Author

E. Khalaf

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Preprint Oct 2026

A hierarchy of exact lower bounds on the Laughlin spectral gap

We develop a bootstrap approach to deriving lower bounds on the spectral gap of the first Haldane pseudopotential Hamiltonian on the sphere with $N_\Phi$ flux quanta for arbitrary $N_\Phi$, including in the thermodynamic limit $N_\Phi \to \infty$. Our approach can in principle be generalized to pseudopotentials describ...

Michael G. Scheer, E. Khalaf · 0 citations

Preprint Aug 2026

Exact Stiffness and Dynamical Responses from Fock-Space Fragmentation

Exactly solvable quantum many-body models are rare, and even when their spectra are algebraically organized, dynamical responses generally remain difficult to obtain because they probe an extensive number of excited states. Here we show that quantum geometric nesting (QGN) models admit an unusually strong form of solva...

J. Herzog-Arbeitman, E. Khalaf, Zhaoyu Han · 0 citations