Exact fermionic dual of the Bose-Hubbard model
This research establishes an exact fermionic dual description for the 1D Bose-Hubbard model using fermionic gauging. It maps bosonic operators to composite fermionic operators, generalizing known mappings to include soft-core interactions. The study confirms spectral equivalence between the original and dual models via DMRG and connects low-energy physics to Luttinger liquid theory.