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First experimental realization of the Dirac oscillator

2013/06/30 by J. A. Franco-Villafañe, E. Sadurní, S. Barkhofen +3 · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #quant-ph #msc:81V99 #acm:81V99

paper · pdf · doi:10.1103/physrevlett.111.170405

published as Phys. Rev. Lett. 111, 170405 (2013) · 6 figures, 5 pages

arxiv created 2013/12/17 · arxiv updated 2013/12/18

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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