Log Horizon Episodio 11
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Practical issues have, so far, prevented the observation of the gyroscopic regime in a micromagnet above a superconducting trap. In fact, in order to observe free precession on the horizontal plane, one needs the trapping potential to feature a perfect rotational symmetry. In type-II superconductors, this condition is practically impossible to achieve due to the unpredictable effect of flux pinning. In type I traps, other effects can show up. For instance, in ref. [12] the rotational symmetry was broken by finite tilts of the trap with respect to gravity. Further work is needed to control and suppress all rotational symmetry-breaking mechanisms, either by proper trap design or by active methods.
Under the assumption of perfect rotational symmetry, Fadeev et al. [7] have analyzed the dynamics of a levitated magnet above a type-I superconducting plane. The authors found that gyroscopic dynamics can indeed be observed, but with significant modifications with respect to the free-fall case. In particular, the image field Bi produced by the superconductor results in an additional restoring torque for small librations off the horizontal position (β motion in Section 2) with respect to a system levitated without magnetic fields. The Larmor precession frequency case is then suppressed to: 59ce067264
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