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• W2953282634 abstract "We present a new formula to calculate matrix elements of a general unitary operator with respect to Hartree-Fock-Bogoliubov states allowing multiple quasi-particle excitations. The Balian-Br'ezin decomposition of the unitary operator (Il Nuovo Cimento B 64, 37 (1969)) is employed in the derivation. We found that this decomposition is extremely suitable for an application of Fermion coherent state and Grassmann integrals in the quasi-particle basis. The resultant formula is compactly expressed in terms of the Pfaffian, and shows the similar bipartite structure to the formula that we have previously derived in the bare-particles basis (Phys. Lett. B 707, 305 (2012))." @default.
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• W2953282634 date "2013-05-07" @default.
• W2953282634 modified "2023-09-23" @default.
• W2953282634 title "Grassmann integral and Balian-Br'ezin decomposition in Hartree-Fock-Bogoliubov matrix elements" @default.
• W2953282634 cites W1534065249 @default.
• W2953282634 doi "https://doi.org/10.48550/arxiv.1305.1682" @default.
• W2953282634 hasPublicationYear "2013" @default.
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