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

2 Pith papers cite this work. Polarity classification is still indexing.

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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.

years

2026 2

verdicts

UNVERDICTED 2

representative citing papers

Score-Driven Rating System for Sports

cs.LG · 2026-04-10 · unverdicted · novelty 6.0

A generalization of Elo ratings updates player strengths via the score (log-likelihood gradient) for varied game outcomes, with derived properties of zero expected value, summation to zero, and reversion to unobserved true skills.

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