Directed update for the Stochastic Green Function algorithm

Abstract

In a recent publication (Phys. Rev E 77, 056705 (2008)),we have presented the stochastic Green function (SGF) algorithm, which has the properties of being general and easy to apply to any lattice Hamiltonian of the form H=V-T, where V is diagonal in the chosen occupation number basis and T has only positive matrix elements. We propose here a modified version of the update scheme that keeps the simplicity and generality of the original SGF algorithm, and enhances significantly its efficiency.

11 pages, 4 figures

References in corpus (10)

• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Exact, Complete, and Universal Continuous-Time Worldline Monte Carlo Approach to the Statistics of Discrete Quantum Systems
• Cluster Algorithm for Vertex Models
• Local quantum criticality in confined fermions on optical lattices
• Striped phase in a quantum XY-model with ring exchange
• The Stochastic Green Function (SGF) algorithm
• Quantum Monte Carlo simulation in the canonical ensemble at finite temperature
• Quantum phases of mixtures of atoms and molecules on optical lattices
• Ring Exchange and Phase Separation in the Two-dimensional Boson Hubbard model

Cited by in corpus (46)

• State diagrams for harmonically trapped bosons in optical lattices
• Self-learning Monte Carlo with Deep Neural Networks
• Many-body Multifractality throughout Bosonic Superfluid and Mott Insulator Phases
• Phase Diagram of Bosons in a 2D Optical Lattice with infinite-range Cavity-mediated Interactions
• Competing Supersolid and Haldane Insulator phases in the extended one-dimensional bosonic Hubbard model
• Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model
• Finite temperature QMC study of the one-dimensional polarized Fermi gas
• Competing phases, phase separation and co-existence in the extended one-dimensional bosonic Hubbard model
• Bose-Einstein condensation in quantum glasses
• Feshbach-Einstein condensates
• Interacting spin-1 bosons in a two-dimensional optical lattice
• A review of Monte Carlo simulations for the Bose-Hubbard model with diagonal disorder
• The superfluid density in continuous and discrete spaces: Avoiding misconceptions
• Exotic phases of interacting p-band bosons
• Ground state phase diagram of spin-1/2 bosons in a two-dimensional optical lattice
• Reptation quantum Monte Carlo for lattice Hamiltonians with a directed-update scheme
• One-dimensional Hubbard-Holstein model with finite range electron-phonon coupling
• Pairing and pair superfluid density in one-dimensional Hubbard models
• Nonlinear two-photon Rabi-Hubbard model: superradiance and photon/photon-pair Bose-Einstein condensate
• Pure Mott phases in confined ultracold atomic systems
• Anderson tower of states and nematic order of spin-1 bosonic atoms on a 2D lattice
• Two-photon Rabi-Hubbard and Jaynes-Cummings-Hubbard models: photon pair superradiance, Mott insulator and normal phases
• Quantum Monte Carlo Study of the Rabi-Hubbard Model
• Feshbach-Stabilized Insulator of Bosons in Optical Lattices
• Scaling properties of the Tan's contact: embedding pairs and correlation effect in the Tonks limit
• Phase diagram of spin-1/2 bosons in one-dimensional optical lattice
• Phase diagram of the Bose-Hubbard model on a ring-shaped lattice with tunable weak links
• Excitation and dynamics in the extended bose-hubbard model
• On the Validity of the Tomonaga Luttinger Liquid Relations for the One-dimensional Holstein Model
• Finite temperature phase diagram of spin-1/2 bosons in two-dimensional optical lattice
• Haldane Insulator in the 1D Nearest-Neighbor Extended Bose-Hubbard Model with Cavity-Mediated Long-Range Interactions
• Phase Diagrams of Antiferromagnetic Spin-1 Bosons on Square Optical Lattice with the Quadratic Zeeman Effect
• Quantum and Thermal Phase Transitions in a Bosonic Atom-Molecule Mixture in a Two-dimensional Optical Lattice
• Local Density of the Bose Glass Phase
• The MFA ground states for the extended Bose-Hubbard model with a three-body constraint
• Bosonic Kondo-Hubbard model
• Complex phases in the doped two-species bosonic Hubbard Model
• Magnetic Phase Transition in the Ground-State Phase Diagram of Binary Bose Gases in Optical Lattices
• Competing exotic quantum phases of spin-$1/2$ ultra-cold lattice bosons with extended spin interactions
• Phase Stability in the Two dimensional Anisotropic Boson Hubbard Hamiltonian
• Using off-diagonal confinement as a cooling method
• Variational Monte Carlo method for the Baeriswyl wavefunction: application to the one-dimensional bosonic Hubbard model
• Pairing in population imbalanced Fermion systems
• The Boson-Hubbard Model on a Kagome Lattice with Sextic Ring-Exchange Terms
• The Bose-Hubbard model on a triangular lattice with diamond ring-exchange
• Ferromagnetic phase in the polarized two-species bosonic Hubbard Model