Optical coherence of ${}^{166}$Er:${}^7$LiYF${}_4$ crystal below 1 Kelvin

Abstract

We explore spin dynamics of isotopically purified ${}^{166}$Er:${}^7$LiYF${}_4$ crystal below 1 Kelvin and at weak magnetic fields $<$0.3 T. Crystals grown in our lab demonstrate record-narrow inhomogeneous optical broadening down to 16~MHz. Solid state atomic ensembles with such narrow linewidths are very attractive for the implementation of off-resonant Raman quantum memory and for the interfacing of superconducting quantum circuits and telecom C-band optical photons. Both applications require low magnetic field of $\sim 10$ mT. However, at conventional experimental temperatures $T>1.5$ K and time scales of $\mu$s, spin coherence of Er:LYF crystal appears only at magnetic fields above 1 Tesla. In the present work, we demonstrate spin coherence of Er:LYF crystals at the field range compatible with ZEFOZ transitions of ${}^{167}$Er isotope and with working conditions of superconducting quantum circuits.

6 pages, 6 figures

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