A new and practical formulation for overlaps of Bogoliubov vacua

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.

arXiv commentAccepted for publication in Phys Rev Lett

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Cited by in corpus (12)

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• Beyond-mean-field approaches for nuclear neutrinoless double beta decay in the standard mechanism
• Matrix product states for Hartree-Fock-Bogoliubov wave functions
• Many-body Majorana braiding without an exponential Hilbert space
• Robust formulation of Wick's theorem for computing matrix elements between Hartree-Fock-Bogoliubov wavefunctions
• Neutrinoless double-$\beta$ decay and double Gamow-Teller transitions
• Autoregressive neural Slater-Jastrow ansatz for variational Monte Carlo simulation
• A Pfaffian formulation for matrix elements of three-body operators in multiple quasi-particle configurations
• Nuclear spectra from low-energy interactions
• Theory of quasiparticle interference in Kitaev quantum spin liquids
• Non-Markovian character and irreversibility of real-time quantum many-body dynamics
• Majorana braiding simulations with projective measurements