Disordered Bose-Einstein condensate in hard walls trap

Author(s)

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

Affiliation

^[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

• Document type: Journal article
• Source: Journal of Physics A-Mathematical and Theoretical; v. 52, n. 44 NOV 1 2019.
• Web of Science Citations: 0

Abstract

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)

• FAPESP's process: 13/01907-0 - São Paulo Research and Analysis Center
• Grantee: Sergio Ferraz Novaes
• Support Opportunities: Research Projects - Thematic Grants