Quantum simulations of the superfluid-insulator transition for two-dimensional, disordered, hard-core bosons

Abstract

We introduce two novel quantum Monte Carlo methods and employ them to study the superfluid-insulator transition in a two-dimensional system of hard-core bosons. One of the methods is appropriate for zero temperature and is based upon Green's function Monte Carlo; the other is a finite-temperature world-line cluster algorithm. In each case we find that the dynamical exponent is consistent with the theoretical prediction of $z=2$ by Fisher and co-workers.

Revtex, 10 pages, 3 figures (postscript files attached at end, separated by %%%%%% Fig # %%%%%, where # is 1-3). LA-UR-94-2708

References in corpus (3)

• Cluster Algorithm for Vertex Models
• The superconductor-insulator transition in 2D dirty boson systems
• Loop algorithms for quantum simulations of fermion models on lattices

Cited by in corpus (48)

• The Loop Algorithm
• The Dynamic Exponent of the Two-Dimensional Ising Model and Monte Carlo Computation of the Sub-Dominant Eigenvalue of the Stochastic Matrix
• Superfluidity vs Bose-Einstein condensation in a Bose gas with disorder
• Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
• Dipolar Bose Superstripes
• Particle-hole symmetry and the dirty boson problem
• Dilute Bose gas with correlated disorder: A Path Integral Monte Carlo study
• Bose-Einstein Quantum Statistics and the Ground State of Solid 4He
• Supersolidity in quantum films adsorbed on graphene and graphite
• Superfluid transition in a Bose gas with correlated disorder
• Superfluid, Mott-Insulator, and Mass-Density-Wave Phases in the One-Dimensional Extended Bose-Hubbard Model
• The superfluid-insulator transition in the disordered two-dimensional Bose-Hubbard model
• Generalization of the Fortuin-Kasteleyn transformation and its application to quantum spin simulations,
• Numerical study of vortex matter using the Bose model: First-order melting and entanglement
• Critical Properties of the Superfluid - Bose Glass Transition in Two Dimensions
• Bose glass transition and spin-wave localization for 2D bosons in a random potential
• Quantum Phase Transitions of Hard-Core Bosons in Background Potentials
• Dirty Bosons: Twenty Years Later
• Step-Bunching Transitions on Vicinal Surfaces and Quantum n-mers
• Quantum Critical Scaling of Dirty Bosons in Two Dimensions
• Quasiequilibrium supersolid phase of a two-dimensional dipolar crystal
• Supersolid Stripes Enhanced by Correlations in a Raman Spin-Orbit-Coupled System
• The Generic, Incommensurate Transition in the two-dimensional Boson Hubbard Model
• Superfluid and supersolid phases of 4He on the second layer of graphite
• Superfluidity and Bose-Einstein condensation in a dipolar Bose gas with weak disorder
• Quantum Monte Carlo Loop Algorithm for the t-J Model
• Stripes, topological order, and deconfinement in a planar t-Jz model
• Localization of disordered bosons and magnets in random fields
• Two-dimensional molecular para-hydrogen and ortho-deuterium at zero temperature
• Superfluid behavior of quasi-1D p-H${}_2$ inside carbon nanotube
• Ground-state properties and superfluidity of two- and quasi two-dimensional solid 4He
• Mobility edge of the two dimensional Bose-Hubbard model
• Interaction effects in non-Hermitian models of vortex physics
• Possible superfluidity of molecular hydrogen in a two-dimensional crystal phase of sodium
• Stochastic approximation of dynamical exponent at quantum critical point
• Superfluidity versus localization in bulk 4He at zero temperature
• Separation of two regimes in a disordered boson Hubbard Model
• Dirty bosons on the Cayley tree: Bose-Einstein condensation versus ergodicity breaking
• Local Density of the Bose Glass Phase
• A continuous model for bosonic hard spheres in quasi one-dimensional optical lattices
• The quasi-particle gap in a disordered boson Hubbard model in two dimensions
• Bosonic hard spheres in quasi-one dimensional bichromatic optical lattices
• Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
• Numerical analysis of the magnetic-field-tuned superconductor-insulator transition in two dimensions
• H2 superglass on an amorphous carbon substrate
• Phases of ${}^4$He and H${}_2$ adsorbed on a single carbon nanotube
• He-4 monolayer on Graphene: a Quantum Monte Carlo study
• Quantum Monte Carlo study of strongly interacting bosonic one-dimensional systems in periodic potentials