Universal SSE algorithm for Heisenberg model and Bose Hubbard model with interaction

Abstract

We propose universal SSE method for simulation of Heisenberg model with arbitrary spin and Bose Hubbard model with interaction. We report on the first calculations of soft-core bosons with interaction by the SSE method. Moreover we develop a simple procedure for increase efficiency of the algorithm. From calculation of integrated autocorrelation times we conclude that the method is efficient for both models and essentially eliminates the critical slowing down problem.

6 pages, 5 figures

References in corpus (18)

• 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 algorithms for general-S quantum spin systems
• Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model
• Nature of the quantum phase transitions in the two-dimensional hardcore boson model
• Finite-Temperature Phase Diagram of Hard-Core Bosons in Two Dimensions
• Classical percolation transition in the diluted two-dimensional S=1/2 Heisenberg antiferromagnet
• Field-Induced Magnetic Order in Quantum Spin Liquids
• Quantum Monte Carlo simulation of thin magnetic films
• Loop algorithms for quantum simulations of fermion models on lattices
• The Two-Dimensional S=1 Quantum Heisenberg Antiferromagnet at Finite Temperatures
• Numerical Study of the Spin-Flop Transition in Anisotropic Spin-1/2 Antiferromagnets
• Quantum spin chains in a magnetic field
• Ground state of the random-bond spin-1 Heisenberg chain
• Phase diagram and dynamics of the projected SO(5)-symmetric model of high-$T_c$ superconductivity
• Re-integerization of fractional charges in the correlated quarter-filled band
• Quantum Monte Carlo Study on Magnetization Processes

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• Nontrivial worldline winding in non-Hermitian quantum systems
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• Path Integral Monte Carlo in the Angular Momentum Basis for a Chain of Planar Rotors
• Numerical study of vortex system quantum melting