Accessing the dynamics of large many-particle systems using the stochastic series expansion.

作者: Ansgar Dorneich , Matthias Troyer

DOI: 10.1103/PHYSREVE.64.066701

关键词:

摘要: The stochastic series expansion (SSE) method is a quantum Monte Carlo (QMC) technique working directly in the imaginary time continuum and thus avoiding "Trotter discretization" errors. Using nonlocal "operator-loop update," it allows one to treat large mechanical systems of many thousand sites. In this paper we first give comprehensive review on SSE present benchmark calculations scaling behavior with system size inverse temperature, compare loop algorithm, whose known be best all QMC methods. Finally introduce an efficient algorithm measure Green's functions dynamical properties within SSE.

参考文章(21)
J. E. Hirsch, R. L. Sugar, D. J. Scalapino, R. Blankenbecler, Monte Carlo Simulations of One-dimensional Fermion Systems Physical Review B. ,vol. 26, pp. 5033- 5055 ,(1982) , 10.1103/PHYSREVB.26.5033
Hans Gerd Evertz, Gideon Lana, Mihai Marcu, Cluster algorithm for vertex models. Physical Review Letters. ,vol. 70, pp. 875- 879 ,(1993) , 10.1103/PHYSREVLETT.70.875
Hans Gerd Evertz, Mihai Marcu, The Loop-Cluster Algorithm for the Case of the 6 Vertex Model Nuclear Physics B - Proceedings Supplements. ,vol. 30, pp. 277- 280 ,(1993) , 10.1016/0920-5632(93)90208-N
U.-J. Wiese, H.-P. Ying, Blockspin Cluster Algorithms for Quantum Spin Systems arXiv: Condensed Matter. ,(1992) , 10.1016/0375-9601(92)90077-Y
U. -J. Wiese, H. -P. Ying, A determination of the low energy parameters of the 2-d Heisenberg antiferromagnet European Physical Journal B. ,vol. 93, pp. 147- 150 ,(1994) , 10.1007/BF01316955
N. Kawashima, J. E. Gubernatis, H. G. Evertz, Loop algorithms for quantum simulations of fermion models on lattices. Physical Review B. ,vol. 50, pp. 136- 149 ,(1994) , 10.1103/PHYSREVB.50.136
N. Kawashima, J. E. Gubernatis, Loop algorithms for Monte Carlo simulations of quantum spin systems Physical Review Letters. ,vol. 73, pp. 1295- 1298 ,(1994) , 10.1103/PHYSREVLETT.73.1295
Naoki Kawashima, Cluster Algorithms For Anisotropic Quantum Spin Models arXiv: Condensed Matter. ,(1995) , 10.1007/BF02189228