Worm Algorithm for Continuous-space Path Integral Monte Carlo Simulations

Abstract

We present a new approach to path integral Monte Carlo (PIMC) simulations based on the worm algorithm, originally developed for lattice models and extended here to continuous-space many-body systems. The scheme allows for efficient computation of thermodynamic properties, including winding numbers and off-diagonal correlations, for systems of much greater size than that accessible to conventional PIMC. As an illustrative application of the method, we simulate the superfluid transition of Helium-four in two dimensions.

Fig. 2 differs from that of published version (includes data for larger system sizes)

References in corpus (1)

• Ring exchanges and the supersolid phase of 4He

Cited by in corpus (240)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Condensed Matter Theory of Dipolar Quantum Gases
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Strongly correlated gases of Rydberg-dressed atoms: quantum and classical dynamics
• Long-range interacting quantum systems
• The Uniform Electron Gas at Warm Dense Matter Conditions
• A superfluid-droplet crystal and a free-space supersolid in a dipole-blockaded gas
• Luttinger Liquid in the Core of Screw Dislocation in Helium-4
• Superglass Phase of Helium-four
• \textit{Ab Initio} Path Integral Monte Carlo Results for the Dynamic Structure Factor of Correlated Electrons: From the Electron Liquid to Warm Dense Matter
• Superfluidity of Grain Boundaries in Solid Helium-4
• Excitation spectrum of a supersolid
• The fate of vacancy-induced supersolidity in 4He
• Defect-induced supersolidity with soft-core bosons
• The Fermion Sign Problem in Path Integral Monte Carlo Simulations: Quantum Dots, Ultracold Atoms, and Warm Dense Matter
• Supersolid Vortex Crystals in Rydberg-dressed Bose-Einstein Condensates
• Superfluidity and Quantum Melting of para-Hydrogen clusters
• Structure, superfluidity, and quantum melting of hydrogen clusters
• Elementary excitations of ultracold soft-core bosons across the superfluid-supersolid phase transition
• The Static Local Field Correction of the Warm Dense Electron Gas: An ab Initio Path Integral Monte Carlo Study and Machine Learning Representation
• Electronic Density Response of Warm Dense Matter
• Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
• Ab Initio Path Integral Monte Carlo Approach to the Static and Dynamic Density Response of the Uniform Electron Gas
• Helium-4 Luttinger liquids in nanopores
• First principles simulations of dense hydrogen
• Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
• Phase diagram of 4He adsorbed on graphite
• Path Integral Molecular Dynamics for Bosons
• Nonlinear Electronic Density Response in Warm Dense Matter
• A molecular superfluid: non-classical rotations in doped para-hydrogen clusters
• Local stress and superfluid properties of solid Helium-4
• Critical temperature of interacting Bose gases in two and three dimensions
• Permutation blocking path integral Monte Carlo approach to the uniform electron gas at finite temperature
• The momentum distribution of the homogeneous electron gas
• Quantum Bubbles in Microgravity
• Local Superfluidity of Parahydrogen Clusters
• Interacting bosons in one dimension and Luttinger liquid theory
• Microscopic molecular superfluid response: theory and simulations
• Mott Transition for Strongly-Interacting 1D Bosons in a Shallow Periodic Potential
• Phase diagram of soft-core bosons in two dimensions
• Classical and quantum filaments in the ground state of trapped dipolar Bose gases
• The Strongly Coupled Electron Liquid: ab initio Path Integral Monte Carlo Simulations and Dielectric Theories
• Dynamic properties of the warm dense electron gas: an ab initio path integral Monte Carlo approach
• Exact ground state Monte Carlo method for Bosons without importance sampling
• Universal scaling of density and momentum distributions in Lieb-Liniger gases
• Path Integral Monte Carlo Simulation of Degenerate Electrons: Permutation-Cycle Properties
• Dynamical mean-field theory for bosons
• Superfluid filaments of dipolar bosons in free space
• Permutation Blocking Path Integral Monte Carlo approach to the Static Density Response of the Warm Dense Electron Gas
• Ab initio results for the plasmon dispersion and damping of the warm dense electron gas
• Density Response of the Warm Dense Electron Gas beyond Linear Response Theory: Excitation of Harmonics
• Dilute Bose gas with correlated disorder: A Path Integral Monte Carlo study
• Nonlinear density response from imaginary-time correlation functions: Ab initio path integral Monte Carlo simulations of the warm dense electron gas
• Attenuating the fermion sign problem in path integral Monte Carlo simulations using the Bogoliubov inequality and thermodynamic integration
• Diagrammatic Monte Carlo study of the Fermi polaron in two dimensions
• Finite-size effects in the reconstruction of dynamic properties from ab initio path integral Monte-Carlo simulations
• Role of Bose Statistics in Crystallization and Quantum Jamming
• Patterned Supersolids in Dipolar Bose Systems
• Tan's Contact for Trapped Lieb-Liniger Bosons at Finite Temperature
• A path integral Monte Carlo method for Rényi entanglement entropies
• Entanglement area law in superfluid ${}^4$He
• On the thermodynamic properties of fictitious identical particles and the application to fermion sign problem
• Overcoming finite-size effects in electronic structure simulations at extreme conditions
• Superfluid transition in a Bose gas with correlated disorder
• Universal Superfluid Transition and Transport Properties of Two-Dimensional Dirty Bosons
• Phase diagram of ${}^4$He on graphene
• The Relevance of Electronic Perturbations in the Warm Dense Electron Gas
• Ground State Phase Diagram of Parahydrogen in One Dimension
• Benchmarking Exchange-Correlation Functionals in the Spin-Polarized Inhomogeneous Electron Gas under Warm Dense Conditions
• Effective electronic forces and potentials from ab initio path integral Monte Carlo simulations
• Fermion Sign Problem in Path Integral Monte Carlo Simulations: Grand-canonical ensemble
• Ab initio path integral Monte Carlo simulation of the Uniform Electron Gas in the High Energy Density Regime
• Quantum statistics and the momentum distribution of liquid para-hydrogen
• Quantum de-mixing in binary mixtures of dipolar bosons
• Path-Integral Ground-State and Superfluid Hydrodynamics of a Bosonic Gas of Hard Spheres
• Integral equation theory based dielectric scheme for strongly coupled electron liquids
• Binding of a 3He impurity to a screw dislocation in solid 4He
• Fibonacci anyons versus Majorana fermions
• Single-atom-resolved probing of lattice gases in momentum space
• On the possible "supersolid" character of parahydrogen clusters
• Ground state and excitation properties of soft-core bosons
• Ab initio path integral Monte Carlo simulations of hydrogen snapshots at warm dense matter conditions
• Phases of dipolar bosons in a bilayer geometry
• Structure, Bose-Einstein condensation and superfluidity of two-dimensional confined dipolar assemblies
• Unitary dynamics of strongly-interacting Bose gases with time-dependent variational Monte Carlo in continuous space
• Extraction of the frequency moments of spectral densities from imaginary-time correlation function data
• Rapidity and momentum distributions of 1D dipolar quantum gases
• Assessing the accuracy of hybrid exchange-correlation functionals for the density response of warm dense electrons
• Absence of superfluidity in 2D dipolar Bose striped crystals
• Supersolid phases of bosonic particles in a bubble trap
• Recursive Schr\" odinger Equation Approach to Faster Converging Path Integrals
• Path Integral Molecular Dynamics for Exact Quantum Statistics of Multi-Electronic-State Systems
• Pair potentials and equation of state of solid parahydrogen to megabar pressure
• The uniform electron gas at high temperatures: \emph{ab initio} path integral Monte Carlo simulations and analytical theory
• Quantum Cluster Quasicrystals
• Superfluidity of isotopically doped parahydrogen clusters
• On the thermodynamics of fermions at any temperature based on parametrized partition function
• Quantum Monte Carlo measurement of the chemical potential of helium-4
• Finite-temperature phases of trapped bosons in a two-dimensional quasiperiodic potential
• Path-integral Monte Carlo worm algorithm for Bose systems with periodic boundary conditions
• Thin helium film on a glass substrate
• Properties of Quantum Systems via Diagonalization of Transition Amplitudes II: Systematic Improvements of Short-time Propagation
• Reptation quantum Monte Carlo for lattice Hamiltonians with a directed-update scheme
• Diagrammatic Monte Carlo approach to angular momentum in quantum many-particle systems
• Search for superfluidity in supercooled liquid parahydrogen
• Quasi-1D parahydrogen in nanopores
• Strongly-interacting bosons at 2D-1D Dimensional Crossover
• Path Integral Monte Carlo study confirms a highly ordered snowball in 4He nanodroplets doped with an Ar+ ion
• Observation of universal dissipative dynamics in strongly correlated quantum gas
• Disorder and the elusive superfluid phase of para-hydrogen
• Absence of superfluidity in a quasi one-dimensional parahydrogen fluid adsorbed inside carbon nanotubes
• Kinetic energy and momentum distribution of isotopic liquid helium mixtures
• Ab initio Path Integral Monte Carlo Simulations of Quantum Dipole Systems in Traps: Superfluidity, Quantum Statistics, and Structural Properties
• Normal liquid ${}^3$He studied by Path Integral Monte Carlo with a parametrized partition function
• Quadratic Scaling Bosonic Path Integral Molecular Dynamics
• Atomic displacements in quantum crystals
• Attractive Solution of Binary Bose Mixtures: Liquid-Vapor Coexistence and Critical Point
• Correlation properties of a one-dimensional repulsive Bose gas at finite temperature
• Jellium at finite temperature using the restricted worm algorithm
• Thermodynamics of a dilute Bose gas: A path-integral Monte Carlo study
• Absence of superfluidity in a parahydrogen film intercalated within a crystal of Na atoms
• Quadratic scaling path integral molecular dynamics for fictitious identical particles and its application to fermion systems
• Tuneable defect interactions and supersolidity in dipolar quantum gases on a lattice potential
• Off-diagonal correlations in a one-dimensional gas of dipolar bosons
• Path integral molecular dynamics simulations for Green's function in a system of identical bosons
• Mesoscopic dipolar quantum crystals
• Experimental Realization of One Dimensional Helium
• Supertransport by Superclimbing Dislocations in ${}^4$He: When All Dimensions Matter
• Lifted Worm Algorithm for the Ising Model
• Equation of state of solid parahydrogen using ab initio two-body and three-body interaction potentials
• Mott transition for a Lieb-Liniger gas in a shallow quasiperiodic potential: Delocalization induced by disorder
• The Momentum Distribution of Liquid ${}^4$He
• Tuning the quantumness of simple Bose systems: A universal phase diagram
• Molecular hydrogen isotopes adsorbed on krypton-preplated graphite: Quantum Monte Carlo simulations
• Specific heat of thin ${}^4$He films on graphite
• Enhanced superfluid response of parahydrogen in nanoscale confinement
• Effective interaction potential and superfluid-solid transition of spatially indirect excitons
• Dimensional Reduction of Helium-4 Inside Argon Plated MCM-41 Nanopores
• Phase separation in binary Bose mixtures at finite temperature
• Jellium at finite temperature
• Abnormal superfluid fraction and structural properties of electrons in 2D and 3D quantum dots: an ab initio path-integral Monte Carlo study
• One-component fermion plasma on a sphere at finite temperature
• Estimates of the dynamic structure factor for the finite temperature electron liquid via analytic continuation of path integral Monte Carlo data
• Accelerated free energy estimation in ab initio path integral Monte Carlo simulations
• Trapped Bose-Bose mixtures at finite temperature: a quantum Monte Carlo approach
• Quantum Gibbs ensemble Monte Carlo
• Energy response and spatial alignment of the perturbed electron gas
• Excitations of amorphous solid helium
• Critical Temperature of Interacting Bose Gases in Periodic Potentials
• Topological quantum phases of ${}^4$He confined to nanoporous materials
• Fast Converging Path Integrals for Time-Dependent Potentials II: Generalization to Many-body Systems and Real-Time Formalism
• Dynamic properties and the roton mode attenuation in the liquid 3He: an ab initio study within the self-consistent method of moments
• Superfluid transition of the second layer of He-4 on graphite: does substrate corrugation matter?
• Superfluid response of parahydrogen clusters in superfluid He-4
• Ground state phase diagram of Gaussian-Core bosons in two dimensions
• A Path Integral Ground State Monte Carlo Algorithm for Entanglement of Lattice Bosons
• Morphology of dipolar Bose droplets
• Two component boson-fermion plasma at finite temperature
• Quasi-one-dimensional ${}^4$He in nanopores
• Dipolar bosons in one dimension: the case of longitudinal dipole alignment
• Incommensurability effects on dipolar bosons in optical lattices
• Multiworm algorithm quantum Monte Carlo
• Demixing in symmetric supersolid mixtures
• Strain-induced superfluid transition for atoms on graphene
• Multiband Effects and the Bose-Hubbard Model in One-Dimensional Lattices
• Superglass formation in an atomic BEC with competing long-range interactions
• Bose-Hubbard model on a star lattice
• Cluster stability driven by quantum fluctuations
• Quantum droplets in two-dimensional Bose mixtures at finite temperature
• Supersolid induced by dislocations with superfluid cores (Review article)
• A quantum Monte Carlo based density functional for Dysprosium dipolar system
• Absence of off-diagonal long-range order in hcp ${}^4$He dislocation cores
• Gas-liquid coexistence for the bosons square-well fluid and the $\mbox{}^4$He binodal anomaly
• Neural Network Interaction Potentials for para-Hydrogen with Flexible Molecules
• GPU acceleration of ab initio simulations of large-scale identical particles based on path integral molecular dynamics
• Revisiting the properties of superfluid and normal liquid ${}^4$He using ab initio potentials
• Systematics of small parahydrogen clusters in two dimensions
• Zonal estimators for quasiperiodic bosonic many-body phases
• Computer simulation study of nanoscale size parahydrogen clusters
• Muonium hydride: the lowest density crystal
• Supercooled superfluids in Monte Carlo simulations
• Superfluidity of 4He nanoclusters in confinement
• Clock Factorized Quantum Monte Carlo Method for Long-range Interacting Systems
• Effects of gravity on supersolid order in bubble-trapped bosons
• Effect of Disorder on the Superfluid Transition in Two-Dimensional Systems
• Transverse Quantum Superfluids
• Ground-state Properties of a Supersolid in RPA
• Microscopic pair potentials and the physical properties of the condensed phase of parahydrogen
• Comment on "Berezinskii-Kosterlitz-Thouless transition in two-dimensional dipolar stripes"
• Adsorption of parahydrogen on graphene
• Helicity modulus in the bilayer XY model by worm algorithm
• Using Markov transition matrices to generate trial configurations in Markov chain Monte Carlo simulations
• Supersolid phase in two-dimensional soft-core bosons at finite temperature
• Properties of fermionic systems with the Path-integral ground state method
• A short-loop algorithm for quantum Monte Carlo simulations
• Hard core repulsion and supersolid cluster crystals
• Momentum distribution of the Uniform Electron Gas at finite temperature: Effects of spin-polarization
• A Pseudo-Fermion Propagator Approach to the Fermion Sign Problem
• Computer simulations of supercooled liquid hydrogen mixtures and the possible crystallization slowdown
• Phase diagram and crystal melting of helium-4 in two dimensions
• Effects of substrate corrugation during helium adsorption on graphene in the grand canonical ensemble
• Roton excitation in overpressurized superfluid He-4
• Anomalously Small Excitation Gaps as a Precursor of Dislocation Core Superfluidity in Solid Helium-4
• Quantum Monte Carlo study of thin parahydrogen films on graphite
• He-4 monolayer on Graphene: a Quantum Monte Carlo study
• Evaluation of the Permutational Structure of the Canonical Ensemble Partition Function
• A projected complex Langevin sampling method for bosons in the canonical and microcanonical ensembles
• Momentum distribution of He-3 in one dimension
• Thermodynamics and Tomonaga-Luttinger liquid behavior of the quantum 1D hard rod model
• Combining Harmonic Sampling with the Worm Algorithm to Improve the Efficiency of Path Integral Monte Carlo
• Path-integral Monte Carlo simulations of solid parahydrogen using two-body, three-body, and four-body ab initio interaction potential energy surfaces
• Thin He-4 films on alkali substrates: where do He-3 atoms bind?
• Path integral Monte Carlo simulation of charged particles in traps
• Quantum simulation of 3He impurities and of 4He interstitials in solid 4He
• Quantum Monte Carlo simulations of bosonic and fermionic impurities in a two-dimensional hard-core boson system
• Accessing Excitation of Many-body Systems via Single-Mode Approximation within Quantum Monte Carlo Simulations
• Path Integral Monte Carlo Simulations of liquid ${}^3$He without Fixed Nodes: Structural Properties and Collective Excitations
• Nonlinear electronic density response of the warm dense electron gas: multiple perturbations and mode coupling
• Hole-induced anomaly in the thermodynamic behavior of a one-dimensional Bose gas
• Ground state correlations in the one-dimensional Fermi one-component plasma
• Quantum Monte Carlo study of strongly interacting bosonic one-dimensional systems in periodic potentials
• Phase diagram of muonium hydride: when dimensionality matters
• Fermionic-propagator and alternating-basis quantum Monte Carlo methods for correlated electrons on a lattice
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Superfluid response of two-dimensional parahydrogen clusters in confinement
• Bose one-component plasma in 2D: a Monte Carlo study
• Exchange-driven self-diffusion of nanoscale crystalline parahydrogen clusters on graphite
• Forward and non-forward symplectic integrators in solving classical dynamics problems
• Trimer superfluidity of antiparallel dipolar excitons in a bilayer heterostructure
• PyLIT: Reformulation and implementation of the analytic continuation problem using kernel representation methods
• Friedel oscillations in one-dimensional 4He
• Suppression of superfluidity by dissipation -- An application to failed superconductor
• Classical Simulation of High Temperature Quantum Ising Models
• Liquid-liquid transition in a Bose fluid near collapse
• The Early Years of Quantum Monte Carlo (2): Finite Temperature Simulations
• Exact nonequilibrium hole dynamics, magnetic polarons and string excitations in antiferromagnetic Bethe lattices
• Bound state of a He-3 atom at the interface of crystal and superfluid He-4
• Extended Bose-Hubbard Model on Small Grids: Exact Diagonalization and Monte Carlo Studies
• Coherent State Path Integral Monte Carlo