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Implementation of the Linear Method for the optimization of Jastrow-Feenberg and Backflow Correlations

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arxiv 1412.0490 v2 pith:UYNUDCR3 submitted 2014-12-01 cond-mat.str-el

M. Motta , G. Bertaina , D. E. Galli , E. Vitali This is my paper
classification cond-mat.str-el
keywords backflowcorrelationsimplementationjastrow-feenberglinearmethodoptimizationperforming
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We present a fully detailed and highly performing implementation of the Linear Method [J. Toulouse and C. J. Umrigar (2007)] to optimize Jastrow-Feenberg and Backflow Correlations in many-body wave-functions, which are widely used in condensed matter physics. We show that it is possible to implement such optimization scheme performing analytical derivatives of the wave-function with respect to the variational parameters achieving the best possible complexity O(N^3) in the number of particles N.

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