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We investigate numerically the Andreev spectrum of a multichannel mesoscopicquantum wire (N) with high spin-orbit interaction coupled to superconductingelectrodes (S), contrasting topological and non topological behaviors.  In the non topological case, modeled by a square lattice with Rashbainteractions, we find that as soon as the normal quantum wires can host severalconduction channels, the spin degeneracy of Andreev levels is lifted by a phasedifference between the S reservoirs which breaks time reversal symmetry in zeroZeeman field. The Andreev states remain degenerate at phases multiple of $\pi$for which time reversal symmetry is preserved, giving rise to level crossingswhich are not lifted by disorder. In contrast with the dc Josephson current,the finite frequency admittance (susceptibility) is very sensitive to theselevel crossings and the lifting of their degeneracy by a small Zeeman field.More interesting is the case of the hexagonal lattice with next nearestneighbor spin-orbit interactions which exhibit 1D topological helical edgestates \cite{Kane2005}. The finite frequency admittance carries then a veryspecific signature at low temperature of a protected Andreev level crossing at$\pi$ and zero energy in the form of a sharp peak split by a Zeeman field.

Andreev spectrum with high spin-orbit interactions: revealing spin splitting and topologically protected crossings