Complex paths around the sign problem
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 …
approach strongly coupled systems. It is used in all branches of physics, from QCD and …
Complex Langevin and other approaches to the sign problem in quantum many-body physics
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 …
many-body problem. Along the way, we present a brief overview of a number of ideas that …
Quantum critical points and the sign problem
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 …
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …
Solving the fermion sign problem in quantum Monte Carlo simulations by Majorana representation
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 …
interacting fermion models by employing a Majorana representation of complex fermions …
Sign-problem-free fermionic quantum Monte Carlo: Developments and applications
Reliable simulations of correlated quantum systems, including high-temperature
superconductors and frustrated magnets, are increasingly desired nowadays to further our …
superconductors and frustrated magnets, are increasingly desired nowadays to further our …
Monte Carlo studies of quantum critical metals
Metallic quantum critical phenomena are believed to play a key role in many strongly
correlated materials, including high-temperature superconductors. Theoretically, the …
correlated materials, including high-temperature superconductors. Theoretically, the …
Majorana-time-reversal symmetries: A fundamental principle for sign-problem-free quantum Monte Carlo simulations
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 …
quantum Monte Carlo (QMC) simulations can be solved generically. Here, we show that …
Fermionic quantum critical point of spinless fermions on a honeycomb lattice
Spinless fermions on a honeycomb lattice provide a minimal realization of lattice Dirac
fermions. Repulsive interactions between nearest neighbors drive a quantum phase …
fermions. Repulsive interactions between nearest neighbors drive a quantum phase …
Majorana positivity and the fermion sign problem of quantum Monte Carlo simulations
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 …
fermion systems. We examine this problem with a new perspective based on the Majorana …
[HTML][HTML] Towards quantum simulating QCD
UJ Wiese - Nuclear Physics A, 2014 - Elsevier
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 …
Abelian lattice gauge theories. They are ideally suited for quantum simulation, for example …