Scaling Properties of the Green's Function Quantum Monte Carlo Algorithm for Few-Fermion Systems

B. L. G. Bakker, M. I. Polikarpov, A. I. Veselov

Malvin H. Kalos, Shiwei Zhang

Kevin E. Schmidt

X. Y. Zhang, Robert L. Sugar, R. T. Scalettar

Green's-function updating is introduced in the recently developed quantum Monte Carlo algorithm for constrained fermions, thus making the computing time scale in the same way as the ordinary quantum Monte Carlo algorithm. Stabilization routines are also implemented, with limited success in lowering down the simulation temperature.

Malvin H. Kalos

David M. Arnow, Malvin H. Kalos, Michael A. Lee +1 more

The Green’s function Monte Carlo method used for obtaining exact solutions to the Schrödinger equation of boson systems is generalized to treat systems of several fermions. We show that when it is possible to select eigenfunctions of the Hamiltonian based on physical symmetries, the GFMC method can be used to yield the lowest energy state of that symmetry. In particular, the lowest totally antisymmetric eigenfunction, the fermion ground state, can be obtained. Calculations on several two- and three-body model problems show the method to be computationally feasible for few-body systems.