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quant-ph2024
Undecidability of the spectral gap in rotationally symmetric Hamiltonians
Laura Castilla-Castellano, Angelo Lucia
The problem of determining the existence of a spectral gap in a lattice quantum spin system was previously shown to be undecidable for one [J. Bausch et al., "Undecidability of the…
math-ph2024★ 5 cited
On the critical finite-size gap scaling for frustration-free Hamiltonians
Marius Lemm, Angelo Lucia
We prove that the critical finite-size gap scaling for frustration-free Hamiltonians is of inverse-square type. The result covers general graphs embedded in and gener…