Quantisation of the elliptical Penning trap
Quantisation of the elliptical Penning trap
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DOI：
10.1088/1361-6455/abfeda
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
F. Crimin;B. Garraway;J. Verdú
中科院分区：
文献类型：
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作者：
F. Crimin;B. Garraway;J. Verdú
本文给出了椭圆Penning阱的量子理论，即静电阱势围绕阱磁场轴的圆柱对称性被破坏的一般情况。该理论适用于轻微和高度椭圆的陷阱，它表明，在这些陷阱中的粒子的量子态之间的差异对应于它们的运动模式在xy平面的压缩程度的变化。在具有可调椭圆率的陷阱中，例如Geonium Ghip平面Penning陷阱，通过捕获电压控制椭圆率能够压缩粒子的量子态。我们讨论了绝热制备这样的压缩状态，这自然是从外观的避免交叉之间的非绝热水平的耦合运动状态的粒子。
We present the quantum theory of the elliptical Penning trap, i.e. the general case where the cylindrical symmetry of the electrostatic trapping potential around the trapping magnetic field axis is broken. The theory applies to both slightly and highly elliptical traps, where it is shown that the difference between the quantum states of particles in these traps corresponds to a variation of the degree of squeezing of their motional modes in the xy-plane. In a trap with tunable ellipticity, such as the Geonium Ghip planar Penning trap, it follows that control of the ellipticity via the trapping voltages enables squeezing of the quantum states of the particle. We discuss the adiabatic preparation of such squeezed states, which follows naturally from the appearance of an avoided crossing between the diabatic levels of the coupled motional states of the particle.