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arXiv · 1505.05140

Simulation of Zitterbewegung by modelling the Dirac equation in Metamaterials

Sven Ahrens·Jun Jiang·Yong Sun·Shi-Yao Zhu
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Abstract

We develop a dynamic description of an effective Dirac theory in metamaterials, in which the wavefunction is modeled by the corresponding electric and magnetic field in the metamaterial. This electro-magnetic field can be probed in the experimental setup, which means that the wavefunction of the effective theory is directly accessible by measurement. Our model is based on a plane wave expansion, which ravels the identification of Dirac spinors with single-frequency excitations of the electro-magnetic field in the metamaterial. The characteristic Zitterbewegung is shown to emerge in simulations of the effective theory and we verify this signature with an analytic solution.

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Sven Ahrens, Jun Jiang, Yong Sun, Shi-Yao Zhu. 2015-05-19. Simulation of Zitterbewegung by modelling the Dirac equation in Metamaterials. https://doi.org/10.1088/1367-2630/17/11/113021

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