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Title: Using full configuration interaction quantum Monte Carlo in a seniority zero space to investigate the correlation energy equivalence of pair coupled cluster doubles and doubly occupied configuration interaction

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4942770· OSTI ID:22660881
;  [1]
  1. Department of Chemistry and Department of Physics and Astronomy, Rice University, Houston, Texas 77005-1892 (United States)

Over the past few years, pair coupled cluster doubles (pCCD) has shown promise for the description of strong correlation. This promise is related to its apparent ability to match results from doubly occupied configuration interaction (DOCI), even though the latter method has exponential computational cost. Here, by modifying the full configuration interaction quantum Monte Carlo algorithm to sample only the seniority zero sector of Hilbert space, we show that the DOCI and pCCD energies are in agreement for a variety of 2D Hubbard models, including for systems well out of reach for conventional configuration interaction algorithms. Our calculations are aided by the sign problem being much reduced in the seniority zero space compared with the full space. We present evidence for this and then discuss the sign problem in terms of the wave function of the system which appears to have a simplified sign structure.

OSTI ID:
22660881
Journal Information:
Journal of Chemical Physics, Vol. 144, Issue 9; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9606
Country of Publication:
United States
Language:
English

References (2)

Unbiased reduced density matrices and electronic properties from full configuration interaction quantum Monte Carlo journal December 2014
Polynomial similarity transformation theory: A smooth interpolation between coupled cluster doubles and projected BCS applied to the reduced BCS Hamiltonian journal March 2016

Cited By (3)

Method for making 2-electron response reduced density matrices approximately N -representable journal February 2018
Pair 2-electron reduced density matrix theory using localized orbitals journal August 2017
Polynomial-product states: A symmetry-projection-based factorization of the full coupled cluster wavefunction in terms of polynomials of double excitations journal April 2019