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Resonant behavior involving spin-orbit entangled states occurs for spin transport along a narrow channel defined in a two-dimensional electron gas, including an apparent rapid relaxation of the spin polarization for special values of the channel width and applied magnetic field (so-called ballistic spin resonance). A fully quantum mechanical theory for transport through multiple subbands of the one-dimensional system provides the dependence of the spin transport on the applied magnetic field and channel width, including a resonant depolarization of spins when the Zeeman energy matches the subband energy splittings and a spin texture transverse to the magnetic field. The resonance phenomenon is robust to disorder.

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