Fractional Quantum Hall Physics in Rapidly Rotating Fermi Gases and Excitonic Systems

The Fractional Quantum Hall Effect is a striking manifestation of strong correlations in two-dimensional electron systems under high magnetic fields. It emerges from the interplay of the Lorentz force, quantum mechanics, and interactions, giving rise to rich and exotic phenomena. Remarkably, analogous physics can be realized with neutral atoms in a rapidly rotating trap, where the Coriolis force plays the role of the Lorentz force. Motivated by recent experiments, we investigate the momentum distribution of two interacting fermions in such a quantum Hall regime and find excellent agreement between theory and experiment. Building on this foundation, we extend our framework to study fractional quantum Hall states of two excitons in bilayer graphene, where electron–hole correlations open new avenues for exploring strongly correlated phases. Our results provide theoretical insights into emergent quantum Hall physics in both ultracold atomic and excitonic platforms and highlight their potential relevance for future quantum technologies.