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Light's orbital angular momentum (OAM) is a conserved quantity incylindrically symmetric media; however, it is easily destroyed by free-spaceturbulence or fiber bends, because anisotropic perturbations impart angularmomentum. We observe the conservation of OAM even in the presence of strongbend perturbations, with fibers featuring air cores that appropriately sculptthe modal density of states. In analogy to the classical reasoning for theenhanced stability of spinning tops with increasing angular velocity, thesestates' lifetimes with OAM magnitude. Consequently, contrary to conventionwisdom that ground states of systems are the most stable, OAM longevity inair-core fiber increases with mode order. Aided by conservation of thisfundamental quantity, we demonstrate fiber propagation of 12 distincthigher-order OAM modes, of which 8 remain low-loss and >98% pure fromnear-degenerate coupling after km-length propagation. The first realization oflong-lived higher-order OAM states, thus far posited to exist primarily invacuum, is a necessary condition for achieving the promise ofhigher-dimensional OAM-based classical and quantum communications overpractical distances.

Conservation of orbital angular momentum in air core optical fibers