Laughlin Correlations in 1D Quantum Gases with General Dispersion: a Bethe Ansatz approach

Synthetic quantum systems enable the exploration of models with unconventional dispersion relations. We study a 1D hard-core bosonic system with k^m dispersion (m > 2), solvable via the Bethe Ansatz. Its many-body wavefunction mirrors Laughlin states, and for m > 2 the system exhibits fractional exclusion statistics. Our results suggest experimental tests using atomic arrays with tunable interactions.