Transcorrelated coupled cluster methods. II. Molecular systems
arXiv:2303.12903 · doi:10.1063/5.0151412
Abstract
We demonstrate the accuracy of ground-state energies of the transcorrelated Hamiltonian, employing sophisticated Jastrow factors obtained from variational Monte Carlo, together with the coupled cluster and distinguishable cluster methods at the level of singles and doubles excitations. Our results show that already with the cc-pVTZ basis the transcorrelated distinguishable cluster method gets close to complete basis limit and near full configuration interaction quality values for relative energies of over thirty atoms and molecules. To gauge the performance in different correlation regimes we also investigate the breaking of the nitrogen molecule with transcorrelated coupled cluster methods. Numerical evidence is presented to further justify an efficient way to incorporate the major effects coming from the three-body integrals without explicitly introducing them into the amplitude equations.
arXiv commentpeer-reviewed and accepted manuscript (J. Chem. Phys.)
References in corpus (23)
- Recent developments in the PySCF program package
- Jastrow correlation factor for atoms, molecules, and solids
- Variational and Diffusion Quantum Monte Carlo Calculations with the CASINO Code
- The distinguishable cluster approximation
- A canonical transformation theory from extended normal ordering
- Monte Carlo energy and variance minimization techniques for optimizing many-body wave functions
- Spectroscopic accuracy directly from quantum chemistry: application to ground and excited states of beryllium dimer
- Quantum simulation of electronic structure with a transcorrelated Hamiltonian: improved accuracy with a smaller footprint on the quantum computer
- Compact numerical solutions to the two-dimensional repulsive Hubbard model obtained via non-unitary similarity transformations
- Similarity transformation of the electronic Schrödinger equation via Jastrow factorisation
- Towards efficient and accurate \emph{ab initio} solutions to periodic systems via transcorrelation and coupled cluster theory
- Transcorrelated Density Matrix Renormalization Group
- Exploring non-linear correlators on AGP
- Lie Algebraic Similarity Transformed Hamiltonians for Lattice Model Systems
- Accelerating the convergence of exact diagonalization with the transcorrelated method: Quantum gas in one dimension with contact interactions
- Explicitly correlated electronic structure calculations with transcorrelated matrix product operators
- Assessment of Multireference Approaches to Explicitly Correlated Full Configuration Interaction Quantum Monte Carlo
- On the distinguishable cluster approximation for triple excitations
- A new form of transcorrelated Hamiltonian inspired by range-separated DFT
- Extension of selected configuration interaction for transcorrelated methods
- Iterative diagonalization of the non-Hermitian transcorrelated Hamiltonian using a plane-wave basis set: Application to -electron systems with deep core states
- TC++: First-principles calculation code for solids using the transcorrelated method
- Perturbation Calculation of the Uniform Electron Gas with a Transcorrelated Hamiltonian
Cited by in corpus (8)
- Optimizing Jastrow factors for the transcorrelated method
- xTC: An efficient treatment of three-body interactions in transcorrelated methods
- Orbital optimisation in xTC transcorrelated methods
- Towards Efficient Quantum Computing for Quantum Chemistry: Reducing Circuit Complexity with Transcorrelated and Adaptive Ansatz Techniques
- Compactification of Determinant Expansions via Transcorrelation
- Transcorrelated Theory with Pseudopotentials
- Non-iterative Triples for Transcorrelated Coupled Cluster Theory
- Two Determinant Distinguishable Cluster