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The three condensate wavefunctions of a spinor BEC on a spherical shell canmap the real space to the order-parameter space that also has a sphericalgeometry, giving rise to topological excitations called lump solitons. Thehomotopy of the mapping endows the lump solitons with quantized winding numberscounting the wrapping between the two spaces. We present several lump-solitonsolutions to the nonlinear coupled equations minimizing the energy functional.The energies of the lump solitons with different winding numbers indicatecoexistence of lumps with different winding numbers and a lack of advantage tobreak a higher-winding lump soliton into multiple lower-winding ones. Possibleimplications are discussed since the predictions are testable in cold-atomexperiments.

Winding real and order-parameter spaces via lump solitons of spinor BEC on sphere