Stability of Logarithmic Bose-Einstein Condensate in Harmonic Trap
arXiv:1507.03288 · doi:10.1142/S0217984914502601
Abstract
In this paper we investigate the stability of a recently introduced Bose-Einstein condensate (BEC) which involves logarithmic interaction between atoms. The Gaussian variational approach is employed to derive equations of motion for condensate widths in the presence of a harmonic trap. Then we derive the analytical solutions for these equations and find them to be in good agrement with numerical data. By analyzing deeply the frequencies of collective oscillations, and the mean-square radius, we find that the system is always stable for both negative and positive week logarithmic coupling. However, for strong interaction the situation is quite different: our condensate collapses for positive coupling and oscillates with fixed frequency for negative one. These special results remain the most characteristic features of the logarithmic BEC compared to that involving two-body and three-body interactions.
arXiv comment17 pages, 18 figures
References in corpus (16)
- Theory of Bose-Einstein condensation in trapped gases
- Dynamics of collapsing and exploding Bose-Einstein condensates
- Bosons in anisotropic traps: ground state and vortices
- Propagation of Bose-Einstein condensates in a magnetic waveguide
- Stability of trapped Bose-Einstein condensates
- Atomic Bose-Einstein Condensation with Three-Body Interactions and Collective Excitations
- Three body problem in a dilute Bose-Einstein condensate
- Collective excitation of a Bose-Einstein condensate by modulation of the atomic scattering length
- Stability of Bose condensed atomic Li-7
- Quantum Bose liquids with logarithmic nonlinearity: Self-sustainability and emergence of spatial extent
- Frequency shift and mode coupling in the nonlinear dynamics of a Bose condensed gas
- Spontaneous symmetry breaking and mass generation as built-in phenomena in logarithmic nonlinear quantum theory
- Mean-field description of collapsing and exploding Bose-Einstein condensates
- Stability criterion for attractive Bose-Einstein condensates
- Volume element structure and roton-maxon-phonon excitations in superfluid helium beyond the Gross-Pitaevskii approximation
- Geometric Resonances in Bose-Einstein Condensates with Two- and Three-Body Interactions
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