy components. We show how to engineer scalar, pseudoscalar, and other potentials in the 1+1 Dirac equation by manipulating two trapped ions. The Dirac spinor is represented by the internal states of one ion, while its position and momentum are described by those of a collective motional mode. The second ion is used to build the desired potentials with high spatial resolution.
Cite
@article{arxiv.1004.5400,
title = {Klein tunneling and Dirac potentials in trapped ions},
author = {J. Casanova and J. J. Garcia-Ripoll and R. Gerritsma and C. F. Roos and E. Solano},
journal= {arXiv preprint arXiv:1004.5400},
year = {2011}
}
Comments
4 pages, 3 figures, minor changes