Symmetry projection to coupled-cluster singles and doubles wave function through the Monte Carlo method
arXiv:2103.00120 · doi:10.1103/PhysRevC.104.L031305
Abstract
A new method for calculating the symmetry-projected energy of coupled-cluster singles and doubles (CCSD) wave function through the Monte Carlo method is proposed. We present benchmark calculations in considering the three-level Lipkin model which is a simple and minimal model with two phases: spherical and deformed ones. It is demonstrated that this new method gives good ground state energy and low-lying spectra.
arXiv comment6 pages, 4 figures, submitted to PRC
References in corpus (16)
- A Guided Tour of Ab Initio Nuclear Many-Body Theory
- Medium-mass nuclei from chiral nucleon-nucleon interactions
- Coupled cluster calculations of ground and excited states of nuclei
- Pfaffian pairing wave functions in electronic structure quantum Monte Carlo
- Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
- Projected Coupled Cluster Theory
- Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
- Particle-number projected Bogoliubov coupled cluster theory. Application to the pairing Hamiltonian
- RPA approach to rotational symmetry restoration in a three-level Lipkin model
- Merging symmetry projection methods with coupled cluster theory: Lessons from the Lipkin model Hamiltonian
- Projected Hartree-Fock as a Polynomial of Particle-Hole Excitations and Its Combination With Variational Coupled Cluster Theory
- Projected Coupled Cluster Theory: Optimization of cluster amplitudes in the presence of symmetry projection
- A route to improving RPA excitation energies through its connection to equation-of-motion coupled cluster theory
- New variational Monte Carlo method with an energy variance extrapolation for large-scale shell-model calculations
- Variational theory combining number-projected BCS and coupled-cluster doubles
- Variational Monte Carlo method for shell-model calculations in odd-mass nuclei and restoration of symmetry