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Quantum simulation of the Klein paradox | | R. Gerritsma
; B. Lanyon
; G. Kirchmair
; F. Zähringer
; C. Hempel
; J. Casanova
; J. J. García-Ripoll
; E. Solano
; R. Blatt
; C. F. Roos
; | | Date: |
21 Jul 2010 | | Abstract: | In 1929 Oskar Klein obtained a surprising result when investigating the
scattering of a relativistic electron from an electrostatic potential step
using the Dirac equation. Klein found that the electron can propagate through
the step, without damping, and that the probability for this happening
increases with the step height---a result commonly known as the Klein paradox.
Since direct experimental investigations are lacking, and would be very
challenging, the Klein paradox remains a much debated and investigated topic in
relativistic quantum mechanics. Driven by the experimental inaccessibility of
relativistic quantum systems there has been recent interest in performing
quantum simulations. In this paper we report on the quantum simulation of
relativistic scattering dynamics and the observation of Klein tunneling, using
trapped ions. The combination of precise engineering of all terms in the
simulated Hamiltonian and the ability to prepare arbitrary initial states
enables the investigation of a wide range of fundamental scattering processes.
Direct visualisation of the scattering processes is made possible by
reconstruction of particle wave packets at arbitrary simulation times. | | Source: | arXiv, 1007.3683 | | Services: | Forum | Review | PDF | Favorites | |
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