Samuel J. Elman

A graph-theoretic analysis of non-generic free-fermion solvability by Krylov decompositions

Exactly solvable models are often identified from structural features of their interactions. For quantum spin Hamiltonians, these are captured by the frustration graph of anticommuting Pauli terms. The frustration graph characterizes broad families of spin models that map to free fermions for arbitrary, or generic, val...