Descrição
In this project is presented a semi-analytical solution to the density profile of a Bose-Einstein condensate (BEC) with dipolar interaction in a quasi-2D shell potential. This solution will allow us to determine each term that compose the system total energy, and will help to understand the cloud collapse. There theoretical models for purely 2D shell where the cloud does not collapse even for high dipole interaction. (1) However, we verified numerically that for quasi 2D shell the BEC dipolar cloud can collapse when the ratio of the dipolar interaction and the contact interaction parameters are order of 1. The dipolar energy increases with the density, our numerical simulations presents that for higher number of particles and confinement this ratio is smaller to collapse the cloud. We intend to apply our ansatz to determine these critical parameter values. With our analytical solution for the stationary dipolar BEC, it is possible to solve the dynamics of the vortices in the shell through the time-dependent Lagrangia formalism, using the results obtained by the author`and already published. (2)
Referências
1 DINIZ, P. C. et al. Ground state and collective excitations of a dipolar Bose-Einstein condensate in a bubble trap. Scientific Reports, v. 10, p. 4831-1-4831-10, 2020.
2 BERETA, S. J.; CARACANHAS, M. A.; FETTER, A. L. Vortex dynamics on a spherical film. Physical Review A, v. 103, n. 5, p. 053306-1-053306-9, May 2021.
| Certifico que os nomes citados como autor e coautor estão cientes de suas nomeações. | Sim |
|---|---|
| Palavras-chave | Bose-Einstein condensate. Bubble trap. Dipole interaction. |
| Orientador e coorientador | Mônica Andrioli Caracanhas Santarelli |
| Subárea 1 | Física Atômica e Molecular |
| Subárea 2 (opcional) | Física da Matéria Condensada |
| Agência de Fomento | CAPES |
| Número de Processo | 88887.505539/2020-00 |
| Modalidade | DOUTORADO |
| Concessão de Direitos Autorais | Sim |
