O. V. Marchukov, A. G. Volosniev, D. V. Fedorov, A. S. Jensen, N. T. Zinner
We consider a spin-orbit coupled system of particles in an external trap that is represented by a deformed harmonic oscillator potential. The spin-orbit interaction is a Rashba interaction that does not commute with the trapping potential and requires a full numerical treatment in order to obtain the spectrum. The effect of a Zeeman term is also considered. Our results demonstrate that variable spectral gaps occur as a function of strength of the Rashba interaction and deformation of the harmonic trapping potential. This implies that the many-body physics of spin-orbit coupled systems can be manipulated by variation of the external trapping potentials.
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http://arxiv.org/abs/1212.4051
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