20 research outputs found
Relativistic quantum mechanics with trapped ions
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.Comment: 17 pages, 4 figure