2015/12/09 by T. Duguet, A. Signoracci, Duguet, T. +1 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #nucl-th #quant-ph
paper · pdf · doi:10.48550/arxiv.1512.02878
45 pages, 16 figures
arxiv created 2015/12/09 · arxiv updated 2015/12/10
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, J. Phys. G: Nucl. Part. Phys. 42 (2015) 025107]. 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.