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We analyze a possibility of macroscopic quantum effects in the form ofcoupled structural oscillations and shuttle motion of bright two-componentspin-orbit-coupled striped (one-dimensional, 1D) and semi-vortex(two-dimensional, 2D) matter-wave solitons, under the action of linear mixing(Rabi coupling) between the components. In 1D, the intrinsic oscillationsmanifest themselves as flippings between spatially even and odd components ofstriped solitons, while in 2D the system features periodic transitions betweenzero-vorticity and vortical components of semi-vortex solitons. Theconsideration is performed by means of a combination of analytical andnumerical methods.

Flipping-shuttle oscillations of bright one- and two-dimensional solitons in spin-orbit-coupled Bose-Einstein condensates with Rabi mixing