Smakov Jurij, Harada Kenji, Kawashima Naoki
Condensed Matter Theory, Department of Physics, Royal Institute of Technology, AlbaNova University Center, SE-10691 Stockholm, Sweden.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Oct;68(4 Pt 2):046708. doi: 10.1103/PhysRevE.68.046708. Epub 2003 Oct 21.
An efficient quantum Monte Carlo algorithm for the simulation of bosonic systems on a lattice in a grand canonical ensemble is proposed. It is based on the mapping of bosonic models to the spin models in the limit of the infinite total spin quantum number. It is demonstrated how this limit may be taken explicitly in the algorithm, eliminating the systematic errors. The efficiency of the algorithm is examined for the noninteracting lattice boson model and compared with the stochastic series expansion method with the heat-bath-type scattering probability of the random walker.
提出了一种用于在巨正则系综中模拟晶格上玻色子系统的高效量子蒙特卡罗算法。它基于在无限总自旋量子数极限下将玻色子模型映射到自旋模型。展示了如何在算法中明确取这个极限，消除系统误差。针对非相互作用晶格玻色子模型检验了该算法的效率，并与具有随机游走者热浴型散射概率的随机级数展开方法进行了比较。
