Klein tunneling and Dirac potentials in trapped ions
arXiv:1004.5400 · doi:10.1103/PhysRevA.82.020101
Abstract
We propose the quantum simulation of the Dirac equation with potentials, allowing the study of relativistic scaterring and the Klein tunneling. This quantum relativistic effect permits a positive-energy Dirac particle to propagate through a repulsive potential via the population transfer to negative-energy components. We show how to engineer scalar, pseudoscalar, and other potentials in the 1+1 Dirac equation by manipulating two trapped ions. The Dirac spinor is represented by the internal states of one ion, while its position and momentum are described by those of a collective motional mode. The second ion is used to build the desired potentials with high spatial resolution.
4 pages, 3 figures, minor changes
References in corpus (5)
- Chiral tunneling and the Klein paradox in graphene
- Simulated Quantum Computation of Molecular Energies
- Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
- Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
- Geometric phase gate on an optical transition for ion trap quantum computation