Combining symmetry collective states with coupled-cluster theory: Lessons from the Agassi model Hamiltonian

Hermes, Matthew R.; Dukelsky, Jorge; Scuseria, Gustavo E.

doi:10.1103/physrevc.95.064306

Title: Combining symmetry collective states with coupled-cluster theory: Lessons from the Agassi model Hamiltonian

Journal Article · Thu Jun 01 00:00:00 EDT 2017 · Physical Review C

DOI:https://doi.org/10.1103/physrevc.95.064306· OSTI ID:1536108

Hermes, Matthew R.; Dukelsky, Jorge; Scuseria, Gustavo E.

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Research Organization:: Rice Univ., Houston, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0001474

OSTI ID:: 1536108

Journal Information:: Physical Review C, Vol. 95, Issue 6; ISSN 2469-9985

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

References (35)

Bound states of a many-particle system Coester, F. Nuclear Physics, Vol. 7 https://doi.org/10.1016/0029-5582(58)90280-3	journal	June 1958
On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell‐Type Expansion Using Quantum‐Field Theoretical Methods Čížek, Jiří The Journal of Chemical Physics, Vol. 45, Issue 11 https://doi.org/10.1063/1.1727484	journal	December 1966
Many-fermion theory in expS- (or coupled cluster) form Kümmel, H.; Lührmann, K. H.; Zabolitzky, J. G. Physics Reports, Vol. 36, Issue 1 https://doi.org/10.1016/0370-1573(78)90081-9	journal	February 1978
Many – Body Methods in Chemistry and Physics Shavitt, Isaiah; Bartlett, Rodney J. https://doi.org/10.1017/CBO9780511596834	book	January 2009
Coupled-cluster theory in quantum chemistry Bartlett, Rodney J.; Musiał, Monika Reviews of Modern Physics, Vol. 79, Issue 1 https://doi.org/10.1103/RevModPhys.79.291	journal	February 2007
Coupled-cluster approach to nuclear physics Dean, D. J.; Hjorth-Jensen, M. Physical Review C, Vol. 69, Issue 5 https://doi.org/10.1103/PhysRevC.69.054320	journal	May 2004
Coupled-cluster calculations for valence systems around ${}^{16}O$ Gour, J. R.; Piecuch, P.; Hjorth-Jensen, M. Physical Review C, Vol. 74, Issue 2 https://doi.org/10.1103/PhysRevC.74.024310	journal	August 2006
Coupled-cluster computations of atomic nuclei Hagen, G.; Papenbrock, T.; Hjorth-Jensen, M. Reports on Progress in Physics, Vol. 77, Issue 9 https://doi.org/10.1088/0034-4885/77/9/096302	journal	September 2014
Quasiparticle coupled cluster theory for pairing interactions Henderson, Thomas M.; Scuseria, Gustavo E.; Dukelsky, Jorge Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.054305	journal	May 2014
Symmetry broken and restored coupled-cluster theory: II. Global gauge symmetry and particle number Duguet, T.; Signoracci, A. Journal of Physics G: Nuclear and Particle Physics, Vol. 44, Issue 1 https://doi.org/10.1088/0954-3899/44/1/015103	journal	December 2016
Symmetry broken and restored coupled-cluster theory: I. Rotational symmetry and angular momentum Duguet, T. Journal of Physics G: Nuclear and Particle Physics, Vol. 42, Issue 2 https://doi.org/10.1088/0954-3899/42/2/025107	journal	December 2014
Can Single-Reference Coupled Cluster Theory Describe Static Correlation? Bulik, Ireneusz W.; Henderson, Thomas M.; Scuseria, Gustavo E. Journal of Chemical Theory and Computation, Vol. 11, Issue 7 https://doi.org/10.1021/acs.jctc.5b00422	journal	June 2015
Discussion on The Hartree-Fock Approximation Lykos, P.; Pratt, G. W. Reviews of Modern Physics, Vol. 35, Issue 3 https://doi.org/10.1103/RevModPhys.35.496	journal	July 1963
Ab initio Bogoliubov coupled cluster theory for open-shell nuclei Signoracci, A.; Duguet, T.; Hagen, G. Physical Review C, Vol. 91, Issue 6 https://doi.org/10.1103/PhysRevC.91.064320	journal	June 2015
Symmetry-projected Hartree–Fock–Bogoliubov equations Sheikh, Javid A.; Ring, Peter Nuclear Physics A, Vol. 665, Issue 1-2 https://doi.org/10.1016/S0375-9474(99)00424-8	journal	February 2000
Proper and improper zero energy modes in Hartree-Fock theory and their relevance for symmetry breaking and restoration Cui, Yao; Bulik, Ireneusz W.; Jiménez-Hoyos, Carlos A. The Journal of Chemical Physics, Vol. 139, Issue 15 https://doi.org/10.1063/1.4824905	journal	October 2013
On the use of general symmetry-projected Hartree–Fock–Bogoliubov configurations in variational approaches to the nuclear many-body problem Schmid, K. W. Progress in Particle and Nuclear Physics, Vol. 52, Issue 2 https://doi.org/10.1016/j.ppnp.2004.02.001	journal	April 2004
Projected quasiparticle theory for molecular electronic structure Scuseria, Gustavo E.; Jiménez-Hoyos, Carlos A.; Henderson, Thomas M. The Journal of Chemical Physics, Vol. 135, Issue 12 https://doi.org/10.1063/1.3643338	journal	September 2011
Symmetry Restoration in Hartree-Fock-Bogoliubov Based Theories Bertsch, G. F.; Robledo, L. M. Physical Review Letters, Vol. 108, Issue 4 https://doi.org/10.1103/PhysRevLett.108.042505	journal	January 2012
Projected Hartree–Fock theory Jiménez-Hoyos, Carlos A.; Henderson, Thomas M.; Tsuchimochi, Takashi The Journal of Chemical Physics, Vol. 136, Issue 16 https://doi.org/10.1063/1.4705280	journal	April 2012
Polynomial similarity transformation theory: A smooth interpolation between coupled cluster doubles and projected BCS applied to the reduced BCS Hamiltonian Degroote, Matthias; Henderson, Thomas M.; Zhao, Jinmo Physical Review B, Vol. 93, Issue 12 https://doi.org/10.1103/PhysRevB.93.125124	journal	March 2016
Structure of the number-projected BCS wave function Dukelsky, J.; Pittel, S.; Esebbag, C. Physical Review C, Vol. 93, Issue 3 https://doi.org/10.1103/PhysRevC.93.034313	journal	March 2016
Projected Hartree-Fock theory as a polynomial of particle-hole excitations and its combination with variational coupled cluster theory Qiu, Yiheng; Henderson, Thomas M.; Scuseria, Gustavo E. The Journal of Chemical Physics, Vol. 146, Issue 18 https://doi.org/10.1063/1.4983065	journal	May 2017
Merging symmetry projection methods with coupled cluster theory: Lessons from the Lipkin model Hamiltonian Wahlen-Strothman, Jacob M.; Henderson, Thomas M.; Hermes, Matthew R. The Journal of Chemical Physics, Vol. 146, Issue 5 https://doi.org/10.1063/1.4974989	journal	February 2017
Validity of many-body approximation methods for a solvable model Meshkov, N.; Glick, A. J.; Lipkin, H. J. Nuclear Physics, Vol. 62, Issue 2 https://doi.org/10.1016/0029-5582(65)90863-1	journal	February 1965
Validity of many-body approximation methods for a solvable model Glick, A. J.; Lipkin, H. J.; Meshkov, N. Nuclear Physics, Vol. 62, Issue 2 https://doi.org/10.1016/0029-5582(65)90864-3	journal	February 1965
Validity of the BCS and RPA approximations in the pairing-plus-monopole solvable model Agassi, Dan Nuclear Physics A, Vol. 116, Issue 1 https://doi.org/10.1016/0375-9474(68)90482-X	journal	July 1968
Random-phase approximation and broken symmetry Davis, E. D.; Heiss, W. D. Journal of Physics G: Nuclear Physics, Vol. 12, Issue 9 https://doi.org/10.1088/0305-4616/12/9/006	journal	September 1986
A study of some approximations of the pairing force Högaasen-Feldman, J. Nuclear Physics, Vol. 28, Issue 1 https://doi.org/10.1016/0029-5582(61)91050-1	journal	November 1961
The Usefulness of Exponential Wave Function Expansions Employing One- and Two-Body Cluster Operators in Electronic Structure Theory: The Extended and Generalized Coupled-Cluster Methods Fan, Peng-Dong; Piecuch, Piotr Advances in Quantum Chemistry https://doi.org/10.1016/S0065-3276(06)51001-9	journal	December 2006
Communication: Projected Hartree Fock theory as a polynomial similarity transformation theory of single excitations Qiu, Yiheng; Henderson, Thomas M.; Scuseria, Gustavo E. The Journal of Chemical Physics, Vol. 145, Issue 11 https://doi.org/10.1063/1.4963082	journal	September 2016
Pairing in the limit of a large number of particles Richardson, R. W. Journal of Mathematical Physics, Vol. 18, Issue 9 https://doi.org/10.1063/1.523493	journal	September 1977
Large-N limit of the exactly solvable BCS model: analytics versus numerics Román, J. M.; Sierra, G.; Dukelsky, J. Nuclear Physics B, Vol. 634, Issue 3 https://doi.org/10.1016/S0550-3213(02)00317-6	journal	July 2002
Benchmark variational coupled cluster doubles results Van Voorhis, Troy; Head-Gordon, Martin The Journal of Chemical Physics, Vol. 113, Issue 20 https://doi.org/10.1063/1.1319643	journal	November 2000
Boson mappings for schematic nuclear models with the symmetry of SO(5) Klein, Abraham; Cohen, Thomas D.; Li, Ching-tej Annals of Physics, Vol. 141, Issue 2 https://doi.org/10.1016/0003-4916(82)90294-9	journal	July 1982

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