Test of constancy of speed of light with rotating cryogenic optical resonators

Abstract

A test of Lorentz invariance for electromagnetic waves was performed by comparing the resonance frequencies of two optical resonators as a function of orientation in space. In terms of the Robertson-Mansouri-Sexl theory, we obtain $\ensuremath{\beta}\ensuremath{-}\ensuremath{\delta}\ensuremath{-}1∕2=(+0.5\ifmmode\pm\else\textpm\fi{}3\ifmmode\pm\else\textpm\fi{}0.7)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}10}$, a tenfold improvement compared to the previous best results. We also set a first upper limit for a parameter of the standard model extension test theory, $\ensuremath{\mid}{({\stackrel{\ifmmode \tilde{}\else \~{}\fi{}}{\ensuremath{\kappa}}}_{e\ensuremath{-}})}^{ZZ}\ensuremath{\mid}<2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}14}$.