A Constrained-Path Quantum Monte-Carlo Approach for the Nuclear Shell Model

Abstract

A new Quantum Monte-Carlo (QMC) approach is proposed to investigate low-lying states of nuclei within the shell model. The formalism relies on a variational symmetry-restored wave-function to guide the underlying Brownian motion. Sign/phase problems that usually plague QMC fermionic simulations are controlled by constraining stochastic paths through a fixed-node like approximation. Exploratory results in the sd and pf valence spaces with realistic effective interactions are presented. They prove the ability of the scheme to yield nearly exact yrast spectroscopies for both even- and odd-mass nuclei.

5 pages, 2 figures

References in corpus (4)

• Projected Hartree-Fock Theory
• Quantum Monte Carlo calculations of electroweak transition matrix elements in A = 6,7 nuclei
• Crossover from vibrational to rotational collectivity in heavy nuclei in the shell-model Monte Carlo approach
• Exotic spin, charge and pairing correlations of the two-dimensional doped Hubbard model: a symmetry entangled mean-field approach

Cited by in corpus (6)

• Quantum Monte Carlo methods for nuclear physics
• Symmetry-projected Wave Functions in Quantum Monte Carlo Calculations
• Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
• Many-body computations by stochastic sampling in Hartree-Fock-Bogoliubov space
• Phaseless quantum Monte-Carlo approach to strongly correlated superconductors with stochastic Hartree-Fock-Bogoliubov wavefunctions
• Constrained-Path Quantum Monte-Carlo Approach for Non-Yrast States Within the Shell Model