Gravity-induced resonances in a rotating trap
arXiv:quant-ph/0412004 · doi:10.1103/PhysRevA.71.043610
Abstract
It is shown that in an anisotropic harmonic trap that rotates with the properly chosen rotation rate, the force of gravity leads to a resonant behavior. Full analysis of the dynamics in an anisotropic, rotating trap in 3D is presented and several regions of stability are identified. On resonance, the oscillation amplitude of a single particle, or of the center of mass of a many-particle system (for example, BEC), grows linearly with time and all particles are expelled from the trap. The resonances can only occur when the rotation axis is tilted away from the vertical position. The positions of the resonances (there are always two of them) do not depend on the mass but only on the characteristic frequencies of the trap and on the direction of the angular velocity of rotation.
10 pages, 12 figures, to appear in Physical Review A
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Cited by in corpus (6)
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- Stability and instability properties of rotating Bose-Einstein condensates
- Pinning and transport of cyclotron/Landau orbits by electromagnetic vortices
- Stationary states, dynamical stability, and vorticity of Bose-Einstein condensates in tilted rotating harmonic traps
- Wave functions of linear systems
- Guiding neutral polar molecules by electromagnetic vortex field --- a classical approach