Monte Carlo simulations with indefinite and complex-valued measures
Abstract
A method is presented to tackle the sign problem in the simulations of systems having indefinite or complex-valued measures. In general, this approach is shown to yield statistical errors smaller than the crude Monte Carlo using absolute values of the original measures. Exactly solvable, one-dimensional Ising models with complex temperature and complex activity illustrate the considerable improvements and the workability of this method even when the crude one fails.
- Publication:
-
Physical Review E
- Pub Date:
- May 1994
- DOI:
- 10.1103/PhysRevE.49.3855
- arXiv:
- arXiv:hep-lat/9311072
- Bibcode:
- 1994PhRvE..49.3855K
- Keywords:
-
- 05.30.-d;
- 02.50.-r;
- 73.40.Gk;
- Quantum statistical mechanics;
- Probability theory stochastic processes and statistics;
- Tunneling;
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- 10 A4 pages, postscript (140K), UM-P-93-70