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Phys. Rev. Lett. 79, 1173–1177 (1997)

Stochastic Gradient Approximation: An Efficient Method to Optimize Many-Body Wave Functions

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A. Harju, B. Barbiellini, S. Siljamäki, and R. M. Nieminen
Laboratory of Physics, Helsinki University of Technology, FIN-02150 Espoo, Finland

G. Ortiz
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801

Received 13 September 1996; published in the issue dated 18 August 1997

A novel, efficient optimization method for physical problems is presented. The method utilizes the noise inherent in stochastic functions. As an application, an algorithm for the variational optimization of quantum many-body wave functions is derived. The numerical results indicate superior performance when compared to traditional techniques.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.79.1173
DOI:
10.1103/PhysRevLett.79.1173
PACS:
02.60.Pn, 31.25.-v, 71.10.-w, 71.60.+z