Quantisation of the elliptical Penning trap

Crimin, Frances, Garraway, Barry M and Verdú, Jose L (2021) Quantisation of the elliptical Penning trap. Journal of Physics B: Atomic, Molecular and Optical Physics, 54 (11). a115501 1-10. ISSN 0953-4075

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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: Article
Keywords: Penning traps, quantum optics, elliptical Penning trap, trapped electrons
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 28 Jun 2021 06:44
Last Modified: 28 Jun 2021 07:01
URI: http://sro.sussex.ac.uk/id/eprint/100004

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