Dirac Cat States in Relativistic Landau Levels

Details Dirac Cat States in Relativistic Landau Levels Dirac Cat States in Relativistic Landau Levels

2007-06-22

arxiv.org/abs/0706.3329v1

Phys. Rev. Lett. 99, 123602 (2007).

Physics

Quantum Physics

Revtex4, color figures, submitted for publication

Scientific paper

We show that a relativistic version of Schrodinger cat states, here called Dirac cat states, can be built in relativistic Landau levels when an external magnetic field couples to a relativistic spin 1/2 charged particle. Under suitable initial conditions, the associated Dirac equation produces unitarily Dirac cat states involving the orbital quanta of the particle in a well defined mesoscopic regime. We demonstrate that the proposed Dirac cat states have a purely relativistic origin and cease to exist in the non-relativistic limit. In this manner, we expect to open relativistic quantum mechanics to the rich structures of quantum optics and quantum information.

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