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Page 1
Transition density matrices of Richardson-Gaudin states.
Johnson PA, Fortin H, Cloutier S, Fecteau CÉ. Johnson PA, et al. J Chem Phys. 2021 Mar 28;154(12):124125. doi: 10.1063/5.0041051. J Chem Phys. 2021. PMID: 33810647
Recently, ground state eigenvectors of the reduced Bardeen-Cooper-Schrieffer (BCS) Hamiltonian, Richardson-Gaudin (RG) states, have been employed as a wavefunction ansatz for strong correlation. ...
Recently, ground state eigenvectors of the reduced Bardeen-Cooper-Schrieffer (BCS) Hamiltonian, Richardson-Gaudin (RG) states, have b …
Richardson-Gaudin states of non-zero seniority: Matrix elements.
Johnson PA. Johnson PA. J Chem Phys. 2025 Apr 7;162(13):134106. doi: 10.1063/5.0257950. J Chem Phys. 2025. PMID: 40177968
As eigenvectors of a model Hamiltonian, Richardson-Gaudin states provide a clear physical picture and allow for systematic improvement via standard single reference approaches. ...
As eigenvectors of a model Hamiltonian, Richardson-Gaudin states provide a clear physical picture and allow for systematic improvemen …
Beyond a Richardson-Gaudin Mean-Field: Slater-Condon Rules and Perturbation Theory.
Johnson PA. Johnson PA. J Phys Chem A. 2024 Jul 25;128(29):6033-6045. doi: 10.1021/acs.jpca.4c02857. Epub 2024 Jul 15. J Phys Chem A. 2024. PMID: 39007410
Richardson-Gaudin states provide a basis of the Hilbert space for strongly correlated electrons. In this study, optimal expressions for the transition density matrix elements between Richardson-Gaudin states are obtained with a cost comparable with the corresponding …
Richardson-Gaudin states provide a basis of the Hilbert space for strongly correlated electrons. In this study, optimal expressions f …
From Gaudin Integrable Models to d-Dimensional Multipoint Conformal Blocks.
Burić I, Lacroix S, Mann JA, Quintavalle L, Schomerus V. Burić I, et al. Phys Rev Lett. 2021 Jan 15;126(2):021602. doi: 10.1103/PhysRevLett.126.021602. Phys Rev Lett. 2021. PMID: 33512177
Our main observation is that conformal blocks for N-point functions may be considered as eigenfunctions of integrable Gaudin Hamiltonians. This provides us with a complete set of differential equations that can be used to evaluate multipoint blocks....
Our main observation is that conformal blocks for N-point functions may be considered as eigenfunctions of integrable Gaudin Hamilton …
Near-exact treatment of seniority-zero ground and excited states with a Richardson-Gaudin mean-field.
Fecteau CÉ, Cloutier S, Moisset JD, Boulay J, Bultinck P, Faribault A, Johnson PA. Fecteau CÉ, et al. J Chem Phys. 2022 May 21;156(19):194103. doi: 10.1063/5.0091338. J Chem Phys. 2022. PMID: 35597662
Eigenvectors of the reduced Bardeen-Cooper-Schrieffer (BCS) Hamiltonian, Richardson-Gaudin (RG) states, are used as a variational wavefunction ansatz for strongly correlated electronic systems. ...
Eigenvectors of the reduced Bardeen-Cooper-Schrieffer (BCS) Hamiltonian, Richardson-Gaudin (RG) states, are used as a variational wav …
Richardson-Gaudin states of non-zero seniority. II. Single-reference treatment of strong correlation.
Johnson PA. Johnson PA. J Chem Phys. 2025 Aug 28;163(8):081101. doi: 10.1063/5.0284864. J Chem Phys. 2025. PMID: 40843991
In this paper, it is demonstrated that single reference methods built from Richardson-Gaudin states yield comparable results at polynomial cost....
In this paper, it is demonstrated that single reference methods built from Richardson-Gaudin states yield comparable results at polyn …
Single Reference Treatment of Strongly Correlated H(4) and H(10) Isomers with Richardson-Gaudin States.
Johnson PA, DePrince AE 3rd. Johnson PA, et al. J Chem Theory Comput. 2023 Nov 28;19(22):8129-8146. doi: 10.1021/acs.jctc.3c00807. Epub 2023 Nov 13. J Chem Theory Comput. 2023. PMID: 37955440
Richardson-Gaudin (RG) states are employed as a variational wave function ansatz for strongly correlated isomers of H(4) and H(10). ...
Richardson-Gaudin (RG) states are employed as a variational wave function ansatz for strongly correlated isomers of H(4) and H(10). . …
Reduced density matrices/static correlation functions of Richardson-Gaudin states without rapidities.
Faribault A, Dimo C, Moisset JD, Johnson PA. Faribault A, et al. J Chem Phys. 2022 Dec 7;157(21):214104. doi: 10.1063/5.0123911. J Chem Phys. 2022. PMID: 36511561
Among this class of wavefunctions, Richardson-Gaudin states stand out as they are eigenvectors of a model Hamiltonian. This provides a clear physical picture, clean expressions for reduced density matrix (RDM) elements, and systematic improvement (with a complete set of ei …
Among this class of wavefunctions, Richardson-Gaudin states stand out as they are eigenvectors of a model Hamiltonian. This provides …
1,855 results