  Harnessing the properties of vortices in superconductors is crucial for
fundamental science and technological applications; thus, it has been an
ongoing goal to locally probe and control vortices. Here, we use a scanning
probe technique that enables studies of vortex dynamics in superconducting
systems by leveraging the resonant behavior of a raster-scanned,
magnetic-tipped cantilever. This experimental setup allows us to image and
control vortices, as well as extract key energy scales of the vortex
interactions. Applying this technique to lattices of superconductor island
arrays on a metal, we obtain a variety of striking spatial patterns that encode
information about the energy landscape for vortices in the system. We interpret
these patterns in terms of local vortex dynamics and extract the relative
strengths of the characteristic energy scales in the system, such as the
vortex-magnetic field and vortex-vortex interaction strengths, as well as the
vortex chemical potential. We also demonstrate that the relative strengths of
the interactions can be tuned and show how these interactions shift with an
applied bias. The high degree of tunability and local nature of such vortex
imaging and control not only enable new understanding of vortex interactions,
but also have potential applications in more complex systems such as those
relevant to quantum computing.
