FK-DLR properties of a quantum multi-type Bose-gas with a repulsive interaction

Autor(es)

Suhov, Y. ^{[1, 2, 3]} ; Stuhl, I. ^{[4, 5]}

Afiliação do(s) autor(es)

^[1] RAS, IITP, Moscow 117901 - Russia

^[2] Univ Cambridge, DPMMS, Stat Lab, Cambridge CB2 1TN - England

^[3] Univ Sao Paulo, Dept Stat, IME, BR-05508 Sao Paulo - Brazil

^[4] Univ Debrecen, Debrecen - Hungary

^[5] Univ Sao Paulo, IME, BR-05508 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Physics; v. 55, n. 8 AUG 2014.
• Citações Web of Science: 0

Resumo

The paper extends earlier results from Suhov and Kelbert {[}{''}FK-DLR states of a quantum Bose-gas with a hardcore interaction,{''} arXiv: 1304.0782] and Suhov et al. {[}{''}Shift-invariance for FK-DLR states of a 2D quantum Bose-gas,{''} arXiv: 1304.4177] about infinite-volume quantum bosonic states (FK-DLR states) to the case of multitype particles with non-negative interactions. (An example is a quantum Widom-Rowlinson model.) Following the strategy from Suhov and Kelbert and Suhov et al., we establish that, for the values of fugacity z. (0, 1) and inverse temperature beta > 0, finite-volume Gibbs states form a compact family in the thermodynamic limit. Next, in dimension two we show that any limit-point state (an FK-DLR state in the terminology adopted in Suhov and Kelbert and Suhov et al.) is translation-invariant. (C) 2014 AIP Publishing LLC. (AU)

• Processo FAPESP: 11/51845-5 - Loopos analíticos, finitos e quasi-grupos
• Beneficiário: Izabella Stuhl
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 11/20133-0 - Ausência de quebra de simetria contínua em sistemas quânticos bidimensionais
• Beneficiário: Anatoli Iambartsev
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional