English

Relativistic quantum mechanics with trapped ions

Quantum Physics 2011-09-08 v1

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. 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.

Keywords

Cite

@article{arxiv.1106.6222,
  title  = {Relativistic quantum mechanics with trapped ions},
  author = {L. Lamata and J. Casanova and R. Gerritsma and C. F. Roos and J. J. Garcia-Ripoll and E. Solano},
  journal= {arXiv preprint arXiv:1106.6222},
  year   = {2011}
}

Comments

17 pages, 4 figures

R2 v1 2026-06-21T18:29:48.319Z