Title: Optical nanoscopy via quantum control,
Abstract: We present a scheme for nanoscopic imaging of a quantum mechanical two-level
system using an optical probe in the far-field. Existing super-resolution
schemes require more than two-levels and depend on an incoherent response to
the lasers. Here, quantum control of the two states proceeds via rapid
adiabatic passage. We implement this scheme on an array of semiconductor
self-assembled quantum dots. Each quantum dot results in a bright spot in the
image with extents down to 30 nm ({\lambda}/31). Rapid adiabatic passage is
established as a versatile tool in the super-resolution toolbox.