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arXiv · 1004.5400

Klein tunneling and Dirac potentials in trapped ions

J. Casanova·J. J. Garcia-Ripoll·R. Gerritsma·C. F. Roos·E. Solano
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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.

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J. Casanova, J. J. Garcia-Ripoll, R. Gerritsma, C. F. Roos, E. Solano. 2010-09-08. Klein tunneling and Dirac potentials in trapped ions. https://doi.org/10.1103/physreva.82.020101

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