| Texto completo | |
| Autor(es): |
Aza, N. J. B.
[1, 2]
;
Bru, Jean-Bernard
[3, 4, 5]
;
Pedra, Walter de Siqueira
[1, 5]
;
Mussnich, L. C. P. A. M.
[1]
Número total de Autores: 4
|
| Afiliação do(s) autor(es): | [1] Univ Sao Paulo, Inst Fis, Dept Fis Matemat, Rua Matao 1371, BR-05508090 Sao Paulo, SP - Brazil
[2] Univ Los Andes, Fac Ciencias, Dept Fis, Carrera 1 18A-10, AA 4976-12340 Bloque Ip, Bogota - Colombia
[3] Univ Basque Country, Fac Ciencia & Tecnol, Dept Matemat, Apartado 644, Bilbao 48080 - Spain
[4] IKERBASQUE, Basque Fdn Sci, Bilbao 48011 - Spain
[5] BCAM Basque Ctr Appl Math, Mazarredo 14, Bilbao 48009 - Spain
Número total de Afiliações: 5
|
| Tipo de documento: | Artigo Científico |
| Fonte: | REVIEWS IN MATHEMATICAL PHYSICS; v. 34, n. 01 FEB 2022. |
| Citações Web of Science: | 0 |
| Resumo | |
We prove that the Gartner-Ellis generating function of probability distributions associated with KMS states of weakly interacting fermions on the lattice can be written as the limit of logarithms of Gaussian Berezin integrals. The covariances of the Gaussian integrals are shown to have a uniform Pfaffian bound and to be summable in general cases of interest, including systems that are not translation invariant. The Berezin integral representation can thus be used to obtain convergent expansions of the generating function in terms of powers of its parameter. The derivation and analysis of the expansions of logarithms of Berezin integrals are the subject of the second part of the present work. Such technical results are also useful, for instance, in the context of quantum information theory, in the computation of relative entropy densities associated with fermionic Gibbs states, and in the theory of quantum normal fluctuations for weakly interacting fermion systems. (AU) | |
| Processo FAPESP: | 17/22340-9 - Métodos construtivos para férmions interagentes com aplicações a teoria microscópica da condutividade e supercondutividade |
| Beneficiário: | Walter Alberto de Siqueira Pedra |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |