Stability and Decay Rates of Non-Isotropic Attractive Bose-Einstein Condensates

Abstract

Non-Isotropic Attractive Bose-Einstein condensates are investigated with Newton and inverse Arnoldi methods. The stationary solutions of the Gross-Pitaevskii equation and their linear stability are computed. Bifurcation diagrams are calculated and used to find the condensate decay rates corresponding to macroscopic quantum tunneling, two-three body inelastic collisions and thermally induced collapse. Isotropic and non-isotropic condensates are compared. The effect of anisotropy on the bifurcation diagram and the decay rates is discussed. Spontaneous isotropization of the condensates is found to occur. The influence of isotropization on the decay rates is characterized near the critical point.

arXiv commentrevtex4, 11 figures, 2 tables. Submitted to Phys. Rev. A

References in corpus (16)

• Formation and Propagation of Matter Wave Soliton Trains
• Realization of Bose-Einstein condensates in lower dimensions
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Controlled Collapse of a Bose-Einstein Condensate
• Bose--Einstein solitons in highly asymmetric traps
• Stability of trapped Bose-Einstein condensates
• Growth and Collapse of a Bose Condensate with Attractive Interactions
• Macroscopic Quantum Tunneling of a Bose-Einstein Condensate with Attractive Interaction
• Sympathetic cooling of bosonic and fermionic Lithium gases towards quantum degeneracy
• Critical number of atoms for attractive Bose-Einstein condensates with cylindrically symmetrical traps
• Macroscopic Quantum Tunneling of a Bose Condensate
• Stability of Bose condensed atomic Li-7
• Improved numerical approach for time-independent Gross-Pitaevskii nonlinear Schroedinger equation
• Collapse of attractive Bose-Einstein condensed vortex states in a cylindrical trap
• Critical numbers of attractive Bose-condensed atoms in asymmetric traps
• Quantized hydrodynamic model and the dynamic structure factor for a trapped Bose gas

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