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We investigate the relevant spectroscopic properties of the 795 nm$^3$H$_6$$\leftrightarrow$$^3$H$_4$ transition in 1%Tm$^{3+}$:Y$_3$Ga$_5$O$_{12}$ at temperatures as low as 1.2 K for opticalquantum memories based on persistent spectral tailoring of narrow absorptionfeatures. Our measurements reveal that this transition has uniform coherenceproperties over a 56 GHz bandwidth, and a simple hyperfine structure split by$\pm$44 MHz/T with lifetimes of up to hours. Furthermore, we find a $^3$F$_4$population lifetime of 64 ms -- one of the longest lifetimes observed for anelectronic level in a solid --, and an exceptionally long coherence lifetime of490 $\mu$s -- the longest ever observed for optical transitions of Tm$^{3+}$ions in a crystal. Our results suggest that this material allows realizingbroadband quantum memories that enable spectrally multiplexed quantumrepeaters.

Tm$^{3+}$:Y$_3$Ga$_5$O$_{12}$ materials for spectrally multiplexed quantum memories