Anisotropic magnetotransport properties of the heavy-fermion superconductor <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>CeRh</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>As</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:math>

We report anisotropic resistivity measurements of the heavy-fermion superconductor CeRh$_2$As$_2$ in magnetic fields up to 16 T and temperatures down 0.35 K. The measured shows a signature corresponding suggested quadrupole density wave order state at $T_0 \sim$ 0.5 K for both directions. For field applied along tetragonal $a$ axis, $T_0$ is enhanced with reaching $\sim$1.75 T. Further, field-induced transition occurs $B_m \sim $ 8.1 change new broken symmetry state. $c$ suppressed below our base temperature $\sim$0.35 by $B 4.5 T, close previously reported within superconducting be from an even-parity odd-parity Our results indicate that multiple phases are intimately tied suppression proposed quadrupole-density-wave phase $T_0$.