Numerical sign problem: Difference between revisions

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* Stochastic quantization. The sum over configurations is obtained as the equilibrium distribution of states explored by a complex [[Langevin equation]]. So far, the algorithm has been found to evade the sign problem in test models that have a sign problem but do not involve fermions.<ref>G. Aarts, "Can stochastic quantization evade the sign problem? The relativistic Bose gas at finite chemical potential", [http://prl.aps.org/abstract/PRL/v102/i13/e131601 Phys. Rev. Lett. 102, 131601 (2009)], [http://arxiv.org/abs/0810.2089 arXiv:0810.2089]</ref>

* Fixed Nodenode method. One fixes the ___location of nodes (zeros) of the multiparticle wavefunction, and uses Monte-Carlo methods to obtain an estimate of the energy of the ground state, subject to that constraint.<ref>H. J. M. van Bemmel et al, "Fixed-node quantum Monte Carlo method for lattice fermions", [http://prl.aps.org/abstract/PRL/v72/i15/p2442_1 Phys. Rev. Lett. 72, 2442–2445 (1994)]</ref>

==References==