Non-reciprocal Exciton-Polariton Ring Lattices
arXiv:2205.04798 · doi:10.1103/PhysRevB.104.195301
Abstract
Recent experiments have shown the transfer of orbital angular momentum (OAM) from a non-resonant laser onto an exciton-polariton condensate, despite earlier views that the phase information of such a laser should be lost during the process of polariton condensation. We study with a phenomenological theory the interplay of a usual angular momentum independent gain and an angular momentum preserving gain. We find that even when the latter is much smaller, it is enough to favour condensation into a given orbital angular momentum state. This further allows a breaking of symmetry in the system, which further manifests in non-reciprocal one-way propagation in a lattice of coupled rings. Even though we consider only Hermitian reciprocal coupling between rings, the local non-Hermiticity generates an effective non-reciprocal coupling and supports a non-Hermitian topological invariant (winding number) associated to a non-Hermitian skin effect.
This version is identical to the published version of the paper [H Xu, et al., Physical Review B, 104, 195301 (2021)], however, with inclusion of the reference [D S Borgnia, et al., Physical Review letters, 124, 056802 (2020)]. It was pointed out to us that this reference was highly relevant for justifying the relationship between the skin effect, topology, and winding numbers
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