An atomic ion is trapped at the tip of a single-mode optical fiber in a
cryogenic (8 K) surface-electrode ion trap. The fiber serves as an integrated
source of laser light, which drives the quadrupole qubit transition of
88Sr+. Through \emph{in situ} translation of the nodal point of the
trapping field, the Gaussian beam profile of the fiber output is imaged, and
the fiber-ion displacement, in units of the mode waist at the ion, is optimized
to within 0.13±0.10 of the mode center despite an initial offset of
3.30±0.10. Fiber-induced charging at 125μW is observed to be
∼10 V/m at an ion height of 670μm, with charging and discharging
time constants of 1.6±0.3 s and 4.7±0.6 s respectively. This work is of
importance to large-scale, ion-based quantum information processing, where
optics integration in surface-electrode designs may be a crucial enabling
technology.Comment: 4 pages, 4 figure