Mesoscopic superposition states in relativistic Landau levels.
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.
Bermudez
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Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain.
Martin-Delgado
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Solano
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