Effects of Lorentz Symmetry Violation in the Spectra of Rare-Earth Ions in a Crystal Field

Abstract

We demonstrate that experiments measuring the transition energies of rare-earth ions doped in crystalline lattices are sensitive to violations of Local Lorentz Invariance and Einstein's Equivalence Principle. Using the crystal field of LaCl${}_3$ as an example, we calculate the frame-dependent energy shifts of the transition frequencies between low-lying states of Ce${}^{3+}$, Nd${}^{3+}$, and Er${}^{3+}$ dopants in the context of the Standard Model Extension, and show that they have high sensitivity to electron anomalies that break rotational invariance.

arXiv comment7 pages, including supplement. Added discussion of magnetic fields

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Cited by in corpus (2)

• Search for New Physics with Atoms and Molecules
• Measuring the stability of fundamental constants with a network of clocks