Bose-Einstein condensation in spherically symmetric traps

Autor(es)

Bereta, Salvio Jacob ^[1] ; Madeira, Lucas ^[1] ; Bagnato, Vanderlei S. ^[1] ; Caracanhas, Monica A. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560550 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: American Journal of Physics; v. 87, n. 11, p. 924-934, NOV 2019.
• Citações Web of Science: 1

Resumo

We present a pedagogical introduction to Bose-Einstein condensation in traps with spherical symmetry, namely, the spherical box and the thick shell, sometimes called bubble trap. In order to obtain the critical temperature for Bose-Einstein condensation, we describe how to calculate the cumulative state number and density of states in these geometries, using numerical and analytical (semi-classical) approaches. The differences in the results of both methods are a manifestation of Weyl's theorem, i.e., they reveal how the geometry of the trap (boundary condition) affects the number of the eigenstates counted. Using the same calculation procedure, we analyzed the impact of going from three-dimensions to two-dimensions, as we move from a thick shell to a two-dimensional shell. The temperature range we obtained, for the most commonly used atomic species and reasonable confinement volumes, is compatible with current cold atom experiments, which demonstrates that these trapping potentials may be employed in experiments. (AU)

• Processo FAPESP: 18/09191-7 - Vórtices e turbulência em fluidos quânticos fortemente interagentes e suas misturas
• Beneficiário: Lucas Madeira
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 13/07276-1 - CEPOF - Centro de Pesquisa em Óptica e Fotônica
• Beneficiário: Vanderlei Salvador Bagnato
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs