Stability of trapped Bose-Einstein condensates
By F. Abdullaev, A. Gammal, L. Tomio, T. Frederico. 2001
163 citations recorded by the source corpus.
In three-dimensional trapped Bose-Einstein condensate (BEC), described by the time-dependent Gross-Pitaevskii-Ginzburg equation, we study the effect of initial conditions on stability using a Gaussian variational approach and exact numerical simulations. We also discuss the validity of the criterion for stability suggested by Vakhitov and Kolokolov. The maximum initial chirp (initial focusing defocusing of cloud) that can lead a stable condensate to collapse even before the number of atoms reaches its critical limit is obtained for several specific cases. When we consider two- and three-body nonlinear terms, with negative cubic and positive quintic terms, we have the conditions for the existence of two phases in the condensate. In this case, the magnitude of the oscillations between the two phases are studied considering sufficient large initial chirps. The occurrence of collapse in a BEC with repulsive two-body interaction is also shown to be possible.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4aa39fd1e88d17e11311f6ebea92e9b56109cfa3
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In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- A new form of liquid matter: Quantum droplets (2020, background): “It accounts for three-body repulsive interactions in the bosonic gas [62], although the realization of this feature is the fact that three-particle collisions give rise to losses, kicking out particles from the condensate [63].”