The Monte Carlo evaluation of path integrals is one of a few general purpose methods to
approach strongly coupled systems. It is used in all branches of physics, from QCD and …

We review the theory and applications of complex stochastic quantization to the quantum
many-body problem. Along the way, we present a brief overview of a number of ideas that …

The “sign problem”(SP) is a fundamental limitation to simulations of strongly correlated
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …

We discover a quantum Monte Carlo (QMC) method to solve the fermion sign problem in
interacting fermion models by employing a Majorana representation of complex fermions …

Reliable simulations of correlated quantum systems, including high-temperature
superconductors and frustrated magnets, are increasingly desired nowadays to further our …

Metallic quantum critical phenomena are believed to play a key role in many strongly
correlated materials, including high-temperature superconductors. Theoretically, the …

A fundamental open issue in physics is whether and how the fermion sign problem in
quantum Monte Carlo (QMC) simulations can be solved generically. Here, we show that …

Spinless fermions on a honeycomb lattice provide a minimal realization of lattice Dirac
fermions. Repulsive interactions between nearest neighbors drive a quantum phase …

The sign problem is a major obstacle in quantum Monte Carlo simulations for many-body
fermion systems. We examine this problem with a new perspective based on the Majorana …

Quantum link models provide an alternative non-perturbative formulation of Abelian and non-
Abelian lattice gauge theories. They are ideally suited for quantum simulation, for example …