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We extend our low-scaling variational Monte Carlo (VMC) algorithm to optimizethe symmetry projected Jastrow mean field (SJMF) wavefunctions. Thesewavefunctions consist of a symmetry-projected product of a Jastrow and ageneral broken-symmetry mean field reference. Examples include Jastrowantisymmetrized geminal power (JAGP), Jastrow-Pfaffians, and resonating valencebond (RVB) states among others, all of which can be treated with our algorithm.We will demonstrate using benchmark systems including the nitrogen molecule, achain of hydrogen atoms, and the 2-D Hubbard model that a significant amount ofcorrelation can be obtained by optimizing the energy of the SJMF wavefunction.This can be achieved at a relatively small cost when multiple symmetriesincluding spin, particle number, and complex conjugation are simultaneouslybroken and projected. We also show that reduced density matrices can becalculated using the optimized wavefunctions, which allows us to calculateother observables such as correlation functions and will enable us to embed theVMC algorithm in a complete active space self-consistent field (CASSCF)calculation.

Symmetry projected Jastrow mean field wavefunction in variational Monte Carlo