Symmetry broken and restored coupled-cluster theory: II. Global gauge symmetry and particle number

* Corresponding author
Abstract : We have recently extended many-body perturbation theory and coupled-cluster theory performed on top of a Slater determinant breaking rotational symmetry to allow for the restoration of the angular momentum at any truncation order (T. Duguet, $\it J. Phys. G: Nucl. Part. Phys.$ 42, 025107 (2015). Following a similar route, we presently extend Bogoliubov many-body perturbation theory and Bogoliubov coupled cluster theory performed on top of a Bogoliubov reference state breaking global gauge symmetry to allow for the restoration of the particle number at any truncation order. Eventually, formalisms can be merged to handle $SU(2)$ and $U(1)$ symmetries at the same time. Several further extensions of the newly proposed many-body formalisms can be foreseen in the mid-term future. The long-term goal relates to the $ab\ initio$ description of near-degenerate finite quantum systems with an open-shell character.
Keywords :
Document type :
Journal articles
Domain :

Cited literature [15 references]

https://hal-cea.archives-ouvertes.fr/cea-01511225
Contributor : Valerie Poyeton <>
Submitted on : Thursday, April 20, 2017 - 3:35:09 PM
Last modification on : Monday, February 10, 2020 - 6:12:46 PM
Long-term archiving on: : Friday, July 21, 2017 - 1:36:37 PM

File

1512.02878.pdf
Files produced by the author(s)

Citation

Thomas Duguet, A. Signoracci. Symmetry broken and restored coupled-cluster theory: II. Global gauge symmetry and particle number. Journal of Physics G: Nuclear and Particle Physics, IOP Publishing, 2017, 44, pp.015103. ⟨10.1088/0954-3899/44/1/015103⟩. ⟨cea-01511225⟩

Record views