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How strange is the Laughlin quantum liquid, really?

J. M. Zhang, Y. Liu

June 3, 2026

Dyson orbitals — the quantum analogue of asking 'what orbital does a particle leave behind when removed?' — turn out to be analytically solvable for the Laughlin wave function, a famous description of the fractional quantum Hall effect. The results give quantitative, not just qualitative, proof that Laughlin's state is deeply unlike a normal electron gas. It's a clean diagnostic tool for a 40-year-old problem that previously lacked such direct numerical evidence.
Published as Complexity of the Laughlin wave function from the Dyson-orbital perspective arXiv:2606.05502
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