| Texto completo | |
| Autor(es): |
Moller, Natalia S.
[1, 2, 3]
;
dos Santos, F. Ednilson A.
[4]
;
Bagnato, Vanderlei S.
[5, 6]
;
Pelster, Axel
[2, 3]
Número total de Autores: 4
|
| Afiliação do(s) autor(es): | [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
Número total de Afiliações: 6
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NEW JOURNAL OF PHYSICS; v. 22, n. 6 JUN 2020. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| 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 |