2017/03/31 by Andreas Deuchert · 3 citations
Mathematics · Physics and Astronomy · #Bound state #Boundary value problem #Cold Atom Physics and Bose-Einstein Condensates #Energy (signal processing) #Infinity #Measure (data warehouse) #Quantum many-body systems #Spectral Theory in Mathematical Physics #Upper and lower bounds #cond-mat.quant-gas #cond-mat.supr-con #math-ph #math.AP #math.MP
paper · pdf · doi:10.1063/1.4996580
published in Journal of Mathematical Physics 58(8) (American Institute of Physics) · 32 pages
openalex created_date 2017/04/07 · arxiv created 2017/07/28 · openalex publication_date 2017/08/01 · arxiv updated 2017/08/03 · openalex updated_date 2026/08/05
We consider a many-body system of fermionic atoms interacting via a local pair potential and subject to an external potential within the framework of Bardeen-Cooper-Schrieffer (BCS) theory. We measure the free energy of the whole sample with respect to the free energy of a reference state which allows us to define a BCS functional with boundary conditions at infinity. Our main result is a lower bound for this energy functional in terms of expressions that typically appear in Ginzburg-Landau functionals.