Mesoscopic superposition states in relativistic Landau levels

Phys Rev Lett. 2007 Sep 21;99(12):123602. doi: 10.1103/PhysRevLett.99.123602. Epub 2007 Sep 18.

Abstract

We show that a linear superposition of mesoscopic states in relativistic Landau levels can be built when an external magnetic field couples to a relativistic spin 1/2 charged particle. Under suitable initial conditions, the associated Dirac equation produces unitarily superpositions of coherent states involving the particle orbital quanta in a well-defined mesoscopic regime. We demonstrate that these mesoscopic superpositions have a purely relativistic origin and disappear in the nonrelativistic limit.