| Full text | |
| Author(s): |
Moller, Natalia S.
[1, 2, 3]
;
dos Santos, F. Ednilson A.
[4]
;
Bagnato, Vanderlei S.
[5, 6]
;
Pelster, Axel
[2, 3]
Total Authors: 4
|
| Affiliation: | [1] Univ Fed Minas Gerais, Dept Fis, BR-31270901 Belo Horizonte, MG - Brazil
[2] Tech Univ Kaiserslautern, Phys Dept, D-67663 Kaiserslautern - Germany
[3] Tech Univ Kaiserslautern, Res Ctr Optimas, D-67663 Kaiserslautern - Germany
[4] Univ Fed Sao Carlos, Dept Fis, BR-13565905 Sao Carlos, SP - Brazil
[5] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560550 Sao Carlos, SP - Brazil
[6] Texas A&M, Hagler Inst Adv Studies, College Stn, TX 77843 - USA
Total Affiliations: 6
|
| Document type: | Journal article |
| Source: | NEW JOURNAL OF PHYSICS; v. 22, n. 6 JUN 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Here we describe a weakly interacting Bose gas on a curved smooth manifold, which is embedded in the three-dimensional Euclidean space. To this end we start by considering a harmonic trap in the normal direction of the manifold, which confines the three-dimensional Bose gas in the vicinity of its surface. Following the notion of dimensional reduction as outlined in {[}L Salasnichet al, Phys. Rev. A65, 043614 (2002)], we assume a large enough trap frequency so that the normal degree of freedom of the condensate wave function can be approximately integrated out. In this way we obtain an effective condensate wave function on the quasi-two-dimensional surface of the curved manifold, where the thickness of the cloud is determined self-consistently. For the particular case when the manifold is a sphere, our equilibrium results show how the chemical potential and the thickness of the cloud increase with the interaction strength. Furthermore, we determine within a linear stability analysis the low-lying collective excitations together with their eigenfrequencies, which turn out to reveal an instability for attractive interactions. (AU) | |
| 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 |