Exactly solvable model behind Bose-Hubbard dimers, Ince-Gauss beams, and aberrated optical cavities
Rodrigo Gutiérrez–Cuevas, D. H. J. O’Dell, Mark R. Dennis, Miguel A. Alonso
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.
Topics & Concepts
Bose–Hubbard modelPhysicsSuperfluidityIsotropyGaussHarmonic oscillatorClassical mechanicsSimple (philosophy)Quantum mechanicsHubbard modelSuperconductivityPhilosophyEpistemologyCold Atom Physics and Bose-Einstein CondensatesQuantum, superfluid, helium dynamicsStrong Light-Matter Interactions