Symmetry restoration in Hartree-Fock-Bogoliubov based theories

Phys Rev Lett. 2012 Jan 27;108(4):042505. doi: 10.1103/PhysRevLett.108.042505. Epub 2012 Jan 26.

Abstract

We present a Pfaffian formula for projection and symmetry restoration for wave functions of the general Bogoliubov form, including quasiparticle excited states and linear combinations of them. This solves a long-standing problem in calculating states of good symmetry, arising from the sign ambiguity of the commonly used determinant formula. A simple example is given of projecting a good particle number and angular momentum from a Bogoliubov wave function in the Fock space of a single j-shell.