Auxiliary-field Monte Carlo for Quantum Spin and Boson Systems

Details Auxiliary-field Monte Carlo for Quantum Spin and Boson Systems Auxiliary-field Monte Carlo for Quantum Spin and Boson Systems

1999-05-18

arxiv.org/abs/cond-mat/9905247v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 4 figures

Scientific paper

10.1103/PhysRevB.61.9607

We describe a new algorithm for the numerical simulation of quantum spin and boson systems. The method is based on the Trotter decomposition in imaginary time and a decoupling by auxiliary Ising spins. It can be applied, in principle, to arbitrary (random) spin systems, however in general it suffers from the ``minus-sign problem''. This problem is absent in the case of the Ising model in a transverse field in arbitrary dimensions and geometries. We show test results for the spin--1/2 XY model, the one--dimensional transverse Ising model with disorder, and the phase transition induced by a transverse field in the two-dimensional Ising model.

Affiliated with

Also associated with

No associations

Rating

Auxiliary-field Monte Carlo for Quantum Spin and Boson Systems 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 Auxiliary-field Monte Carlo for Quantum Spin and Boson Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Auxiliary-field Monte Carlo for Quantum Spin and Boson Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-18289