We present a fully detailed and highly performing implementation of the Linear Method (Toulouse and 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 .

Implementation of the linear method for the optimization of Jastrow–Feenberg and backflow correlations / Motta, M.; Bertaina, G.; Galli, D. E.; Vitali, E.. - In: COMPUTER PHYSICS COMMUNICATIONS. - ISSN 0010-4655. - 190:(2015), pp. 62-71. [10.1016/j.cpc.2015.01.013]

Implementation of the linear method for the optimization of Jastrow–Feenberg and backflow correlations

Bertaina, G.;
2015

Abstract

We present a fully detailed and highly performing implementation of the Linear Method (Toulouse and 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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11696/60931
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