We report the laser cooling of a single
40Ca+ ion in a Penning trap to the motional ground state in one dimension. Cooling is performed in the strong binding limit on the 729-nm electric quadrupole
S1/2↔D5/2 transition, broadened by a quench laser coupling the
D5/2 and
P3/2 levels. We find the final phonon number to be
nˉ=0.014±0.009. We measure the heating rate of the trap to be very low with
nˉ˙=2.5±0.3s−1 and a scaled spectral noise density of
ωSE(ω)∼1.6−8V2m−2Hz−1s−1, which is consistent with the large ion-electrode distance. We perform Rabi oscillations on the sideband-cooled ion and observe a coherence time of
0.7±0.1ms, noting that the practical performance is currently limited by the intensity noise of the probe laser.