Unbiased estimators in Quantum Monte Carlo methods: application to liquid $^4$He

Details Unbiased estimators in Quantum Monte Carlo methods: application to liquid $^4$He Unbiased estimators in Quantum Monte Carlo methods: application to liquid $^4$He

1995-01-18

arxiv.org/abs/cond-mat/9501078v1

Physics

Condensed Matter

20 pages, RevTex 3.0, 7 figures available upon request to the Authors (FAX or mail)

Scientific paper

10.1103/PhysRevB.52.3654

A Monte Carlo algorithm for computing quantum mechanical expectation values of coordinate operators in many body problems is presented. The algorithm, that relies on the forward walking method, fits naturally in a Green's Function Monte Carlo calculation, i.e., it does not require side walks or a bilinear sampling method. Our method evidences stability regions large enough to accurately sample unbiased pure expectation values. The proposed algorithm yields accurate results when it is applied to test problems as the hydrogen atom and the hydrogen molecule. An excellent description of several properties of a fully many body problem as liquid $^4$He at zero temperature is achieved.

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