Abstract
We report a detailed theoretical model of recently-demonstrated magnetic trap system based on a pair of magnetic tips. The model takes into account key parameters such as tip diameter, facet angle and gap separation. It yields quantitative descriptions consistent with experiments such as the vertical and radial frequency, equilibrium position and the optimum facet angle that produces the strongest confinement. We arrive at striking conclusions that a maximum confinement enhancement can be achieved at an optimum facet angle $\theta_{max}=\arccos{\sqrt{2/3}}$ and a critical gap exists beyond which this enhancement effect no longer applies. This magnetic trap and its theoretical model serves as a new and interesting example of a simple and elementary magnetic trap in physics.
Highlights
Various electromagnetic trap systems play important roles in physics for their ability to trap and isolate particles or matter and have produced many applications and discoveries
Beyond the recent interest in various magnetic traps, this model serves as an elementary example of a simple magnetic trap system based on conical tip geometry. This adds to the collection of various types of diamagnetic trap systems that have been known in physics [8,9,10,11,12,26,27]
We perform the analysis in the limit of a very strong trap (i.e., λ0 a) where the diamagnetic object will be trapped near the center (z0 ∼ 0)
Summary
Various electromagnetic trap systems play important roles in physics for their ability to trap and isolate particles or matter and have produced many applications and discoveries. The tip geometry maximizes B ∇B at the trapped object, which leads to stronger field confinement and high frequency and a high quality factor (Q) These characteristics are of high interest for research that explores macroscopic limits of classical mechanics and quantum mechanics. Beyond the recent interest in various magnetic traps, this model serves as an elementary example of a simple magnetic trap system based on conical tip geometry This adds to the collection of various types of diamagnetic trap systems that have been known in physics [8,9,10,11,12,26,27]
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