EXPLORING LONGITUDINAL SPIN WAVE-PACKAGE SEPARATION IN A MAGNETIC MATERIAL

Abstract

The Stern-Gerlach experiment was the first experimental evidence of the fact that the electrons have discrete spin states in contrary to continuous spectrum earlier hypothesized. Motivating their work, we explored the spin wave package separation for longitudinal waves as they pass through a medium with non-zero magnetization. Our analysis is based on the assumption that the wave packets have a Gaussian waveform up to a leading order. We give a analytical solution that proves that the wave package separates into up spin and down spin wave packets in the magnetic material. We backed up our results by numerical simulations. Our results show that indeed the initial wave package separates into two Gaussian wave packages. One with a positive amplitude which corresponds to spin up and one with negative amplitude which corresponds to spin down. For the experimental detection of the separated wave packages it is important that the peak to peak separation between them increase with time. Indeed, we showed that the ratio of the distance between the peaks and full width at half maximum is a increasing function of time.However, the observed separation is much smaller than the currently available probe wavelength in the industry, hence it would might be possible in the future that this result could be used for practical applications.