New and Practical Formulation for Overlaps of Bogoliubov Vacua
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/044efe61-fc09-45b4-854d-1099846e5626
- author
- Carlsson, B. G. and Rotureau, J. LU
- organization
- publishing date
- 2021-04-26
- 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}}, }