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 …

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

Despite their exceptional flexibility and popularity, Monte Carlo methods often suffer from
slow mixing times for challenging statistical physics problems. We present a general strategy …

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 …

Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …

It is sometimes speculated that the sign problem that afflicts many quantum field theories
might be reduced or even eliminated by choosing an alternative domain of integration within …

Quantum field theories (QFTs) at finite densities of matter generically involve complex
actions. Standard Monte Carlo simulations based upon importance sampling, which have …

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

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

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 …