We show that the discrete set of pair amplitudes $A_m$ introduced by Haldane are an angular-momentum resolved generalization Tan two-body contact, which parametrizes universal short-range correlations in atomic quantum gases. The provide a complete description translation-invariant and rotation-invariant states lowest Landau level (LLL), both compressible incompressible. To leading nontrivial o...

The equivalence between neutral particles under rotation and charged in a magnetic field relates phenomena as diverse spinning atomic nuclei, weather patterns, the quantum Hall effect. In their descriptions, translations along different directions do not commute, implying Heisenberg uncertainty relation spatial coordinates. Here, we exploit ability to squeeze non-commuting variables dynamically...