Abstract
We have solved the in-plane momentum-dependent effective-mass nonlinear Schr\"odinger equation for a spin-polarized electron wave packet in a bilayer electron system. Considering a time-dependent Hartree potential, we have calculated the spin-polarized nonlinear electron dynamics between both quantum wells at different in-plane momentum values. The local spin polarization, which depends on the tunneling dynamics between both electron layers, oscillates together with the spin-polarized charge density. This demonstrates the possibility of having local spin density oscillations in a coupled quantum well system as a function of the electronic sheet density.
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