Decay of Complex-Time Determinantal and Pfaffian Correlation Functionals in Lattices

Autor(es)

Aza, N. J. B. ^[1] ; Bru, J. -B. ^{[2, 3, 4]} ; de Siqueira Pedra, W. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Phys, Rua Matao 1371, Sao Paulo - Brazil

^[2] Ikerbasque, Basque Fdn Sci, E-48011 Bilbao - Spain

^[3] Univ Basque Country, Fac Ciencia & Tecnol, Dept Matemat, Apartado 644, E-48080 Bilbao - Spain

^[4] BCAM, Mazarredo 14, Bilbao 48009 - Spain

• Tipo de documento: Artigo Científico
• Fonte: Communications in Mathematical Physics; v. 360, n. 2, p. 715-726, JUN 2018.
• Citações Web of Science: 0

Resumo

We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903-931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time correlations. Our proof uses the analyticity of correlation functions via the Hadamard three-line theorem. We show that the dynamical localization for the one-particle system yields the dynamical localization for the many-point fermionic correlation functions, with respect to the Hausdorff distance in the determinantal case. In Sims and Warzel (2016), a stronger notion of decay for many-particle configurations was used but only at dimension one and for real times. Considering determinantal and Pfaffian correlation functionals for complex times is important in the study of weakly interacting fermions. (AU)

• Processo FAPESP: 16/02503-8 - Comportamento macroscópico de sistemas de férmions não relativísticos interagentes
• Beneficiário: Walter Alberto de Siqueira Pedra
• Linha de fomento: Bolsas no Exterior - Pesquisa