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Polariton polarization can be described in terms of a pseudospin which can beoriented along the $x,\,y,$ or $z$ axis, similarly to electron and hole spin.Unlike electrons and holes where time-reversal symmetry requires that thespin-orbit interaction be odd in the momentum, the analogue of the spin-orbitinteraction for polaritons, the so-called TE-TM splitting, is even in themomentum. We calculate and compare spin transport of polariton, electron, andhole systems, in the diffusive regime of many scatterings. After dimensionalrescaling diffusive systems with spatially uniform particle densities haveidentical dynamics, regardless of the particle type. Differences between thethree particles appear in spatially non-uniform systems, with pumps at aspecific localized point. We consider both oscillating pumps and transient(delta-function) pumps. In such systems each particle type produces distinctivespin patterns. The particles can be distinguished by their differing spatialmultipole character, their response and resonances in a perpendicular magneticfield, and their relative magnitude which is largest for electrons and weakestfor holes. These patterns are manifested both in response to unpolarized pumpswhich produce in-plane and perpendicular spin signals, and to polarized pumpswhere the spin precesses from in-plane to out-of-plane and vice versa. Theseresults will be useful for designing systems with large spin polarizationsignals, for identifying the dominant spin-orbit interaction and measuringsubdominant terms in experimental devices, and for measuring the scatteringtime and the spin-orbit coupling's magnitude.

Spin Response to Localized Pumps: Exciton Polaritons Versus Electrons and Holes