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

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.

5 pages, 1 figure

References in corpus (8)

• Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Collectivity in the light Xenon isotopes: A shell model study
• Novel Extrapolation Method in the Monte Carlo Shell Model
• Extrapolation Method for the No-Core Shell Model
• Solution of large scale nuclear structure problems by wave function factorization
• Density Matrix Renormalization Group study of ${}^{48}$Cr and ${}^{56}$Ni
• Precise estimation of shell model energy by second order extrapolation method

Cited by in corpus (10)

• Variational approach with the superposition of the symmetry-restored quasi-particle vacua for nuclear shell-model calculations
• Variational procedure for nuclear shell-model calculations and energy-variance extrapolation
• Double-step truncation procedure for large-scale shell-model calculations
• Variational Monte Carlo method for shell-model calculations in odd-mass nuclei and restoration of symmetry
• $SO(3)$ quadratures in angular-momentum projection
• Ground State Calculations of the Confined Molecular Ions H2+ and HeH++ Using Variational Monte Carlo Method
• Stochastic extension of the Lanczos method for nuclear shell-model calculations with variational Monte Carlo method
• Effect of residual many-body forces due to the evolution in the in-medium similarity renormalization group method
• Symmetry projection to coupled-cluster singles and doubles wave function through the Monte Carlo method
• Many-body calculations with Deuteron based single-particle bases and their associated natural orbits