  We present a novel technique to probe electroweak nuclear properties by
measuring parity violation (PV) in single molecular ions in a Penning trap. The
trap's strong magnetic field Zeeman shifts opposite-parity rotational and
hyperfine molecular states into near degeneracy. The weak interaction-induced
mixing between these degenerate states can be larger than in atoms by more than
twelve orders of magnitude, thereby vastly amplifying PV effects. The single
molecule sensitivity would be suitable for applications to nuclei across the
nuclear chart, including rare and unstable nuclei.

Atomic Physics;Nuclear Experiment;Quantum Physics