Stochastic series expansion method with operator-loop update

Abstract

A cluster update (the ``operator-loop'') is developed within the framework of a numerically exact quantum Monte Carlo method based on the power series expansion of exp(-BH) (stochastic series expansion). The method is generally applicable to a wide class of lattice Hamiltonians for which the expansion is positive definite. For some important models the operator-loop algorithm is more efficient than loop updates previously developed for ``worldline'' simulations. The method is here tested on a two-dimensional anisotropic Heisenberg antiferromagnet in a magnetic field.

5 pages, 4 figures

References in corpus (1)

• Universal critical temperature for Kosterlitz-Thouless transitions in bilayer quantum magnets

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• Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
• Universal Behavior in Entanglement Entropy Reveals Quantum Criticality and Underlying Symmetry Breaking
• A case study of bilayered spin-$1/2$ square lattice compound [VO(HCOO)${}_2\cdot$(H${}_2$O)]
• Two-Peak Heat Capacity Accounts for $R\ln (2)$ Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce${}_2$Hf${}_2$O${}_7$
• Commensurate lock-in and incommensurate supersolid phases of hardcore bosons on anisotropic triangular lattices
• Dynamical properties of the Haldane chain with bond disorder
• Staggered quantum phases of dipolar bosons at finite temperatures
• The Future of the Correlated Electron Problem
• Neural Network Analytic Continuation for Monte Carlo: Improvement by Statistical Errors
• Quasi two-dimensional magnetism in spin-$\frac{1}{2}$ square lattice compound Cu[C${}_6$H${}_2$(COO)${}_4$][H${}_3$N-(CH${}_2$)${}_2$-NH${}_3$]$\cdot$3H${}_2$O
• Kekulé valence bond order in the Hubbard model on the honeycomb lattice with possible lattice distortions for graphene
• Transition matrix Monte Carlo method for quantum systems
• Quantum order by disorder in a spin-one frustrated magnet on the kagome lattice
• Anomalous scaling corrections and quantum phase diagram of the Heisenberg antiferromagnet on the spatially anisotropic honeycomb lattice
• Symmetric projected entangled-pair states analysis of a phase transition in coupled spin-1/2 ladders
• Quantum spin state stabilized by coupling with classical spins
• Validity of Harris criterion for two-dimensional quantum spin systems with quenched disorder
• Quantum Hall Bilayer as Pseudospin Magnet
• Quantum Transport Theory of Strongly Correlated Matter
• Reduction of the sign problem using the meron-cluster approach
• Redistribution of Spectral Weight in Spin-1/2-Doped Haldane Chains
• The magnetic susceptibility of exchange-disordered antiferromagnetic finite chains
• The Effect of FM Inter-ladder coupling in spin-1/2 AFM two-Leg Ladders in the presence of a magnetic field: Quantum Monte Carlo Study
• Measuring Non-local Brane Order with Error-corrected Parity Snapshots
• Carlo.jl: A general framework for Monte Carlo simulations in Julia
• Exact duality and dual Monte-Carlo simulation for the Bosonic Hubbard model
• Fluctuation based interpretable analysis scheme for quantum many-body snapshots
• Quantum gapped state in a spin-1/2 distorted honeycomb-based lattice with frustration
• Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids
• Scaling and data collapse of two-dimensional random singlet state in magnetic field
• Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions
• Confinement and critical regime in doped frustrated quasi-one dimensional magnets
• Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
• Spin dynamics of the planar kagome lattice ferromagnet with four-site ring exchange processes
• Persistent Corner Spin Mode at the Quantum Critical Point of a Plaquette Heisenberg Model
• Design principles of deep translationally-symmetric neural quantum states for frustrated magnets
• Universal quantum criticality at finite temperature for two-dimensional disordered and clean dimerized spin-$\frac{1}{2}$ antiferromagnets
• Universal scaling of three-dimensional dimerized quantum antiferromagnets on bipartite lattices
• Static versus dynamic fluctuations in the one-dimensional extended Hubbard model
• Finite-Temperature Properties across the Charge Ordering Transition -- Combined Bosonization, Renormalization Group, and Numerical Methods
• Statistical properties of worm algorithms for two dimensional frustrated Ising models
• First-order commensurate-incommensurate magnetic phase transition in the coupled FM spin-1/2 two-leg ladders
• Charge Gaps at Fractional Fillings in Boson Hubbard Ladders
• Neel to spin-Peierls transition in a quasi-1D Heisenberg model coupled to bond phonons
• Improvements to the Stochastic Series Expansion method for the $J{Q}_2$ model with a magnetic field
• Computational scheme for the spin-1/2 square lattice Heisenberg antiferromagnet based on an octapartite description of the square lattice
• Loop Algorithm for Quantum Transverse Ising Model in a Longitudinal Field
• Phase transitions in the spin-1/2 Heisenberg antiferromagnet on the dimerized diamond lattice
• A short-loop algorithm for quantum Monte Carlo simulations
• Accelerating ground-state auxiliary-field quantum Monte Carlo simulations by delayed update and block force-bias update
• Robustness of Magic in the quantum Ising chain via Quantum Monte Carlo tomography
• Quintuplet condensation in the skyrmionic insulator Cu2OSeO3 at ultrahigh magnetic fields
• Emergence of Kondo-assisted Néel order in a Kondo necklace model
• Proximate Tomonaga-Luttinger liquid in a spin-1/2 ferromagnetic XXZ chain compound
• Investigation of Thermodynamic Properties of Cu(NH3)4SO4.H2O, a Heisenberg Spin Chain Compound
• Criticality in coupled quantum spin-chains with competing ladder-like and two-dimensional couplings
• Effects of edge disorder in nano-scale antiferromagnetic clusters
• Engineering many-body quantum Hamiltonians with non-ergodic properties using quantum Monte Carlo
• Frustration induced incommensurate solids in the extended Bose-Hubbard model
• Analysis of Pseudo-Random Number Generators in QMC-SSE Method
• Gapless behavior in a two-leg spin ladder with bond randomness
• Switching magnetization of quantum antiferromagnets: Schwinger boson mean-field theory compared to exact diagonalization
• Detecting the Largest Correlations using the Correlation Density Matrix: a Quantum Monte Carlo Approach
• The two dimensional Antiferromagnetic Heisenberg model with next nearest neighbour Ising exchange
• Post-measurement Quantum Monte Carlo
• Square-Lattice Antiferromagnet Subjected to a Magnetic Field Aligned with the Order Parameter
• Mott Insulators in a Fully-Frustrated Bose Hubbard Model on the Honeycomb Lattice
• Accessing Excitation of Many-body Systems via Single-Mode Approximation within Quantum Monte Carlo Simulations
• Thermodynamic properties of disordered quantum spin ladders
• Thermal coupled cluster theory for SU(2) systems
• Thermal DMRG for highly frustrated quantum spin chains: a user perspective
• Quantum criticality at finite temperature for two-dimensional $J{Q}_3$ models on the square and the honeycomb lattices
• Computing quantum phase transitions
• Two-step melting of three-sublattice order in $S=1$ easy-axis triangular lattice antiferromagnets
• A universal neural network for learning phases and criticalities
• Bell sampling in Quantum Monte Carlo simulations
• Advanced measurement techniques in quantum Monte Carlo: The permutation matrix representation approach
• A quantum Monte Carlo algorithm for arbitrary high-spin Hamiltonians
• Deconfined Quantum Phase Transition of a Higher-Order Symmetry-Protected Topological State
• Minimal energy ensemble Monte Carlo for the partition function of fermions coupled to classical fields
• Quantum Monte Carlo and Stabilizer States
• Breathing kagome XY quantum magnet with four-site ring exchange
• Entanglement of Hard-Core Bosons in Bipartite Lattices
• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model
• Worldline algorithm by oracle-guided variational autoregressive network
• Magnetic ordering in doped coupled frustrated quantum spin-1/2 chains with 4-spin exchange
• Monte Carlo determination of the low-energy constants for a two-dimensional spin-1 Heisenberg model with spatial anisotropy
• First-order Néel-VBS transition in $S=3/2$ antiferromagnets
• Evidence of anomalous Curie constants for nonmagnetic impurities in a critical 2-dimensional $J{Q}_3$ model on the honeycomb lattice
• Experimental benchmark of the quantum-classical crossover in a spin ladder
• Specific heat and susceptibility of S=1/2 antiferromagnets on square, triangular, and kagome lattices
• Inhomogeneous quantum antiferromagnetism on periodic lattices
• High-precision ground state parameters of the two-dimensional spin-1/2 Heisenberg model on the square lattice
• Single-hole spectral functions in one-dimensional quantum magnets with different ground states
• Exploring the limit of the Lattice-Bisognano-Wichmann form describing the Entanglement Hamiltonian: A quantum Monte Carlo study
• Boundary Renormalization Group Flow of Entanglement Entropy at a (2+1)-Dimensional Quantum Critical Point
• Detecting underlying symmetry-protected topological phases via strange correlators and edge engineering
• Magnetization plateaus in generalized Shastry-Sutherland models
• Optimized Gutzwiller Projected States for Doped Antiferromagnets in Fermi-Hubbard Simulators
• Spontaneous continuous-symmetry breaking and tower of states in a comb chain
• Ground state energy density, susceptibility, and Wilson ratio of a two-dimensional disordered quantum spin system