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Relativistic quantum mechanics with trapped ions

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Published 6 September 2011 Published under licence by IOP Publishing Ltd
, , Citation L Lamata et al 2011 New J. Phys. 13 095003 DOI 10.1088/1367-2630/13/9/095003

1367-2630/13/9/095003

Abstract

We consider the quantum simulation of relativistic quantum mechanics, as described by the Dirac equation and classical potentials, in trapped-ion systems. We concentrate on three problems of growing complexity. Firstly, we study the bidimensional relativistic scattering of single Dirac particles by a linear potential. Secondly, we explore the case of a Dirac particle in a magnetic field and its topological properties. Finally, we analyze the problem of two Dirac particles that are coupled by a controllable and confining potential. The latter interaction may be useful to study important phenomena such as the confinement and asymptotic freedom of quarks.

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