학술논문

A new and practical formulation for overlaps of Bogoliubov vacua
Document Type
Working Paper
Source
Phys. Rev. Lett. 126, 172501 (2021)
Subject
Nuclear Theory
Mathematical Physics
Language
Abstract
In this letter we present a new expression for the overlaps of wavefunctions in Hartree-Fock-Bogoliubov based theories. Starting from the Pfaffian formula by Bertsch et al (Phys. Rev. Lett. 108,042505 (2012)), an exact and computationally stable formula for overlaps is derived. We illustrate the convenience of this new formulation with a numerical application in the context of the particle-number projection method. This new formula allows for substantially increased precision and versatility in chemical, atomic, and nuclear physics applications, particularly for methods dealing with superfluidity, symmetry restoration and uses of non-orthogonal many-body basis states.
Comment: Accepted for publication in Phys Rev Lett