Abstract

We calculate the optical properties of the quantum vacuum when a static magnetic field ${\mathbf{B}}_{0}$ and an electric field ${\mathbf{E}}_{0}$ are applied perpendicular to the direction of light propagation. We find a polarization-independent directional anisotropy in the refractive index, proportional to ${\mathbf{B}}_{0}\ifmmode\times\else\texttimes\fi{}{\mathbf{E}}_{0}.$ Our calculation confirms a general prediction that such an anisotropy should exist in any centrosymmetric medium, of which the quantum vacuum is a special case.

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