Multi-Flavor Particle Physics with Quantum Monte Carlo

Monte Carlo simulations of gauge theories in the presence of fermions are typically done in the Lagrangian formulation. The fermionic Grassman variables are integrated out, leading to the so-called fermion determinant and an effective action sampled using the Hybrid Monte Carlo algorithm. This process can lead to fermion sign problems from the fermionic determinant and further sign problems if a topological theta angle is present.

I will present a new method of simulating an arbitrary number of flavors in (1+1)d Abelian gauge theories. The correlated cluster algorithm not only evades the sign problem of standard approaches but also allows for non-local updates of fermionic lines. The results provide a new path to explore particle physics in the Hamiltonian formulation and to validate quantum simulators of gauge theories.