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The $^{27}$Al$^+$ ion optical clock is one of the most attractive opticalclocks due to its own advantages, such as low blackbody radiation shift at roomtemperature and insensitive to the magnetic drift. However, it cannot belaser-cooled directly in the absence of 167 nm laser to date. This problem canbe solved by sympathetic cooling. In this work, a linear Paul trap is used totrap both $^{40}$Ca$^{+}$ and $^{27}$Al$^+$ ions simultaneously, and a singleDoppler-cooled $^{40}$Ca$^+$ ion is employed to sympathetically cool a single$^{27}$Al$^+$ ion. Thus a "bright-dark" two-ion crystal has been successfullysynthesized. The temperature of the crystal has been estimated to be about 7 mKby measuring the ratio of carrier and sideband spectral intensities. Finally,the dark ion is proved to be an $^{27}$Al$^+$ ion by precise measuring of theion crystal`s secular motion frequency, which means that it is a great step forour $^{27}$Al$^+$ quantum logic clock.

Sympathetic cooling of $^{40}\textbf{Ca}^+$ - $^{27}\textbf{Al}^+$ ion pair crystal in a linear Paul trap