Quantisation of the elliptical Penning trap

Crimin, F. , Garraway, B. M. and Verdu, J. L. (2021) Quantisation of the elliptical Penning trap. Journal of Physics B: Atomic, Molecular and Optical Physics, 54(11), 115501. (doi: 10.1088/1361-6455/abfeda)

Abstract

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.

• Item Type: Articles
• Additional Information: This work was supported by the UK Engineering and Physical Sciences Research Council [Grant No. EP/K503198/1].
• Keywords: Paper, Quantum Technologies, Penning trap, quantum optics, elliptical Penning trap, trapped electrons.
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Crimin, Dr Frances
• Authors: Crimin, F., Garraway, B. M., and Verdu, J. L.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Journal of Physics B: Atomic, Molecular and Optical Physics
• Publisher: IOP Publishing
• ISSN: 0953-4075
• ISSN (Online): 1361-6455
• Copyright Holders: Copyright © 2021 The Author(s)
• First Published: First published in Journal of Physics B 54(11): 115501
• Publisher Policy: Reproduced under a Creative Commons licence