Title: Anomalous dispersion via dissipative coupling in a quantum well exciton-polariton microcavity

Abstract: According to the principles of quantum mechanics the Hamiltonian describing a closed system's energies must be Hermitian. This leads to an avoided crossing on resonance, as coupling between states causes the energy levels to repel. This concept lies at the heart of exciton-polariton physics, where coherent exciton-photon interaction causes polariton branches to repel in momentum dispersion. However, non-Hermitian physics predicts an opposite effect: level attraction, which occurs when significant energy dissipation is present in the system. Here, we show a manifestation of dissipative coupling in a high-quality AlGaAs-based polariton microcavity, where two polariton branches attract, resulting in an anomalous, inverted dispersion of the lower branch in momentum dispersion. We observe the evolution of the level attraction with exciton-photon detuning, leading to changes in anomalous dispersion shape within a single sample. The dissipative coupling is explained by the interaction with an indirect exciton, acting as a highly dissipative channel in our system, and the observed dispersions are well captured within a phenomenological model. Our results present a new mechanism of dissipative coupling in light-matter systems and offer a tunable and well-controlled AlGaAs-based platform for engineering the non-Hermitian and negative mass effects in polariton systems.