Nonlinear Dynamics of Multi-Component Bose-Einstein Condensates : Anti-Gravity Transport and Vortex Chaos(Quantum Mechanics and Chaos)
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概要
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Bose-Einstein condensate(BEC) provides a nice stage when the nonlinear Schrodinger equation plays a vital role. We study the dynamics of multi-component repulsive BEG in 2 dimensions with harmonic traps by using the nonlinear Schrodinger (or Gross-Pitaevskii) equation. Firstly we consider a driven two-component BEC with each component trapped in different vertical positions. The appropriate tuning of the oscillation frequency of the magnetic field leads to a striking anti-gravity transport of BEC. This phenomenon is a manifestation of macroscopic non-adiabatic tunneling in a system with two internal(electronic) degrees of freedom. The dynamics splits into a fast complex spatio-temporal oscillation of each condensate wave functions together with a slow levitation of the total center of mass. Secondly, we examine the three-component repulsive BEC in 2 dimensions in a harmonic trap in the absence of magnetic field, and construct a model of conservative chaos based on a picture of vortex molecules. We obtain an effective nonlinear dynamics for three vortex cores, which represents three charged particles under the uniform magnetic field with the repulsive inter-particle potential quadratic in the inter-vortex distance r_<ij> on short scale and logarithmic in r_<ij> on large scale. The vortices here acquire the inertia in marked contrast to the standard theory of point vortices since Onsager. We then explore "the chaos in the three-body problem" in the context of vortices with inertia.
- 理論物理学刊行会の論文
- 2007-05-31
著者
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NAKAMURA Katsuhiro
Department of Applied Physics, Osaka City University
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Nakamura Katsuhiro
Department Of Applied Physics Osaka City University
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Nakamura Katsuhiro
Department Of Applied Physics Faculty Of Enginering Osaka City University
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