| Full text | |
| Author(s): |
Bereta, Salvio Jacob
[1]
;
Madeira, Lucas
[1]
;
Bagnato, Vanderlei S.
[1]
;
Caracanhas, Monica A.
[1]
Total Authors: 4
|
| Affiliation: | [1] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560550 Sao Carlos, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | American Journal of Physics; v. 87, n. 11, p. 924-934, NOV 2019. |
| Web of Science Citations: | 1 |
| Abstract | |
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) | |
| FAPESP's process: | 18/09191-7 - Vortices and turbulence in strongly interacting quantum fluids and their mixtures |
| Grantee: | Lucas Madeira |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 13/07276-1 - CEPOF - Optics and Photonic Research Center |
| Grantee: | Vanderlei Salvador Bagnato |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |