Precision measurements of electric-field-induced frequency displacements of an ultranarrow optical transition in ions in a solid
S. Zhang, N. Lu\v{c}i\'c, N. Galland, R. Le Targat, P. Goldner, B., Fang, S. Seidelin, and Y. Le Coq

TL;DR
This paper presents precise measurements of how electric fields shift the ultranarrow optical transition frequencies of Eu^{3+} ions in Y_2SiO_5, providing valuable data for quantum information and laser stabilization applications.
Contribution
The study offers the most accurate linear Stark coefficients for Eu^{3+} ions in Y_2SiO_5, including site-specific values and an upper limit for quadratic Stark shifts.
Findings
Electric field sensitivity varies by a factor of seven between two ion sites.
Linear Stark coefficients are measured with unprecedented accuracy.
Upper limit for quadratic Stark shift is established.
Abstract
We report a series of measurements of the effect of an electric field on the frequency of the ultranarrow linewidth optical transition of ions in an matrix at cryogenic temperatures. We provide linear Stark coefficients along two dielectric axes and for the two different substitution sites of the ions, with an unprecedented accuracy, and an upper limit for the quadratic Stark shift. The measurements, which indicate that the electric field sensitivity is a factor of seven larger for site 1 relative to site 2 for a particular direction of the electric field are of direct interest both in the context of quantum information processing and laser frequency stabilization with rare-earth doped crystals, in which electric fields can be used to engineer experimental protocols by tuning transition frequencies.
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