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arXiv · 1305.1995

Stochastic extension of the Lanczos method for nuclear shell-model calculations with variational Monte Carlo method

Noritaka Shimizu·Takahiro Mizusaki·Kazunari Kaneko
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Abstract

We propose a new variational Monte Carlo (VMC) approach based on the Krylov subspace for large-scale shell-model calculations. A random walker in the VMC is formulated with the $M$-scheme representation, and samples a small number of configurations from a whole Hilbert space stochastically. This VMC framework is demonstrated in the shell-model calculations of $^{48}$Cr and $^{60}$Zn, and we discuss its relation to a small number of Lanczos iterations. By utilizing the wave function obtained by the conventional particle-hole-excitation truncation as an initial state, this VMC approach provides us with a sequence of systematically improved results.

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Noritaka Shimizu, Takahiro Mizusaki, Kazunari Kaneko. 2013-05-09. Stochastic extension of the Lanczos method for nuclear shell-model calculations with variational Monte Carlo method. https://doi.org/10.1016/j.physletb.2013.05.021

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