Correlating the Antisymmetrized Geminal Power Wave Function

Abstract

Strong pairing correlations are responsible for superconductivity and off-diagonal long range order in the two-particle density matrix. The antisymmetrized geminal power wave function was championed many years ago as the simplest model that can provide a reasonable qualitative description for these correlations without breaking number symmetry. The fact remains, however, that the antisymmetrized geminal power is not generally quantitatively accurate in all correlation regimes. In this work, we discuss how we might use this wave function as a reference state for a more sophisticated correlation technique such as configuration interaction, coupled cluster theory, or the random phase approximation.

References in corpus (9)

• The Ground State Correlation Energy of the Random Phase Approximation from a Ring Coupled Cluster Doubles Approach
• Exact Parameterization of Fermionic Wave Functions via Unitary Coupled Cluster Theory
• Correlation energy expressions from the adiabatic-connection fluctuation-dissipation theorem approach
• Quasiparticle Coupled Cluster Theory for Pairing Interactions
• An exactly size consistent geminal power via Jastrow factor networks in a local one particle basis
• Symmetry broken and restored coupled-cluster theory I. Rotational symmetry and angular momentum
• Projected Hartree Fock Theory as a Polynomial Similarity Transformation Theory of Single Excitations
• Combining symmetry breaking and restoration with configuration interaction: a highly accurate many-body scheme applied to the pairing Hamiltonian
• Spin-Projected Generalized Hartree-Fock as a Polynomial of Particle-Hole Excitations

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• Reduced density matrix functional theory from an ab initio seniority-zero wave function: Exact and approximate formulations along adiabatic connection paths
• Robust formulation of Wick's theorem for computing matrix elements between Hartree-Fock-Bogoliubov wavefunctions
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• Exploring Spin AGP Ansatze for Strongly Correlated Spin Systems
• State preparation of AGP on a quantum computer without number projection
• Variational theory combining number-projected BCS and coupled-cluster doubles
• A Pseudo-BCS Wavefunction from Density Matrix Decomposition:Application in Auxiliary-Field Quantum Monte Carlo
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• Bridging Quantum Computing and Nuclear Structure: Atomic Nuclei on a Trapped-Ion Quantum Computer
• Seniority-zero Linear Canonical Transformation Theory
• Thermal coupled cluster theory for SU(2) systems
• Near-exact treatment of seniority-zero ground and excited states with a Richardson-Gaudin mean-field
• Transition density matrices of Richardson-Gaudin states
• Symmetry-Projected Spin-AGP Methods Applied to Spin Systems