Critical number of atoms for the magnetically trapped Bose-Einstein condensate with negative s-wave scattering length

1998 ◽  
Vol 247 (4-5) ◽  
pp. 287-293 ◽  
Author(s):  
Miki Wadati ◽  
Takeya Tsurumi
Keyword(s):  
Wave Scattering ◽  
Scattering Length ◽  
Einstein Condensate ◽  
Critical Number ◽  
S Wave ◽  
Magnetically Trapped ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Collective excitation of a Bose-Einstein condensate by modulation of the atomic scattering length

2010 ◽  
Vol 81 (5) ◽  
Author(s):  
S. E. Pollack ◽  
D. Dries ◽  
R. G. Hulet ◽  
K. M. F. Magalhães ◽  
E. A. L. Henn ◽  
...  
Keyword(s):  
Collective Excitation ◽  
Scattering Length ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Atomic Scattering ◽  
Bose Einstein

scholarly journals Jeans Instability of Dissipative Self-Gravitating Bose–Einstein Condensates with Repulsive or Attractive Self-Interaction: Application to Dark Matter

Universe ◽  
2020 ◽  
Vol 6 (12) ◽  
pp. 226
Author(s):  
Pierre-Henri Chavanis
Keyword(s):  
Dark Matter ◽  
Scattering Length ◽  
Maximum Growth ◽  
Maximum Growth Rate ◽  
Einstein Condensate ◽  
Wave Number ◽  
Arbitrary Form ◽  
Bose Einstein Condensate ◽  
Jeans Instability ◽  
Bose Einstein

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.

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