arXiv subjects

R. P. Teles

Publications and source records attributed to R. P. Teles.

2 recordsLinked to original sources

arXiv2018

Dynamics of the relativistic Gross-Pitaevskii equation with harmonic potential: Following the variational approach

The role of the collective excitations as well as the free expansion dynamics provide a key diagnostic tools for trapped Bose-Einstein condensations. Based on such dynamics we proposed to study the relativistic version of them in the context of a macroscopic occupation of the ground-state for spin-0 particles. Therefore we used the Higgs model where the external trap is introduced by a non-minimal coupling. Along with variational method, we obtained a nonlinear coupling between dipolar and monopolar modes. Furthermore, the free expansion is no longer ballistic reaching a relativistic confinement.

cond-mat.quant-gas↗

arXiv2013

Coupling vortex dynamics with collective excitations in Bose-Einstein Condensates

Here we analyze the collective excitations as well as the expansion of a trapped Bose-Einstein condensate with a vortex line at its center. To this end, we propose a variational method where the variational parameters have to be carefully chosen in order to produce reliable results. Our variational calculations agree with numerical simulations of the Gross-Pitaevskii equation. The system considered here turns out to exhibit four collective modes of which only three can be observed at a time depending of the trap anisotropy. We also demonstrate that these collective modes can be excited using well established experimental methods such as modulation of the s-wave scattering length.

cond-mat.quant-gas↗