Fine structure of the stripe phase in ring-shaped Bose-Einstein condensates with spin-orbital-angular-momentum coupling

We report on a theoretical study of a ring-shaped Bose-Einstein condensate with Raman-induced spin-orbital-angular-momentum coupling. We analyze the structure of the ground state of the system depending on different physical parameters and reveal a peculiar fine structure within the stripe phase on the phase diagram. We demonstrate the existence of the predicted stripe subphases within a wide range of physical parameters, and their traceability through physical observables, and compare the results with several commonly used variational approximations. We also show that predicted subphases of the stripe phase can be observed within experimentally realizable conditions.