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arXiv · 1201.5749

New variational Monte Carlo method with an energy variance extrapolation for large-scale shell-model calculations

Takahiro Mizusaki·Noritaka Shimizu
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Abstract

We propose a new variational Monte Carlo (VMC) method with an energy variance extrapolation for large-scale shell-model calculations. This variational Monte Carlo is a stochastic optimization method with a projected correlated condensed pair state as a trial wave function, and is formulated with the M-scheme representation of projection operators, the Pfaffian and the Markov-chain Monte Carlo (MCMC). Using this method, we can stochastically calculate approximated yrast energies and electro-magnetic transition strengths. Furthermore, by combining this VMC method with energy variance extrapolation, we can estimate exact shell-model energies.

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Takahiro Mizusaki, Noritaka Shimizu. 2012-01-27. New variational Monte Carlo method with an energy variance extrapolation for large-scale shell-model calculations. https://doi.org/10.1103/physrevc.85.021301

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