title: Quantum simulation of the Klein paradox with trapped ions.
abstract: We report on quantum simulations of relativistic scattering dynamics using trapped ions. The simulated state of a scattering particle is encoded in both the electronic and vibrational state of an ion, representing the discrete and continuous components of relativistic wave functions. Multiple laser fields and an auxiliary ion simulate the dynamics generated by the Dirac equation in the presence of a scattering potential. Measurement and reconstruction of the particle wave packet enables a frame-by-frame visualization of the scattering processes. By precisely engineering a range of external potentials we are able to simulate text book relativistic scattering experiments and study Klein tunneling in an analogue quantum simulator. We describe extensions to solve problems that are beyond current classical computing capabilities.
authors.affiliation: Institut für Experimentalphysik, Universität Innsbruck, Technikerstrasse 25, A-6020 Innsbruck, Austria.
authors.forename: R
authors.initials: R
authors.lastname: Gerritsma
authors.forename: B P
authors.initials: BP
authors.lastname: Lanyon
authors.forename: G
authors.initials: G
authors.lastname: Kirchmair
authors.forename: F
authors.initials: F
authors.lastname: Zähringer
authors.forename: C
authors.initials: C
authors.lastname: Hempel
authors.forename: J
authors.initials: J
authors.lastname: Casanova
authors.forename: J J
authors.initials: JJ
authors.lastname: García-Ripoll
authors.forename: E
authors.initials: E
authors.lastname: Solano
authors.forename: R
authors.initials: R
authors.lastname: Blatt
authors.forename: C F
authors.initials: CF
authors.lastname: Roos