  Study of the combined effects of strong electronic correlations with
spin-orbit coupling (SOC) represents a central issue in quantum materials
research. Predicting emergent properties represents a huge theoretical problem
since the presence of SOC implies that the spin is not a good quantum number.
Existing theories propose the emergence of a multitude of exotic quantum
phases, distinguishable by either local point symmetry breaking or local spin
expectation values, even in materials with simple cubic crystal structure such
as Ba$_2$NaOsO$_6$. Experimental tests of such theories by local probes are
highly sought for. Here, we report on local measurements designed to
concurrently probe spin and orbital/lattice degrees of freedom of
Ba$_2$NaOsO$_6$. We find that a novel canted ferromagnetic phase which is
preceded by local point symmetry breaking is stabilized at low temperatures, as
predicted by quantum theories involving multipolar spin interactions.
