Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities

Abstract

The authors present a widely applicable, solvable model (an isotropic two-dimensional harmonic oscillator subject to two simple perturbations) and show that it underlies a broad range of physical phenomena displaying a topological transition, including aberrated optical cavities that support Ince-Gauss beams as their modes and the Bose-Hubbard dimer describing two coupled superfluids.