Journal
NEW JOURNAL OF PHYSICS
Volume 13, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1367-2630/13/9/095003
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Funding
- European Commission
- Basque Government [BFI08.211, IT472-10]
- Spanish MICINN [FIS2009-10061, FIS2009-12773-C02-01]
- CAM research consortium QUITEMAD [S2009-ESP-1594]
- European project SOLID
- European project CCQED
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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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