scholarly journals Resonance in Bose Einstein condensate oscillation from a periodic variation in scattering length

2003 ◽  
Vol 36 (6) ◽  
pp. 1109-1120 ◽  
Author(s):  
Sadhan K Adhikari
2010 ◽  
Vol 81 (5) ◽  
Author(s):  
S. E. Pollack ◽  
D. Dries ◽  
R. G. Hulet ◽  
K. M. F. Magalhães ◽  
E. A. L. Henn ◽  
...  

Universe ◽  
2020 ◽  
Vol 6 (12) ◽  
pp. 226
Author(s):  
Pierre-Henri Chavanis

We study the Jeans instability of an infinite homogeneous dissipative self-gravitating Bose–Einstein condensate described by generalized Gross–Pitaevskii–Poisson equations [Chavanis, P.H. Eur. Phys. J. Plus2017, 132, 248]. This problem has applications in relation to the formation of dark matter halos in cosmology. We consider the case of a static and an expanding universe. We take into account an arbitrary form of repulsive or attractive self-interaction between the bosons (an attractive self-interaction being particularly relevant for the axion). We consider both gravitational and hydrodynamical (tachyonic) instabilities and determine the maximum growth rate of the instability and the corresponding wave number. We study how they depend on the scattering length of the bosons (or more generally on the squared speed of sound) and on the friction coefficient. Previously obtained results (notably in the dissipationless case) are recovered in particular limits of our study.


2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Maria Crăciun ◽  
Tiberiu Harko

Abstract The nature of one of the fundamental components of the Universe, dark matter, is still unknown. One interesting possibility is that dark matter could exist in the form of a self-interacting Bose–Einstein Condensate (BEC). The fundamental properties of dark matter in this model are determined by two parameters only, the mass and the scattering length of the particle. In the present study we investigate the properties of the galactic rotation curves in the BEC dark matter model, with quadratic self-interaction, by using 173 galaxies from the recently published Spitzer Photomery & Accurate Rotation Curves (SPARC) data. We fit the theoretical predictions of the rotation curves in the slowly rotating BEC models with the SPARC data by using genetic algorithms. We provide an extensive set of figures of the rotation curves, and we obtain estimates of the relevant astrophysical parameters of the BEC dark matter halos (central density, angular velocity and static radius). The density profiles of the dark matter distribution are also obtained. It turns out that the BEC model gives a good description of the SPARC data. The presence of the condensate dark matter could also provide a solution for the core–cusp problem.


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