Generalized Directed Loop Method for Quantum Monte Carlo Simulations

Details Generalized Directed Loop Method for Quantum Monte Carlo Simulations Generalized Directed Loop Method for Quantum Monte Carlo Simulations

2003-08-25

arxiv.org/abs/cond-mat/0308495v3

Phys. Rev. E 71, 036706 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

17 pages, 16 figures; v2 : Modified introduction and section 2, Changed title; v3 : Added section on supplementary strategies;

Scientific paper

10.1103/PhysRevE.71.036706

Efficient quantum Monte Carlo update schemes called directed loops have recently been proposed, which improve the efficiency of simulations of quantum lattice models. We propose to generalize the detailed balance equations at the local level during the loop construction by accounting for the matrix elements of the operators associated with open world-line segments. Using linear programming techniques to solve the generalized equations, we look for optimal construction schemes for directed loops. This also allows for an extension of the directed loop scheme to general lattice models, such as high-spin or bosonic models. The resulting algorithms are bounce-free in larger regions of parameter space than the original directed loop algorithm. The generalized directed loop method is applied to the magnetization process of spin chains in order to compare its efficiency to that of previous directed loop schemes. In contrast to general expectations, we find that minimizing bounces alone does not always lead to more efficient algorithms in terms of autocorrelations of physical observables, because of the non-uniqueness of the bounce-free solutions. We therefore propose different general strategies to further minimize autocorrelations, which can be used as supplementary requirements in any directed loop scheme. We show by calculating autocorrelation times for different observables that such strategies indeed lead to improved efficiency; however we find that the optimal strategy depends not only on the model parameters but also on the observable of interest.

Affiliated with

Also associated with

No associations

Rating

Generalized Directed Loop Method for Quantum Monte Carlo Simulations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Directed Loop Method for Quantum Monte Carlo Simulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Directed Loop Method for Quantum Monte Carlo Simulations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-628779