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 …
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 …
Accelerated Monte Carlo simulations with restricted Boltzmann machines
L Huang, L Wang - Physical Review B, 2017 - APS
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 …
slow mixing times for challenging statistical physics problems. We present a general strategy …
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 …
Review on novel methods for lattice gauge theories
MC Banuls, K Cichy - Reports on Progress in Physics, 2020 - iopscience.iop.org
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 …
quantum field theories, and has led to impressive achievements. In particular, it significantly …
New approach to the sign problem in quantum field theories:<? format?> High density QCD on a Lefschetz thimble
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 …
might be reduced or even eliminated by choosing an alternative domain of integration within …
Approaches to the sign problem in lattice field theory
C Gattringer, K Langfeld - International Journal of Modern Physics A, 2016 - World Scientific
Quantum field theories (QFTs) at finite densities of matter generically involve complex
actions. Standard Monte Carlo simulations based upon importance sampling, which have …
actions. Standard Monte Carlo simulations based upon importance sampling, which have …
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 …
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 …
[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 …