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arXiv:1409.4206 · The European Physical Journal D

Repulsively interacting fermions in a two-dimensional deformed trap with spin-orbit coupling

Oleksandr V. Marchukov, Dmitri V. Fedorov, Aksel S. Jensen, Artem G. Volosniev, Nikolaj Thomas Zinner

Published Mar 1, 2015• 5 citations
arXivHTMLPDF
DOI
10.1140/epjd/e2015-50682-x

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We consider a two-dimensional system of harmonically trapped particles with pseudo-spin-12\frac{1}{2}21​ degree of freedom. This degree of freedom is coupled to the particle's momentum via the so-called Rashba spin-orbit interaction. We present our numerical results for a single-particle and few-particle systems, assuming the repulsive interparticle interaction to be of zero range.
A Theory is presented to construct several types of self-trapping nonlinear modes in the two-dimensional model of binary Bose-Einstein condensate (BEC) with the repulsive dipole-dipole interaction (DDI) and the spatially confined spin-orbit coupling (SOC). The spatially confined SOC can be induced by illuminating spinor BEC with a Gaussian beam. It is found that the two-dimensional SOC of Rashba type within a confined area can help trap the composite matter-wave solitons. Under the combined effects of the repulsive DDI and the SOC, stable solitons of semi-vortex type and mixed-mode type can be found in ground state as well as in excited state. These solitons can still be stable when the topological number is up to 11. The properties and stability of the nonlinear modes is also studied in a moving frame of reference.