  We experimentally and numerically demonstrate a method to deterministically
generate multiply-quantized superfluid circulation about an obstacle in highly
oblate Bose-Einstein condensates (BECs). Our method involves spiraling a
blue-detuned laser beam, which acts as a repulsive optical potential, around
and towards the center of the BEC. This optical potential serves first as a
repulsive stirrer to initiate superflow within the BEC, and then as a pinning
potential that transports the center of the superfluid circulation to the
center of the condensate. By changing the rate at which the beam moves along
the spiral trajectory, we selectively control the net circulation introduced
into the BEC. We experimentally achieve pinned superflow with winding numbers
as high as 11, which persists for at least 4 s. At the end of the spiral
trajectory, with the pinning beam on at full power, the BEC has a toroidal
geometry with a high winding-number persistent current. Alternatively, the beam
power can be ramped off, allowing controlled placement of a cluster of
singly-quantized vortices of the same circulation. This technique can serve as
a building block in future experimental architectures to create on-demand
vortex distributions and superfluid circulation in BECs.
