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We demonstrate rotational cooling of the silicon monoxide cation via opticalpumping by a spectrally filtered broadband laser. Compared with diatomichydrides, SiO\+ is more challenging to cool because of its smaller rotationalinterval. However, the rotational level spacing and large dipole moment ofSiO\+ allows direct manipulation by microwaves, and the absence of hyperfinestructure in its dominant isotopologue greatly reduces demands for pure quantumstate preparation. These features make $^{28}$Si$^{16}$O\+ a good candidate forfuture applications such as quantum information processing. Cooling to theground rotational state is achieved on a 100 ms time scale and attains apopulation of 94(3)\%, with an equivalent temperature $T=0.53(6)$ K. We alsodescribe a novel spectral-filtering approach to cool into arbitrary rotationalstates and use it to demonstrate a narrow rotational population distribution($N\pm1$) around a selected state.

Cooling of a Zero-Nuclear-Spin Molecular Ion to a Selected Rotational State