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Intrinsic spin angular-momentum coupling of an electron has a relativisticquantum origin with the coupling arising from charged-orbits, which does notcarry over to charge-neutral atoms. Here we propose a mechanism of spontaneousgeneration of spin angular-momentum coupling with spinor atomic bosons loadedinto $p$-orbital bands of a two-dimensional optical-lattice. This spinangular-momentum coupling originates from many-body correlations andspontaneous symmetry breaking in a superfluid, with the key ingredientsattributed to spin-channel quantum fluctuations and an approximate rotationsymmetry. The resultant spin angular-momentum intertwined superfluid has Diracexcitations. In presence of a chemical potential difference for adjacent sites,it provides a bosonic analogue of a symmetry-protected-topological insulator.Through a dynamical mean-field calculation, this novel superfluid is found tobe a generic low-temperature phase, and it gives way to Mott localization onlyat strong interactions and even-integer fillings. We show the temperature toreach this order is accessible with present experiments.

Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons