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Trapped Ion Quantum Computing

Dirac Cat States in Relativistic Landau Levels

arXiv
Authors: A. Bermudez, M. A. Martin-Delgado, E. Solano

Year

2007

Paper ID

49882

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

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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  • 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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0706.3329 [2] arXiv https://arxiv.org/abs/0706.3329 [3] Publisher https://arxiv.org/abs/0706.3329

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