A scattering view of the Bogoliubov-de Gennes equations

Journal Article · Wed Sep 26 00:00:00 EDT 2012 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4755832· OSTI ID:22075583

Simonucci, Stefano; Garberoglio, Giovanni; Taioli, Simone ^[1]

---

1. Department of Physics, University of Camerino, via Madonna delle Carceri 9, 62032 Camerino, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Perugia (Italy)

We advocate the use of the T -matrix of the pair potential to study the properties of ultracold Fermi gases in the mean-field approximation. Our approach does not require renormalization procedures even in the limit of contact interaction, and it provides a rigorous definition of the range of the potential. We also rewrite the Bogoliubov-de Gennes equation for the pairing function as a function of the T-matrix, and use it to investigate finite-range effects on the main thermodynamic observables in a gas of {sup 6}Li atoms at unitarity, calculating the pair potential with ab initio quantum chemical methods.

• OSTI ID: 22075583
• Journal Information: AIP Conference Proceedings, Vol. 1485, Issue 1; Conference: 16. training course in the physics of strongly correlated systems, Vietri sul Mare, Salerno (Italy), 3-14 Oct 2011; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ALGEBRA
APPROXIMATIONS
ATOMS
FERMI GAS
FERMIONS
INTEGRO-DIFFERENTIAL EQUATIONS
LITHIUM 6
MEAN-FIELD THEORY
POTENTIALS
RENORMALIZATION
S MATRIX
SCATTERING
THERMODYNAMICS
UNITARITY