Relativistic quantum mechanics with trapped ions

Details Relativistic quantum mechanics with trapped ions Relativistic quantum mechanics with trapped ions

2011-06-30

arxiv.org/abs/1106.6222v1

New J.Phys.13:095003,2011

Physics

Quantum Physics

17 pages, 4 figures

Scientific paper

10.1088/1367-2630/13/9/095003

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. First, we study the bidimensional relativistic scattering of single Dirac particles by a linear potential. Furthermore, 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 as the confinement and asymptotic freedom of quarks.

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