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arXiv · 0912.3417

The non-Abelian bosonic quantum ring

Michael Merkl·Gediminas Juzeliūnas·Patrik Öhberg
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Abstract

We investigate the dynamics of a spinor Bose-Einstein condensate which is governed by an optically induced non-Abelian gauge potential. Using a ring shaped trap to confine the atoms and a hydrodynamic ansatz, nonlinear Josephson type equations are found to describe the system. The degenerate eigenstates which show rotation are solved exactly. We consider a homogenous filled ring and observe population dynamics between the two quasi-spin components but also space dependent Josephson oscillations. Stable mass currents can be observed which are induced by the constant non-Abelian effective magnetic field in the limit of weak interactions. For strong interactions the appearance of two-component dark soliton-like objects are observed.

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Michael Merkl, Gediminas Juzeliūnas, Patrik Öhberg. 2009-12-17. The non-Abelian bosonic quantum ring. https://doi.org/10.1140/epjd%2Fe2010-00134-4

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