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Mesoscopic superposition states in relativistic landau levels

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PHYSICAL REVIEW LETTERS
卷 99, 期 12, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.99.123602

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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.

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