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arXiv · 1306.2204

First experimental realization of the Dirac oscillator

J. A. Franco-Villafañe·E. Sadurní·S. Barkhofen·U. Kuhl·F. Mortessagne·T. H. Seligman
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Abstract

We present the first experimental microwave realization of the one-dimensional Dirac oscillator, a paradigm in exactly solvable relativistic systems. The experiment relies on a relation of the Dirac oscillator to a corresponding tight-binding system. This tight-binding system is implemented as a microwave system by a chain of coupled dielectric disks, where the coupling is evanescent and can be adjusted appropriately. The resonances of the finite microwave system yields the spectrum of the one-dimensional Dirac oscillator with and without mass term. The flexibility of the experimental set-up allows the implementation of other one-dimensional Dirac type equations.

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J. A. Franco-Villafañe, E. Sadurní, S. Barkhofen, U. Kuhl, F. Mortessagne, T. H. Seligman. 2013-06-10. First experimental realization of the Dirac oscillator. https://doi.org/10.1103/physrevlett.111.170405

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