  It is demonstrated that the complex Langevin method can simulate chiral
random matrix theory at non-zero chemical potential. The successful match with
the analytic prediction for the chiral condensate is established through a
shift of matrix integration variables and choosing a polar representation for
the new matrix elements before complexification. Furthermore, we test the
proposal to work with a Langevin-time dependent quark mass and find that it
allows us to control the fluctuations of the phase of the fermion determinant
throughout the Langevin trajectory.
