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It is demonstrated that a two-component Bose-Einstein condensate (BEC) withall-repulsive inter-atomic interactions loaded into a radially symmetricharmonic trap supports robust non-coaxial vortices with approximatelyorthogonal vortex lines in each of the components. These cross vortices areexcited from the linear modes by a sudden switch-on of the nonlinearity (viaFeshbach resonance) and are characterized by persistent dynamical regimes ofprecession with nutation, resembling the motion of a rigid body. The obtaineddynamics can be understood qualitatively on the basis of a simple mechanicalmodel.

Non-coaxial vortices in two-component Bose-Einstein condensates: Persistent precession and nutation