Work

Monte Carlo methods in the manifold of Hartree–Fock–Bogoliubov wave functions

Year: 2024
Type: article
Abstract: We explore the possibility of implementing random walks in the manifold of Hartree-Fock-Bogoliubov wave functions. The goal is to extend state-of-the-art quantum Monte Carlo approaches, in particular the constrained-path auxiliary-field quantum Monte Carlo technique, to systems where finite pairing order parameters or complex pairing mechanisms, e.g., Fulde-Ferrell-Larkin-Ovchinnikov pairing or triplet pairing, may be expected. Leveraging the flexibility to define a vacuum state tailored to the physical problem, we discuss a method to use imaginary-time evolution of Hartree-Fock-Bogoliubov states to compute ground state correlations, extending beyond situations spanned by current formalisms. Illustrative examples are provided.
Authors: Ettore Vitali, Peter Rosenberg, Shiwei Zhang
Language: English
Open Access status: green
OpenAlex ID: W4403195556
FWCI: 0.289
Cites: 27
Cited by: 2
Related to: 10