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We study spin-polarized quasiparticle transport in a mesoscopicsuperconductor with a spin- splitting field in the presence of co-flowingsupercurrent. In such a system, the nonequilibrium state is characterized bycharge, spin, energy and spin energy modes. Here we show that in the presenceof both spin splitting and supercurrent, all these modes are mutually coupled.As a result, the supercurrent can convert charge imbalance, that in thepresence of spin splitting decays on a relatively short scale, to a long-rangespin accumulation decaying only via inelastic scattering. This effect enablescoherent charge-spin conversion controllable by a magnetic flux, and it can bedetected by studying different symmetry components of the nonlocal conductancesignal.

Supercurrent Induced Charge-Spin Conversion in Spin-Split Superconductors