  Axions are one of the well-motivated candidates for dark matter, originally
proposed to solve the strong CP problem in particle physics. Dark matter Axion
search with riNg Cavity Experiment (DANCE) is a new experimental project to
broadly search for axion dark matter in the mass range of $10^{-17}~\mathrm{eV}
< m_a < 10^{-11}~\mathrm{eV}$. We aim to detect the rotational oscillation of
linearly polarized light caused by the axion-photon coupling with a bow-tie
cavity. The first results of the prototype experiment, DANCE Act-1, are
reported from a 24-hour observation. We found no evidence for axions and set
95% confidence level upper limit on the axion-photon coupling $g_{a \gamma}
\lesssim 8 \times 10^{-4}~\mathrm{GeV^{-1}}$ in $10^{-14}~\mathrm{eV} < m_a <
10^{-13}~\mathrm{eV}$. Although the bound did not exceed the current best
limits, this optical cavity experiment is the first demonstration of
polarization-based axion dark matter search without any external magnetic
field.
