Diffusion monte carlo in continuous time

A detailed outline of a diffusion Monte Carlo algorithm for lattice models is given. The method which relies on evolving wave functions in imaginary time using the operator e-HT is free of time step errors. It is applied to two models: 1) A lattice boson Hubbard model where the bosons carry an inter...

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Bibliographic Details
Published in:Journal of low temperature physics 2005-08, Vol.140 (3-4), p.281-292
Main Author: SYLJUASEN, Olav F
Format: Article
Language:English
Subjects:
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Exact sciences and technology
General theory and models of magnetic ordering
Lattice theory and statistics (ising, potts, etc.)
Magnetic properties and materials
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary:A detailed outline of a diffusion Monte Carlo algorithm for lattice models is given. The method which relies on evolving wave functions in imaginary time using the operator e-HT is free of time step errors. It is applied to two models: 1) A lattice boson Hubbard model where the bosons carry an internal spin-1 degree of freedom, and 2) The quantum dimer model on the square lattice. In the latter deconfinement of monomers is demonstrated for monomer hopping strengths exceeding a critical value.
ISSN:0022-2291
1573-7357
DOI:10.1007/s10909-005-6314-9