%0 Figure %A V Marchukov, O %A G Volosniev, A %A V Fedorov, D %A S Jensen, A %A T Zinner, N %D 2013 %T Energy as a function of dimensionless spin–orbit coupling parameter β for the case where the oscillator potential is deformed %U https://iop.figshare.com/articles/figure/_Energy_as_a_function_of_dimensionless_spin_orbit_coupling_parameter_for_the_case_where_the_oscillat/1012061 %R 10.6084/m9.figshare.1012061.v1 %2 https://iop.figshare.com/ndownloader/files/1479883 %K function %K strength %K parameter %K deformation %K variation %K Rashba interaction %K panel %K oscillator %K Atomic Physics %K Molecular Physics %X

Figure 2. Energy as a function of dimensionless spin–orbit coupling parameter β for the case where the oscillator potential is deformed. The left panel has \gamma =\frac{\omega _x}{\omega _y} = 2 and the right panel has γ = 3.

Abstract

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. The single-particle density of states and the critical strength for superfluidity vary tremendously with the interaction parameter. The strong variations with Rashba coupling and deformation imply that the few- and many-body physics of spin–orbit coupled systems can be manipulated by variation of these parameters.

%I IOP Publishing