  We show the existence of a new gapless collective excitation in a rotating
fluid system with chiral fermions, named as the Chiral Vortical Wave (CVW). The
CVW has its microscopic origin at the quantum anomaly and macroscopically
arises from interplay between vector and axial charge fluctuations induced by
vortical effects. The wave equation is obtained both from hydrodynamic current
equations and from chiral kinetic theory and its solutions show nontrivial
CVW-induced charge transport from different initial conditions. Using the
rotating quark-gluon plasma in heavy ion collisions as a concrete example, we
show the formation of induced flavor quadrupole in QGP and estimate the
elliptic flow splitting effect for Lambda baryons that may be experimentally
measured.
