Stochastic series expansion method for quantum Ising models with arbitrary interactions

Details Stochastic series expansion method for quantum Ising models with arbitrary interactions Stochastic series expansion method for quantum Ising models with arbitrary interactions

2003-03-28

arxiv.org/abs/cond-mat/0303597v2

Phys. Rev. E 68, 056701 (2003)

Physics

Condensed Matter

Statistical Mechanics

9 pages, 5 figures

Scientific paper

10.1103/PhysRevE.68.056701

A quantum Monte Carlo algorithm for the transverse Ising model with arbitrary short- or long-range interactions is presented. The algorithm is based on sampling the diagonal matrix elements of the power series expansion of the density matrix (stochastic series expansion), and avoids the interaction summations necessary in conventional methods. In the case of long-range interactions, the scaling of the computation time with the system size N is therefore reduced from N^2 to Nln(N). The method is tested on a one-dimensional ferromagnet in a transverse field, with interactions decaying as 1/r^2.

Affiliated with

Also associated with

No associations

Rating

Stochastic series expansion method for quantum Ising models with arbitrary interactions 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 Stochastic series expansion method for quantum Ising models with arbitrary interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stochastic series expansion method for quantum Ising models with arbitrary interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-638683