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arXiv · 1903.05482

Analog quantum simulation of the spinor-four Dirac equation with an artificial gauge field

Jean Claude Garreau·Véronique Zehnlé
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Abstract

A two-dimensional spatially and temporally modulated Wannier-Stark system of ultracold atoms in optical lattices is shown to mimic the behavior of a Dirac particle. Suitable additional modulations generate an artificial gauge field which simulates a magnetic field and imposes the use of the full spinor-four Dirac equation.

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Jean Claude Garreau, Véronique Zehnlé. 2019-03-13. Analog quantum simulation of the spinor-four Dirac equation with an artificial gauge field. https://doi.org/10.1103/physreva.101.053608

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