Stability of Bose-Einstein Condensates Confined in Traps

Abstract

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas Bose-Einstein condensates. Among them, stability of Bose-Einstein condensates confined in traps is mainly discussed. Static properties of the ground state are investigated by use of the variational method. The anlysis is extended to the stability of two-component condensates. Time-development of the condensate is well-described by the Gross-Pitaevskii equation which is known in nonlinear physics as the nonlinear Schrödinger equation. For the case that the inter-atomic potential is effectively attractive, a singularity of the solution emerges in a finite time. This phenomenon which we call collapse explains the upper bound for the number of atoms in such condensates under traps.

74 pages with 12 figures, submitted to the review section of International Journal of Modern Physics B

References in corpus (3)

• Spin domain formation in spinor Bose-Einstein condensation
• Internal Vortex Structure of a Trapped Spinor Bose-Einstein Condensate
• Atom holography

Cited by in corpus (7)

• Inverse scattering method for square matrix nonlinear Schrödinger equation under nonvanishing boundary conditions
• Exact results for a tunnel-coupled pair of trapped Bose-Einstein condensates
• Conformal symmetry and the nonlinear Schrodinger equation
• Correlation induced collapse of many-body systems with zero-range potentials
• Exact results on the dynamics of multi-component Bose-Einstein condensate
• Non-linear Schr$\ddot{o}$dinger equation with time-dependent balanced loss-gain and space-time modulated non-linear interaction
• Stability Analysis of a Bose-Einstein Condensate Trapped in a Generic Potential