Split Orthogonal Group: A Guiding Principle for Sign-Problem-Free Fermionic Simulations
Split Orthogonal Group: A Guiding Principle for Sign-Problem-Free Fermionic Simulations
We present a guiding principle for designing fermionic Hamiltonians and quantum Monte Carlo (QMC) methods that are free from the infamous sign problem by exploiting the Lie groups and Lie algebras that appear naturally in the Monte Carlo weight of fermionic QMC simulations. Specifically, rigorous mathematical constraints on the determinants …