Disordered Bose-Einstein condensate in hard walls trap

Autor(es)

Acosta-Diaz, R. ^[1] ; Krein, G. ^[2] ; Saldivar, A. ^[3] ; Svaiter, N. F. ^[3] ; Zarro, C. A. D. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Fed Rio de Janeiro, Inst Fis, BR-21941972 Rio De Janeiro, RJ - Brazil

^[2] Univ Estadual Paulista, Inst Fis Teor, BR-01140070 Sao Paulo, SP - Brazil

^[3] Ctr Brasileiro Pesquisas Fis, Rua Dr Xavier Sigaud 150, BR-22290180 Rio De Janeiro, RJ - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 52, n. 44 NOV 1 2019.
• Citações Web of Science: 0

Resumo

We discuss the effects of quenched disorder in a dilute Bose-Einstein condensate confined in a hard walls trap. Starting from the disordered Gross-Pitaevskii functional, we obtain a representation for the quenched free energy as a series of integer moments of the partition function. Positive and negative disorder-dependent effective coupling constants appear in the integer moments. Going beyond the mean-field approximation, we compute the static two-point correlation functions at first-order in the positive effective coupling constants. We obtain the combined contributions of effects due to boundary conditions and disorder in this weakly disordered condensate. The ground state renormalized density profile of the condensate is presented. We also discuss the appearance of metastable and true ground states for strong disorder, when the effective coupling constants become negative. (AU)

• Processo FAPESP: 13/01907-0 - Centro de Pesquisa e Análise de São Paulo
• Beneficiário: Sergio Ferraz Novaes
• Modalidade de apoio: Auxílio à Pesquisa - Temático