Boosting quantum Monte Carlo and alleviating sign problem by Gutzwiller projection
Abstract
Here we develop a new scheme of projective quantum MonteCarlo (QMC) simulation combining unbiased zerotemperature (projective) determinant QMC and variational MonteCarlo based on Gutzwiller projection wave function, dubbed as ``Gutzwiller projection QMC''. The numerical results demonstrate that employment of Gutzwiller projection trial wave function with minimum energy strongly speed up the convergence of computational results, thus tremendously reducing computational time in the simulation. More remarkably, we present an example that sign problem is enormously alleviated in the Gutzwiller projection QMC, especially in the regime where sign problem is severe. Hence, we believe that Gutzwiller projection QMC paves a new route to improving the efficiency, and alleviating sign problem in QMC simulation on interacting fermionic systems.
 Publication:

arXiv eprints
 Pub Date:
 March 2023
 DOI:
 10.48550/arXiv.2303.13403
 arXiv:
 arXiv:2303.13403
 Bibcode:
 2023arXiv230313403C
 Keywords:

 Condensed Matter  Strongly Correlated Electrons;
 Condensed Matter  Statistical Mechanics
 EPrint:
 5 pages, 4 figures