Stability of Solution of the Nonlinear Schrödinger Equation for the Bose-Einstein Condensation

Abstract

We investigate the stability of the Bose-Einstein condensate (BEC) the case of atoms with negative scattering lengths at zero temperature using the Ginzburg-Pitaevskii-Gross (GPG) stationary theory. We have found a new exact equation for determining the upper bound of the critical numbers $N_{cr}$ of atoms for a metastable state to exist. Our calculated value of $N_{cr}$ for Bose-Einstein condensation of lithium atoms based on our new equation is in agreement with those observed in a agreement with those observed in a recent experiment.

8 pages, Latex

References in corpus (1)

• Macroscopic Quantum Tunneling of a Bose-Einstein Condensate with Attractive Interaction

Cited by in corpus (8)

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• Stability of Bose-Einstein Condensates Confined in Traps
• Fate of a Bose-Einstein condensate with attractive interaction
• Effective Linear Two-Body Method for Many-Body Problems
• Stability and collapse of a hybrid Bose-Einstein condensate of atoms and molecules
• Equivalent Linear Two-Body Equations for Many-Body Systems