  Ultraprecise mechanical sensors offer an exciting avenue for testing new
physics. While many of these sensors are tailored to detect inertial forces,
magnetically levitated (Maglev) systems are particularly interesting, in that
they are also sensitive to electromagnetic forces. In this work, we propose the
use of magnetically levitated superconductors to detect dark-photon and axion
dark matter through their couplings to electromagnetism. Several existing
laboratory experiments search for these dark-matter candidates at high
frequencies, but few are sensitive to frequencies below $\mathrm{1\,kHz}$
(corresponding to dark-matter masses
$m_\mathrm{DM}\lesssim10^{-12}\,\mathrm{eV}$). As a mechanical resonator,
magnetically levitated superconductors are sensitive to lower frequencies, and
so can probe parameter space currently unexplored by laboratory experiments.
Dark-photon and axion dark matter can source an oscillating magnetic field that
drives the motion of a magnetically levitated superconductor. This motion is
resonantly enhanced when the dark matter Compton frequency matches the
levitated superconductor's trapping frequency. We outline the necessary
modifications to make magnetically levitated superconductors sensitive to dark
matter, including specifications for both broadband and resonant schemes. We
show that in the $\mathrm{Hz}\lesssim f_\mathrm{DM}\lesssim\mathrm{kHz}$
frequency range our technique can achieve the leading sensitivity amongst
laboratory probes of both dark-photon and axion dark matter.
