Embedding Paired Free-Fermion Gaussian States into Gutzwiller-Projected Bardeen--Cooper--Schrieffer Wave Functions

Abstract:Gutzwiller-projected Bardeen--Cooper--Schrieffer (BCS) wave functions of Abrikosov fermions are widely used to describe quantum many-body states. Taking the one-dimensional transverse-field Ising model as an example, we exactly embed any even-parity spinless fermionic Gaussian state representable as a paired exponential in the chosen particle basis into a projected BCS state of spinful Abrikosov fermions. The construction provides controlled initial states for variational Monte Carlo studies of nonintegrable models.

2 pages, 1 figure. All codes and data used in this manuscript are available at this https URL

Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2608.18168 [cond-mat.stat-mech]

(or arXiv:2608.18168v1 [cond-mat.stat-mech] for this version)

https://doi.org/10.48550/arXiv.2608.18168 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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