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New and Practical Formulation for Overlaps of Bogoliubov Vacua

Carlsson, B. G. and Rotureau, J. LU (2021) In Physical Review Letters 126(17).
Abstract

In this Letter, we present a new expression for the overlaps of wave functions in Hartree-Fock-Bogoliubov based theories. Starting from the Pfaffian formula by Bertsch et al. [1], 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 nonorthogonal many-body basis states.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
126
issue
17
article number
172501
publisher
American Physical Society
external identifiers
  • pmid:33988438
  • scopus:85105645804
ISSN
0031-9007
DOI
10.1103/PhysRevLett.126.172501
language
English
LU publication?
yes
id
044efe61-fc09-45b4-854d-1099846e5626
date added to LUP
2021-06-09 16:07:33
date last changed
2024-04-20 07:17:22
@article{044efe61-fc09-45b4-854d-1099846e5626,
  abstract     = {{<p>In this Letter, we present a new expression for the overlaps of wave functions in Hartree-Fock-Bogoliubov based theories. Starting from the Pfaffian formula by Bertsch et al. [1], 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 nonorthogonal many-body basis states.</p>}},
  author       = {{Carlsson, B. G. and Rotureau, J.}},
  issn         = {{0031-9007}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{17}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Letters}},
  title        = {{New and Practical Formulation for Overlaps of Bogoliubov Vacua}},
  url          = {{http://dx.doi.org/10.1103/PhysRevLett.126.172501}},
  doi          = {{10.1103/PhysRevLett.126.172501}},
  volume       = {{126}},
  year         = {{2021}},
}