Stability and instability properties of rotating Bose-Einstein condensates

Abstract

We consider the mean-field dynamics of Bose-Einstein condensates in rotating harmonic traps and establish several stability and instability properties for the corresponding solution. We particularly emphasize the difference between the situation in which the trap is symmetric with respect to the rotation axis and the one where this is not the case.

13 pages; corrected a systematic typo

Cited by in corpus (10)

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• Growth of Sobolev norms for coupled Lowest Landau Level equations
• Local Uniqueness of Ground States for Rotating Bose-Einstein Condensates with Attractive Interactions
• Threshold for Blowup and Stability for Nonlinear Schrödinger Equation with Rotation
• The Nonexistence of Vortices for Rotating Bose-Einstein Condensates in Non-Radially Symmetric Traps
• Computing the action ground state for the rotating nonlinear Schrödinger equation
• On stability of rotational 2D binary Bose-Einstein condensates
• Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation
• On action ground states of defocusing nonlinear Schrödinger equations
• Enhancement of the Zakharov-Glassey's method for Blow-Up in nonlinear Schroedinger equations