TY - JOUR A1 - Estrecho, E. A1 - Gao, T. A1 - Brodbeck, S. A1 - Kamp, M. A1 - Schneider, C. A1 - Höfling, S. A1 - Truscott, A. G. A1 - Ostrovskaya, E. A. T1 - Visualising Berry phase and diabolical points in a quantum exciton-polariton billiard JF - Scientific Reports N2 - Diabolical points (spectral degeneracies) can naturally occur in spectra of two-dimensional quantum systems and classical wave resonators due to simple symmetries. Geometric Berry phase is associated with these spectral degeneracies. Here, we demonstrate a diabolical point and the corresponding Berry phase in the spectrum of hybrid light-matter quasiparticles—exciton-polaritons in semiconductor microcavities. It is well known that sufficiently strong optical pumping can drive exciton-polaritons to quantum degeneracy, whereby they form a macroscopically populated quantum coherent state similar to a Bose-Einstein condensate. By pumping a microcavity with a spatially structured light beam, we create a two-dimensional quantum billiard for the exciton-polariton condensate and demonstrate a diabolical point in the spectrum of the billiard eigenstates. The fully reconfigurable geometry of the potential walls controlled by the optical pump enables a striking experimental visualization of the Berry phase associated with the diabolical point. The Berry phase is observed and measured by direct imaging of the macroscopic exciton-polariton probability densities. KW - Berry phase KW - diabolical points KW - quantum billiard KW - exciton-polariton Y1 - 2016 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-167496 VL - 6 IS - 37653 ER -