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Phys. Rev. Lett. 99, 123602 (2007) [4 pages]

Mesoscopic Superposition States in Relativistic Landau Levels

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A. Bermudez1, M. A. Martin-Delgado1, and E. Solano2,3
1Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain
2Physics Department, ASC, and CeNS, Ludwig-Maximilians-Universität, Theresienstrasse 37, 80333 Munich, Germany
3Sección Física, Departamento de Ciencias, Pontificia Universidad Católica del Perú, Apartado Postal 1761, Lima, Peru

Received 27 June 2007; published 18 September 2007

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.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.99.123602
DOI:
10.1103/PhysRevLett.99.123602
PACS:
42.50.Pq, 03.65.Pm, 03.67.−a, 42.50.Dv